P6 STEP BY STEP PLEASE. NEED WITHIN 72 HOURS (BEFORE THURSDAY EVENING, PLEASE) Question 1 Given/Gegee: Z ~ N(0, 1). 1.1 P(- 2.15 < Z < 1.52) 1.2 Calculate/Bereken: P(Z > 2.18) 1.3 P ( Z >1.5 ) 1.4 P ( Z <0.68 ) 1.5 P ( 0.2< Z <1.5 ) 1.6 P (2.89< Z<1.05 ) 1.7 P ( Z <3.2 ) Question 2 A luxury passenger liner has 500 passengers on board whose ages are normally distributed around a mean of 60 years with a standard deviation of 12 years./ 'n Luukse passasierskip het 500 passasiers aan boord. Hul ouderdomme word normal verdeel om 'n gemiddelde van 60 jaar heen, met 'n standaardafwyking van 12 jaar. 2.1 How many of the passengers are between 45 and 78 years old? Hoeveel van die passasiers is tussen 45 en 78 jaar oud? 2.2 What percentage of the passengers is between 48 and 72 years old? Watter persentasie van die passasiers is tussen 48 en 72 jaar oud? 2.3 P ( X >84 ) 2.4 P ( X <80 ) question 3 the number of combines sold each year by a dealership that specialises in agricultural equipment is poisson random variable with an average 4. what probability will sell: 3.1 3.2 3.3 less than five given year. more three period six months. exactly eight two period. 4 if x mean 5, find: p( 4.1 4.2 3) 4.3>3) NEED WITHIN 2 DAYS PLEASE. ANSWERS ONLY FOR THE QUESTIONS UNDERNEATH THANKS Question 1 1. What is the answer of question 1.1 in practical 6? 0.93 32 0.91 99 0.99 11 0.98 98 Question 2 1. What is the answer of question 1.3 in practical 6? 0.98 65 0.96 65 0.93 32 0.89 89 Question 3 1. What is the answer of question 1.5 in practical 6? 0.35 39 0.29 75 0.34 85 0.32 15 Question 4 1. What is the answer of question 1.6 in practical 6? 0.83 2 0.16 8 0.85 5 0.14 5 1 points Question 5 1. What is the answer of question 2.1 in practical 6? 40 0 41 4 42 0 42 4 1 points Question 6 1. What is the answer of question 2.2 in practical 6? 56.25 % 77.25 % 68.26 % 87.25 % 1 points Question 7 1. What is the answer of question 3.1 in practical 6? 0.01 83 0.19 54 0.62 89 0.14 65 1 points Question 8 1. What is the answer of question 3.2 in practical 6? 0.14 29 0.13 53 0.27 07 0.18 04 Question 9 1. What is the answer of question 4.1 in practical 6? 0.14 25 0.89 56 0.14 04 0.16 23 Question 10 1. What is the answer of question 4.3 in practical 6? 0.73 50 0.88 25 0.79 65 0.88 34 T 6 - need by 1 April please. Show all steps. Question 1 Find the value of k if the random variable X is from a standard normal population such that P(0 < X < k) = 0.004. 0.5 0.0 5 0.0 1 1 0.0 5 Question 2 Bepaal die volgende as / Determine the following if Z ~ N(0 , 1): P(Z 1.42) 0.92 22 0.07 78 0.08 28 0.09 13 0.84 64 Question 3 Suppose the mass of gorillas, in kg, are N(160;400) distributed. Find the percentage of gorillas with mass more than 200 kg. / 12.2 % 15.38 % 15.87 % 12.22 % Question 4 Albino rotte wat gebruik word om die hormoonregulering van 'n metaboliese pad te bestudeer, word met 'n middel in gespuit wat die ligaam se sintese van protein inhibeer. Gewoonlik gaan 4 uit 20 rotte dood van die middel voor die eksperiment verby is. Nou Nou word 10 diere met die middel behandel. Wat is die waarskynlikheid dat 5 van hierdie diere sal doodgaan voor die eksperiment verby is? / Albino rats used to study the hormonal regulation of a metabolic pathway are injected with a drug that inhibits body synthesis of protein. Usually, 4 out of 20 rats die from the drug before the experiment is over. This time round, 10 animals are treated with the drug. What is the probability that 5 of these animals will die before the experiment is over? 0.8 0.00 01 252 0.40 32 0.02 64 Question 5 True or False: Theoretically, the mean, median, and the mode are all equal for a normal distribution. True False Question 6 'n Draer van tuberkulose het 'n 20% kans om die siekte aan iemand oor te dra waarmee hy in noue kontak kom, as die persoon nog geen vorige blootstelling gehad het nie. Gedurende die verloop van 'n dag kom hy met 10 sulke individue in kontak. Watter gebeurtenis sal in hierdie geval as 'n sukses beskou word? / A carrier of tuberculosis has a 20% chance of passing the disease on to anyone with whom he comes into close contact who has had no prior exposure. During the course of a day, he comes into contact with 10 such individuals. Which event will be considered a success in this case? 'n Draer van tuberkulose / A carrier of tuberculosis Persoon sonder vorige blootstelling word siek / Person without previous exposure contracts the disease Bloodstelling / Exposure Kontak met individue / Contact with individuals Geeneen van bostaande / None of the above Question 7 Vir diabete kan die vastende bloodglukose vlak Z (gemeet in mg/100ml) aanvaar word normaalverdeel te wees met gemiddelde 106 en standaardafwyking 8. Watter persentasie diabete sal vlakke tussen 90 en 120 h? / Among diabetics, the fasting blood glucose level X(measured in mg/100ml ) may be assumed to be normally distributed with mean 106 and standard deviation 8. What percentage of diabetics have levels between 90 and 120? 98.35% 82.62% 9.15% 93.71% 84.56% Question 8 A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 66 years and a standard deviation of 4 years. What proportion of the plan recipients would receive payments beyond age 75? 0.08 98 0.01 22 0.08 58 0.09 14 Question 9 If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.8 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot. 0.79 19 0.75 52 0.79 38 0.72 21 Question 10 A major hotel chain keeps a record of the number of mishandled bags per 1 000 customers. In a recent year, the hotel chain had 2.16 mishandled bags per 1 000 customers. Assume that the number of mishandled bags has a Poisson distribution. What is the probability that in the next 1 000 customers, the chain will have at least one mishandled bags? 0.88 47 0.82 54 0.81 28 0.81 24 0.73 56 Question 11 A major hotel chain keeps a record of the number of mishandled bags per 1 000 customers. In a recent year, the hotel chain had 2.16 mishandled bags per 1000 customers. Assume that the number of mishandled bags has a Poisson distribution. What is the probability that in the next 1 000 customers, the hotel chain will have no more than four mishandled bags? 0.92 62 0.99 87 0.93 18 0.86 13 0.82 56 Question 12 A major hotel chain keeps a record of the number of mishandled bags per 1 000 customers. In a recent year, the hotel chain had 2.16 mishandled bags per 1 000 customers. Assume that the number of mishandled bags has a Poisson distribution. What is the probability that in the next 1 000 customers, the hotel chain will have at least two mishandled bags? 0.72 22 0.75 86 0.63 56 0.61 58 0.52 53 Question 13 If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.8 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes. 0.25 51 0.21 19 0.22 74 0.29 15 Question 14 'n Chirurgiese procedure word beweer in 80% van gevalle suksesvol te wees. Hierdie prosedure sal op vyf verskillende pasinte in die komende week uitgevoer word. Wat is die waarskynlikheid van 'n mislukking? / A new surgical procedure is said to be successful 80% of the time. This procedure will be performed on five different patients in the coming week. What is the probability of a failure? 0.8 0.2 0.028 6 0.000 32 0.462 8 Question 15 In its standardized form, the normal distribution has a mean of 0 and a standard deviation of 1. has a mean of 1 and a variance of 0. has an area equal to 0.5. cannot be used to approximate discrete probability distributions. Hi You are now working on P9 and T9 and I owe you 70 dollars for Friday 22 April Kindly find P10 and T10 - due 25 April and offering 30 dollars Kindly find ASSIGNMENT 2 - My offer for this is 70 dollars and due 6 May 2016 I then owe you 170 dollars (and you need to remind me if I forget) I need ASS 2 by 6 May 2016 and step-by-step please. Kindly send me a message with your direct link when you get it. Question 1 1. After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005. The old index numbers were: (2000=100) 1998 1999 2000 2001 2002 2003 2004 2005 2006 (2005=100) 92 98 100 104 110 118 120 125 115 A B C D E F G H I 2. Find the value of I. 13 4 11 3 92 66 1 points Question 2 1. Supposed you have to withdraw R15 000 in one year time from when you had access to the fund, and R20 000 in two years. How much do you need in your account now at 9% p.a compounded monthly? You decide to invest the difference that was left from your fund after opening the account in a mutual fund that offer a variable rate as follow: 11% p.a compounded quarterly for the first three years, 9% p.a compounded monthly for the next two years 10% effective thereafter. What is the balance in the account after 9 years? 1 000 456.7 893 45 000.456 7 70 000.567 9 69 313.193 2 1 points Question 3 1. Z is a standard normal random variable. Find P(Z > 0.17) = ...........? 0.23 9 0.56 75 0.64 10 0.87 2 1 points Question 4 1. Games Furnishers has maintained records on its three most popular items for three consecutive years. The data are given in the table below. The prices are the unit price in rand and the quantities are in number of units sold: Household Items Price Quantity 2006 2007 2008 2006 2007 2008 Sofas 2800 3000 3100 50 55 65 Television sets 2580 2550 2480 100 120 150 Refrigerators 2450 2440 2440 10 20 40 2. The simple composite quantity index for 2007, with 2006 as the base year is: 82.0 5 112. 88 121. 88 130. 77 1 points Question 5 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. Find the value of E. 880 0 820 0 780 0 560 0 1 points Question 6 1. Among diabetics, the fasting blood glucose level X (measured in mg/100ml) may be assumed to be normally distributed with mean 106 and standard deviation 8. What percentages of diabetics have levels between 90 and 120? 98.35 % 82.62 % 9.15 % 93.71 % 1 points Question 7 1. A certain type of new business succeeds 70% of the time. Suppose that four such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). The probability that all four businesses succeed is? 0.24 01 0.30 18 0.14 28 0.42 07 1 points Question 8 1. Consider the following two price index series: Year 1995 = 100 2002 2003 2004 2005 80 86 90 94 Year 2005 = 100 2005 2006 2007 2008 115 121 130 133 2. 3. Splice the two index series to form one continuous series with 1995 as the base year. The index for 2004 is: 80 90 115 122. 34 1 points Question 9 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. Find the value of A. 11 0 16 0 12 0 14 0 1 points Question 10 1. A Statistics instructor has observed that the number of typographical errors in new editions of textbooks varies considerably from book to book. After some analysis, he concludes that an average there is 1.5 errors per 100 pages. The instructor selects randomly 100 pages of a new book. What is the probability that there are no typographical errors? 0.21 31 0.22 31 0.34 13 0.57 32 1 points Question 11 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. Find Laspeyres price index for 2005 with 2002 as base. 106.1 2 112.5 E) 94.8 D) 87.5 1 points Question 12 1. A Statistics instructor has observed that the number of typographical errors in new editions of textbooks varies considerably from book to book. After some analysis, he concludes that an average there is 1.5 errors per 100 pages. What distribution best describe this experiment? Binomial Normal Poisson Exponent ial 1 points Question 13 1. You have being given access to fund of R70 000 from a relative as a reward to getting into university. The fund was opened four years ago with an opening balance of R50 000 A what annual rate of simple interest was the fund opened by your relative? 12 % 10 % 0.1 6% 1 points Question 14 1. In its standardized form, the normal distribution has a mean of 0 and a standard deviation of 1. has a mean of 1 and a variance of 0. has an area equal to 0.5. cannot be used to approximate discrete probability distributions. 1 points Question 15 1. Z is a standard normal random variable. Find P(Z < 1.96) = ..............? 0.97 50 0.6 1 0.19 6 1 points Question 16 1. Suppose that X is normally distributed with the mean 280 and the standard deviation of 20. The probability P(241 < X < 301.60) is: 0.1145 0.2266 0.7734 None of the above 1 points Question 17 1. If X has a binomial distribution with n = 4 and p = 0.3, then P(X > 1) = ..........? 0.34 83 0.45 68 0.46 23 0.41 53 1 points Question 18 1. Suppose the mass of students, in kg is N(68; 9) distributed. Find the probability of students with the mass less than 63 kg. 0.28 77 0.71 23 0.95 25 0.04 75 1 points Question 19 1. After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005. The old index numbers were: (2000=100) 92 98 100 104 110 118 120 125 115 1998 1999 2000 2001 2002 2003 2004 2005 2006 (2005=100) A B C D E F G H I 2. Find the value of E. 110. 25 108. 2 88 72 1 points Question 20 1. Theoretically, the mean, median, and the mode are all equal for a normal distribution. True False 1 points Question 21 1. Consider the following two piece index series: 2008=100 2007 2008 2009 2010 2011 2012 94 100 115 110 2012=100 80 90 100 2010=10 0 A B C D E F 2013 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. Find the value of B. 88.9 0 90.9 1 86.9 6 92.9 0 1 points Question 22 1. Let X be a random variable with the standard normal distribution. Find: P(X < 2.57) 0.99 38 0.99 65 0.00 51 0.99 49 1 points Question 23 1. Given 0.48 0.49 0.58 0.55 Find k 1 points Question 24 1. The Table below was taken from a census and represents the number of person living in the household and the derived probability distribution. Number of Persons Number of Households (Millions) P(x) 1 2 3 4 5 6 7 or more 31.1 38.6 18.8 16.2 7.2 2.7 1.4 .268 .333 .162 .140 .062 .023 .012 2. What is the variance of X? 1.95 4 2.51 2 1.39 8 5.30 1 1 points Question 25 1. If n = 8 and p = 0.60, then the mean of the binomial distribution is? 8.0 7 6.4 5 4.8 4.2 9 1 points Question 26 1. Given . Find k 2.1 2 1.2 9 1.82 1.1 8 1 points Question 27 1. Let X be a random variable with the standard normal distribution. Find: P( 0.53 < X < 2.03) 0.70 19 0.978 8 0.276 9 0.298 1 0.195 6 1 points Question 28 1. A manufacturer of power tools claims that the mean amount of time required to assemble their top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a random sample of 64 purchasers of this table saw is taken. The probability that the sample mean will be between 77 and 89 minutes is ________. 0.56 48 0.68 98 0.78 24 0.26 54 1 points Question 29 1. The table below represents the annual salary of an employee at a big local retail company from 2011 to 2015. The table also contains the Consumer Price Index for the same period. Year 2011 2012 2013 2014 2015 Annual Earnings 720000 720000 720000 720000 720000 CPI 100 116 99 110 130 2. What is the real earning of this employee in 2015 relative to the base period? 720 000 2 160 000 553 846.15 60 000 1 points Question 30 1. A carrier of tuberculosis has a 10% chance of passing the disease on to anyone with whom he comes into close contact who has had no prior exposure. During the course of a day, he comes into contact with 10 such individuals. Calculate the probability that 6 of these individuals will contract tuberculosis, we determine? 0.1 0.62 51 0.99 99 0.00 01 1 points Question 31 1. The lifetimes of a certain brand of light bulbs are known to be normally distributed with a mean of 1600 hours and a standard deviation of 400 hours. A random sample of 64 of these light bulbs is taken. The probability is 0.10 that the sample mean lifetime differs from the population mean lifetime by at least how many hours? 6 6 6 4 6 8 6 2 1 points Question 32 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. Find the unweighted price index for 2005 with 2002 as base. 95.1 5 98.9 87.5 100 1 points Question 33 1. Suppose the mass of gorillas, in kg, are N(160;400) distributed. Find the percentage of gorillas with mass between 120 and 130 kg. 6.55 % 9.44 % 5.92 % 4.40 % 1 points Question 34 1. Find the value of k if the random variable Z is from a standard normal population such that P( Z < k) = 0.0094. -2.5 1.2 4 0.8 1 2.3 5 1 points Question 35 1. The data in the table below represents the revenue (in R 10 000 ) of a well - known supermarket for each over a two - year period: The growth rate in revenue for the second term of 2007, using the method current period on the same period of the preceding year is: 2006 R 1432 (II) R 1500 (III) R 1620 (IV) 2007 (I) R 1648 (I) R 1424 (II) R 1610 (III) R 1693 (IV) R 1733 107.33% 7.33% 6.29% 0.073% 1 points Question 36 1. Z is a standard normal random variable. Find P( 0.66 < Z < 0.11) = ............? 0.20 13 0.12 52 0.02 34 0.20 16 1 points Question 37 1. A manufacturing company regularly conducts quality control checks at specified periods on all products manufactured by the company. A new order for 2000 washing machine is due to be delivered to a large franchise hardware store. Historically, the manufacturing record has a failure rate of 15% and the sample to be selected consists of four randomly selected light bulbs that are drawn from the delivery consignment. What is the variance? 0.5 1 0.6 5 0.1 2 0.7 1 1 points Question 38 1. If X has a binomial distribution with n = 5 and p = 0.1, then P(X = 2) = ...........? 0.05 82 0.07 29 0.09 82 0.09 89 1 points Question 39 1. A company that sells annuities bases the annual payout on the probability distribution of the ages (in years) of the participants in the plan. The probability distribution of ages of the participants in the plan is approximately a normal distribution with mean and variance . Let X be random participant age, if P(X > 60) = 20.33% and P(30 < X < 60) = 0.7492 What is the mean age of participants? 5 0 7 0 3 0 5 5 1 points Question 40 1. Consider the following two price index series: Table 1: 2003 86 1995 = 100 2004 90 2005 94 2. Table 2: 2005 115 1990 = 100 2006 121 2007 130 2008 133 3. Splice the two price index series to form one continuous series with 2004 as the base year. What is the index for the year 2008: 115. 65 248 100. 81 141. 49 1 points Question 41 1. A manufacturing company regularly conducts quality control checks at specified periods on all products manufactured by the company. A new order for 2000 washing machine is due to be delivered to a large franchise hardware store. Historically, the manufacturing record has a failure rate of 15% and the sample to be selected consists of four randomly selected light bulbs that are drawn from the delivery consignment. What is the probability that at least light bulbs will be defective? 0.011 98 0.101 97 0.368 48 0.098 22 1 points Question 42 1. A new variety of corn is being developed at an agricultural experimental station. Corn usually has a 90% germination rate. To evaluate this variety, 12 seeds are planted in soil of identical composition and given the same care. What is the probability of a failure? 90 % 0.1 10 8 0.9 1 points Question 43 1. The lifetimes of a certain brand of light bulbs are known to be normally distributed with a mean of 1600 hours and a standard deviation of 400 hours. A random sample of 64 of these light bulbs is taken. The probability is 0.1492 that the sample mean lifetime is more than how many hours? 165 2 150 0 172 4 158 0 1 points Question 44 1. Suppose the mass of gorillas, in kg, are N(160;400) distributed. Find the percentage of gorillas with mass more than 200 kg. / 12.2 % 15.38 % 2.287 % 12.22 % 1 points Question 45 1. The standard deviation of the sampling distribution of a sample proportion is, where p is the population proportion. True False 1 points Question 46 1. The information below contains the annual earnings (in rands) of a company over a five year period from 2010 to 2015, as well as the Consumer Price Index for the same period: Year Annual earnings Real earnings 13450 Consumer Price Index 100 201 0 2011 13800 105 B 2012 15000 112 C 2013 16500 123 D 2014 18000 132 E A 2. Find the value of C. 133 93 142 33 136 36 134 63 1 points Question 47 1. A certain type of new business succeeds 70% of the time. Suppose that four such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). The probability that all four businesses fail is? 0.01 05 0.00 97 0.00 81 0.10 20 1 points Question 48 1. Heights of males are normally distributed with the mean 170 cm and the standard deviation of 8 cm. What is the probability that males are between 164 cm and 176 cm tall? 0.75 00 0.22 66 0.77 34 0.54 68 1 points Question 49 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. The quantity of product II increase / decrease from 2002 to 2005: increase decrease not A) or B) 1 points Question 50 1. The bank proposes you rather deposit the money into a saving account which offer 10% interest per annum, compounded annually. How will you have in this account after 5 years? 112 735.7 105 000 213 874. 3467 150 970.38 P10 - step by step need 26 April offering 30 dollar tip. Please see ASS 2 due 6 May offering 70 dollars. Owe you 70 dollars (work done up to T9 and P9) + 30 dollars (P10 ans T10) as well as 70 dollars tip for (Ass 2) = 170 dollars outstanding Practical 10 1. After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005. / Na sekere oorwegings is daar besluit om die basis jaar van die brandstof indeks te verander van 2000 na 2005. The old index numbers were: / Die ou indeks getalle was: (2000=100) (2005=100) 1998 90 A 1999 96 B 2000 100 C 2001 105 D 2002 110 E 2003 120 F 2004 110 G 2005 80 H 2006 140 I Find the values of A to I in the table. / Bepaal die waardes van A tot I in die tabel. 2. Consider the following two price index series: 1996 = 100 2000 110 2001 112 2002 120 2003 128 2004 130 2005 = 100 2004 93 2005 100 2006 104 2007 109 2008 115 Splice the two price index series to form one continuous series with: 2.1 2.2 3. 2004 as the base year. 2006 as the base year. The table below provides the GDP (in R 1 000 000) in real terms for each trimester during 2008 and 2009. I 2008 66 593 II 67 003 III I 65 232 II 66 694 III 2009 66 838 68 381 Determine the growth rate in the GDP during the first trimester of 2009 by using the method of current period on the: 3.1 Preceding period. 3.2 Preceding period at annual rates. 3.3 Same period of the preceding year. P 10 quiz - answers only Question 1 1. After completing question 1 in practical 10, what is the value of B? 110 125. 5 120 140 1 points Question 2 1. After completing question 1 in practical 10, what is the value of D? 125. 5 118. 5 131. 25 129. 25 1 points Question 3 1. After completing question 1 in practical 10, what is the value of I? 189. 25 185 191. 25 175 Question 4 1. After completing question 2.1 in practical 10, what is the value for 2001? 86.1 5 90.0 3 99.0 4 82.0 1 Question 5 1. After completing question 2.1in practical 10, what is the value for 2006? 118. 43 111. 83 115. 5 108. 85 1 points Question 6 1. After completing question 2.2in practical 10, what is the value for 2002? 88.5 5 80.2 5 82.5 5 86.2 5 1 points Question 7 1. After completing question 2.2 in practical 10, what is the value for 2008? 108. 83 112. 44 110. 58 113. 45 1 points Question 8 1. What is the answer of question 3.1 in practical 10? - 2.4% 2.8% - 3.6% 3.2% Question 9 1. What is the answer of question 3.2 in practical 10? - 6.24% - 7.04% 6.84% 9.65% Question 10 1. What is the answer of question 3.3 in practical 10? 4.04 5.04 - 2.64% 2.04% T10 - step by step need 26 April Question 1 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks reeks: 200 2008=10 0 94 2012=1 00 2010=1 00 A 7 200 8 200 9 201 0 201 1 201 2 201 3 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of A. / Bepaal die waarde van A. 80.5 5 85.4 5 90.4 5 91.5 5 75.6 5 Question 2 1. The information below contains the annual earnings (in rands) of a company over a five year period from 2010 to 2015, as well as the Consumer Price Index for the same period: / Die onderstaande inligting is die jaarlikse verdienste (in rand) van 'n maatskappy oor 'n vyfjaar periode van 2010 tot 2015, sowel as die Verbruikersprysindeks vir dieselfde periode: Yea r 201 0 201 1 201 2 201 3 201 4 Annual earning s 13450 Consum er Price Index 100 Real earnin gs A 13800 105 B 15000 112 C 16500 123 D 18000 132 E 2. Find the value of E. / Bepaal die waarde van E. 132 63 136 36 139 63 146 33 136 63 1 points Question 3 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks reeks: 200 7 200 8 200 9 201 0 201 1 201 2 201 3 2008=10 0 94 2012=1 00 2010=1 00 A 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of G. / Bepaal die waarde van G. 143. 75 140. 75 142. 25 145. 50 150. 75 1 points Question 4 1. Consider the following quantity index series: Shift the base year of this index series to 2007. Year 2005 = 100 200 5 200 6 200 7 200 8 100 106 116 121 2. The new index for 2005 is: 100 102. 36 96.3 5 86.2 1 1 points Question 5 1. Consider the following two price index series: Year 1995 = 100 200 2 200 3 200 4 80 86 90 200 5 94 Year 2005 = 100 200 5 200 6 200 7 200 8 115 2. 121 130 133 3. Splice the two index series to form one continuous series with 1995 as the base year. The index for 2008 is: 108. 71 110. 28 112. 58 106. 33 1 points Question 6 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks eeks: 200 7 200 8 200 9 201 0 201 1 201 2 201 3 2008=10 0 94 2012=1 00 2010=1 00 A 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of C. / Bepaal die waarde van C. 100 106. 45 104. 55 108. 45 98.5 5 1 points Question 7 1. The information below contains the annual earnings (in rands) of a company over a five year period from 2010 to 2015, as well as the Consumer Price Index for the same period: / Die onderstaande inligting is die jaarlikse verdienste (in rand) van 'n maatskappy oor 'n vyfjaar periode van 2010 tot 2015, sowel as die Verbruikersprysindeks vir dieselfde periode: Yea r 201 0 201 1 201 2 201 3 201 4 Annual earning s 13450 Consum er Price Index 100 Real earnin gs A 13800 105 B 15000 112 C 16500 123 D 18000 132 E 2. Find the value of B. / Bepaal die waarde van B. 141 13 135 63 130 03 142 13 131 43 1 points Question 8 1. The information below contains the annual earnings (in rands) of a company over a five year period from 2010 to 2015, as well as the Consumer Price Index for the same period: / Die onderstaande inligting is die jaarlikse verdienste (in rand) van 'n maatskappy oor 'n vyfjaar periode van 2010 tot 2015, sowel as die Verbruikersprysindeks vir dieselfde periode: Yea r 201 0 201 1 201 2 201 3 201 4 Annual earning s 13450 Consum er Price Index 100 Real earnin gs A 13800 105 B 15000 112 C 16500 123 D 18000 132 E 2. Find the value of A. / Bepaal die waarde van A. 135 00 142 00 134 50 141 00 132 50 1 points Question 9 1. Consider the following quantity index series: Shift the base year of this index series to 2007. Year 2005 = 100 200 5 200 6 200 7 200 8 100 106 116 121 2. The new index for 2006 is: 110 105. 31 91.3 8 88.6 8 1 points Question 10 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks reeks: 200 7 200 8 200 9 201 0 201 1 201 2 201 3 2008=10 0 94 2012=1 00 2010=1 00 A 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of F. / Bepaal die waarde van F. 13 0 12 0 11 5 12 5 12 8 1 points Question 11 1. The data in the table represents the revenue (in R 10 000 ) of a well - known supermarket for each over a two - year period: The growth rate in revenue for the third term of 2007, using the method current period on the preceding period is: 2006 R 1432 (II) R 1500 (III) R 1620 (IV) 2007 (I) R 1648 (I) R 1424 (II) R 1610 (III) R 1693 (IV) R 1733 -5.16% -0.49% 1.05% 5.16% 105.16% 1 points Question 12 1. Consider the following number of guests per year for each of five consecutive years: Year Occupancy 2004 2005 2006 2007 2008 1259 1274 1267 1260 1281 2. The new index for 2007 is: 0.43 % 0.34 % 0.43 % 1.02 % 1.75 % Question 13 1. Consider the following two price index series: Year 1995 = 100 200 2 200 3 200 4 200 5 80 Year 2005 = 100 200 5 115 86 90 94 2. 200 6 200 7 200 8 121 130 133 3. Splice the two index series to form one continuous series with 1995 as the base year. The index for 2006 is: 95.6 5 94 98.9 0 102. 28 1 points Question 14 1. After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005. / Na sekere oorwegings is daar besluit om die basis jaar van die brandstof indeks te verander van 2000 na 2005. The old index numbers were: / Die ou indeks getalle was: (2000=100) 1998 1999 2000 2001 2002 2003 2004 2005 2006 92 98 100 104 110 118 120 125 115 (2005=100 ) A B C D E F G H I 2. Find the value of G. / Bepaal die waarde van G. 137. 5 96 145. 65 116. 5 132. 5 1 points Question 15 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks reeks: 200 7 200 8 200 9 201 0 201 1 201 2 201 3 2008=10 0 94 2012=1 00 2010=1 00 A 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of B. / Bepaal die waarde van B. 88.9 0 90.9 1 86.9 6 92.9 0 94.9 1 Hi You are now working on P9 and T9 and I owe you 70 dollars for Friday 22 April Kindly find P10 and T10 - due 25 April and offering 30 dollars Kindly find ASSIGNMENT 2 - My offer for this is 70 dollars and due 6 May 2016 I then owe you 170 dollars (and you need to remind me if I forget) I need ASS 2 by 6 May 2016 and step-by-step please. Kindly send me a message with your direct link when you get it. Question 1 1. After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005. The old index numbers were: (2000=100) 1998 1999 2000 2001 2002 2003 2004 2005 2006 (2005=100) 92 98 100 104 110 118 120 125 115 A B C D E F G H I 2. Find the value of I. 13 4 11 3 92 66 1 points Question 2 1. Supposed you have to withdraw R15 000 in one year time from when you had access to the fund, and R20 000 in two years. How much do you need in your account now at 9% p.a compounded monthly? You decide to invest the difference that was left from your fund after opening the account in a mutual fund that offer a variable rate as follow: 11% p.a compounded quarterly for the first three years, 9% p.a compounded monthly for the next two years 10% effective thereafter. What is the balance in the account after 9 years? 1 000 456.7 893 45 000.456 7 70 000.567 9 69 313.193 2 1 points Question 3 1. Z is a standard normal random variable. Find P(Z > 0.17) = ...........? 0.23 9 0.56 75 0.64 10 0.87 2 1 points Question 4 1. Games Furnishers has maintained records on its three most popular items for three consecutive years. The data are given in the table below. The prices are the unit price in rand and the quantities are in number of units sold: Household Items Price Quantity 2006 2007 2008 2006 2007 2008 Sofas 2800 3000 3100 50 55 65 Television sets 2580 2550 2480 100 120 150 Refrigerators 2450 2440 2440 10 20 40 2. The simple composite quantity index for 2007, with 2006 as the base year is: 82.0 5 112. 88 121. 88 130. 77 1 points Question 5 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. Find the value of E. 880 0 820 0 780 0 560 0 1 points Question 6 1. Among diabetics, the fasting blood glucose level X (measured in mg/100ml) may be assumed to be normally distributed with mean 106 and standard deviation 8. What percentages of diabetics have levels between 90 and 120? 98.35 % 82.62 % 9.15 % 93.71 % 1 points Question 7 1. A certain type of new business succeeds 70% of the time. Suppose that four such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). The probability that all four businesses succeed is? 0.24 01 0.30 18 0.14 28 0.42 07 1 points Question 8 1. Consider the following two price index series: Year 1995 = 100 2002 2003 2004 2005 80 86 90 94 Year 2005 = 100 2005 2006 2007 2008 115 121 130 133 2. 3. Splice the two index series to form one continuous series with 1995 as the base year. The index for 2004 is: 80 90 115 122. 34 1 points Question 9 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. Find the value of A. 11 0 16 0 12 0 14 0 1 points Question 10 1. A Statistics instructor has observed that the number of typographical errors in new editions of textbooks varies considerably from book to book. After some analysis, he concludes that an average there is 1.5 errors per 100 pages. The instructor selects randomly 100 pages of a new book. What is the probability that there are no typographical errors? 0.21 31 0.22 31 0.34 13 0.57 32 1 points Question 11 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. Find Laspeyres price index for 2005 with 2002 as base. 106.1 2 112.5 E) 94.8 D) 87.5 1 points Question 12 1. A Statistics instructor has observed that the number of typographical errors in new editions of textbooks varies considerably from book to book. After some analysis, he concludes that an average there is 1.5 errors per 100 pages. What distribution best describe this experiment? Binomial Normal Poisson Exponent ial 1 points Question 13 1. You have being given access to fund of R70 000 from a relative as a reward to getting into university. The fund was opened four years ago with an opening balance of R50 000 A what annual rate of simple interest was the fund opened by your relative? 12 % 10 % 0.1 6% 1 points Question 14 1. In its standardized form, the normal distribution has a mean of 0 and a standard deviation of 1. has a mean of 1 and a variance of 0. has an area equal to 0.5. cannot be used to approximate discrete probability distributions. 1 points Question 15 1. Z is a standard normal random variable. Find P(Z < 1.96) = ..............? 0.97 50 0.6 1 0.19 6 1 points Question 16 1. Suppose that X is normally distributed with the mean 280 and the standard deviation of 20. The probability P(241 < X < 301.60) is: 0.1145 0.2266 0.7734 None of the above 1 points Question 17 1. If X has a binomial distribution with n = 4 and p = 0.3, then P(X > 1) = ..........? 0.34 83 0.45 68 0.46 23 0.41 53 1 points Question 18 1. Suppose the mass of students, in kg is N(68; 9) distributed. Find the probability of students with the mass less than 63 kg. 0.28 77 0.71 23 0.95 25 0.04 75 1 points Question 19 1. After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005. The old index numbers were: (2000=100) 92 98 100 104 110 118 120 125 115 1998 1999 2000 2001 2002 2003 2004 2005 2006 (2005=100) A B C D E F G H I 2. Find the value of E. 110. 25 108. 2 88 72 1 points Question 20 1. Theoretically, the mean, median, and the mode are all equal for a normal distribution. True False 1 points Question 21 1. Consider the following two piece index series: 2008=100 2007 2008 2009 2010 2011 2012 94 100 115 110 2012=100 80 90 100 2010=10 0 A B C D E F 2013 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. Find the value of B. 88.9 0 90.9 1 86.9 6 92.9 0 1 points Question 22 1. Let X be a random variable with the standard normal distribution. Find: P(X < 2.57) 0.99 38 0.99 65 0.00 51 0.99 49 1 points Question 23 1. Given 0.48 0.49 0.58 0.55 Find k 1 points Question 24 1. The Table below was taken from a census and represents the number of person living in the household and the derived probability distribution. Number of Persons Number of Households (Millions) P(x) 1 2 3 4 5 6 7 or more 31.1 38.6 18.8 16.2 7.2 2.7 1.4 .268 .333 .162 .140 .062 .023 .012 2. What is the variance of X? 1.95 4 2.51 2 1.39 8 5.30 1 1 points Question 25 1. If n = 8 and p = 0.60, then the mean of the binomial distribution is? 8.0 7 6.4 5 4.8 4.2 9 1 points Question 26 1. Given . Find k 2.1 2 1.2 9 1.82 1.1 8 1 points Question 27 1. Let X be a random variable with the standard normal distribution. Find: P( 0.53 < X < 2.03) 0.70 19 0.978 8 0.276 9 0.298 1 0.195 6 1 points Question 28 1. A manufacturer of power tools claims that the mean amount of time required to assemble their top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a random sample of 64 purchasers of this table saw is taken. The probability that the sample mean will be between 77 and 89 minutes is ________. 0.56 48 0.68 98 0.78 24 0.26 54 1 points Question 29 1. The table below represents the annual salary of an employee at a big local retail company from 2011 to 2015. The table also contains the Consumer Price Index for the same period. Year 2011 2012 2013 2014 2015 Annual Earnings 720000 720000 720000 720000 720000 CPI 100 116 99 110 130 2. What is the real earning of this employee in 2015 relative to the base period? 720 000 2 160 000 553 846.15 60 000 1 points Question 30 1. A carrier of tuberculosis has a 10% chance of passing the disease on to anyone with whom he comes into close contact who has had no prior exposure. During the course of a day, he comes into contact with 10 such individuals. Calculate the probability that 6 of these individuals will contract tuberculosis, we determine? 0.1 0.62 51 0.99 99 0.00 01 1 points Question 31 1. The lifetimes of a certain brand of light bulbs are known to be normally distributed with a mean of 1600 hours and a standard deviation of 400 hours. A random sample of 64 of these light bulbs is taken. The probability is 0.10 that the sample mean lifetime differs from the population mean lifetime by at least how many hours? 6 6 6 4 6 8 6 2 1 points Question 32 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. Find the unweighted price index for 2005 with 2002 as base. 95.1 5 98.9 87.5 100 1 points Question 33 1. Suppose the mass of gorillas, in kg, are N(160;400) distributed. Find the percentage of gorillas with mass between 120 and 130 kg. 6.55 % 9.44 % 5.92 % 4.40 % 1 points Question 34 1. Find the value of k if the random variable Z is from a standard normal population such that P( Z < k) = 0.0094. -2.5 1.2 4 0.8 1 2.3 5 1 points Question 35 1. The data in the table below represents the revenue (in R 10 000 ) of a well - known supermarket for each over a two - year period: The growth rate in revenue for the second term of 2007, using the method current period on the same period of the preceding year is: 2006 R 1432 (II) R 1500 (III) R 1620 (IV) 2007 (I) R 1648 (I) R 1424 (II) R 1610 (III) R 1693 (IV) R 1733 107.33% 7.33% 6.29% 0.073% 1 points Question 36 1. Z is a standard normal random variable. Find P( 0.66 < Z < 0.11) = ............? 0.20 13 0.12 52 0.02 34 0.20 16 1 points Question 37 1. A manufacturing company regularly conducts quality control checks at specified periods on all products manufactured by the company. A new order for 2000 washing machine is due to be delivered to a large franchise hardware store. Historically, the manufacturing record has a failure rate of 15% and the sample to be selected consists of four randomly selected light bulbs that are drawn from the delivery consignment. What is the variance? 0.5 1 0.6 5 0.1 2 0.7 1 1 points Question 38 1. If X has a binomial distribution with n = 5 and p = 0.1, then P(X = 2) = ...........? 0.05 82 0.07 29 0.09 82 0.09 89 1 points Question 39 1. A company that sells annuities bases the annual payout on the probability distribution of the ages (in years) of the participants in the plan. The probability distribution of ages of the participants in the plan is approximately a normal distribution with mean and variance . Let X be random participant age, if P(X > 60) = 20.33% and P(30 < X < 60) = 0.7492 What is the mean age of participants? 5 0 7 0 3 0 5 5 1 points Question 40 1. Consider the following two price index series: Table 1: 2003 86 1995 = 100 2004 90 2005 94 2. Table 2: 2005 115 1990 = 100 2006 121 2007 130 2008 133 3. Splice the two price index series to form one continuous series with 2004 as the base year. What is the index for the year 2008: 115. 65 248 100. 81 141. 49 1 points Question 41 1. A manufacturing company regularly conducts quality control checks at specified periods on all products manufactured by the company. A new order for 2000 washing machine is due to be delivered to a large franchise hardware store. Historically, the manufacturing record has a failure rate of 15% and the sample to be selected consists of four randomly selected light bulbs that are drawn from the delivery consignment. What is the probability that at least light bulbs will be defective? 0.011 98 0.101 97 0.368 48 0.098 22 1 points Question 42 1. A new variety of corn is being developed at an agricultural experimental station. Corn usually has a 90% germination rate. To evaluate this variety, 12 seeds are planted in soil of identical composition and given the same care. What is the probability of a failure? 90 % 0.1 10 8 0.9 1 points Question 43 1. The lifetimes of a certain brand of light bulbs are known to be normally distributed with a mean of 1600 hours and a standard deviation of 400 hours. A random sample of 64 of these light bulbs is taken. The probability is 0.1492 that the sample mean lifetime is more than how many hours? 165 2 150 0 172 4 158 0 1 points Question 44 1. Suppose the mass of gorillas, in kg, are N(160;400) distributed. Find the percentage of gorillas with mass more than 200 kg. / 12.2 % 15.38 % 2.287 % 12.22 % 1 points Question 45 1. The standard deviation of the sampling distribution of a sample proportion is, where p is the population proportion. True False 1 points Question 46 1. The information below contains the annual earnings (in rands) of a company over a five year period from 2010 to 2015, as well as the Consumer Price Index for the same period: Year Annual earnings Real earnings 13450 Consumer Price Index 100 201 0 2011 13800 105 B 2012 15000 112 C 2013 16500 123 D 2014 18000 132 E A 2. Find the value of C. 133 93 142 33 136 36 134 63 1 points Question 47 1. A certain type of new business succeeds 70% of the time. Suppose that four such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). The probability that all four businesses fail is? 0.01 05 0.00 97 0.00 81 0.10 20 1 points Question 48 1. Heights of males are normally distributed with the mean 170 cm and the standard deviation of 8 cm. What is the probability that males are between 164 cm and 176 cm tall? 0.75 00 0.22 66 0.77 34 0.54 68 1 points Question 49 1. By using the data in the table below, calculate for 2005 with 2002 as base year: Product 2002 p0 q0 2005 p1 q1 I II 60 50 50 20 70 40 40 40 III 30 30 30 40 Total A B p1q0 p0q0 p1q1 p0q1 C D E F 2. The quantity of product II increase / decrease from 2002 to 2005: increase decrease not A) or B) 1 points Question 50 1. The bank proposes you rather deposit the money into a saving account which offer 10% interest per annum, compounded annually. How will you have in this account after 5 years? 112 735.7 105 000 213 874. 3467 150 970.38 P10 - step by step need 26 April offering 30 dollar tip. Please see ASS 2 due 6 May offering 70 dollars. Owe you 70 dollars (work done up to T9 and P9) + 30 dollars (P10 ans T10) as well as 70 dollars tip for (Ass 2) = 170 dollars outstanding Practical 10 1. After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005. / Na sekere oorwegings is daar besluit om die basis jaar van die brandstof indeks te verander van 2000 na 2005. The old index numbers were: / Die ou indeks getalle was: (2000=100) (2005=100) 1998 90 A 1999 96 B 2000 100 C 2001 105 D 2002 110 E 2003 120 F 2004 110 G 2005 80 H 2006 140 I Find the values of A to I in the table. / Bepaal die waardes van A tot I in die tabel. 2. Consider the following two price index series: 1996 = 100 2000 110 2001 112 2002 120 2003 128 2004 130 2005 = 100 2004 93 2005 100 2006 104 2007 109 2008 115 Splice the two price index series to form one continuous series with: 2.1 2.2 3. 2004 as the base year. 2006 as the base year. The table below provides the GDP (in R 1 000 000) in real terms for each trimester during 2008 and 2009. I 2008 66 593 II 67 003 III I 65 232 II 66 694 III 2009 66 838 68 381 Determine the growth rate in the GDP during the first trimester of 2009 by using the method of current period on the: 3.1 Preceding period. 3.2 Preceding period at annual rates. 3.3 Same period of the preceding year. P 10 quiz - answers only Question 1 1. After completing question 1 in practical 10, what is the value of B? 110 125. 5 120 140 1 points Question 2 1. After completing question 1 in practical 10, what is the value of D? 125. 5 118. 5 131. 25 129. 25 1 points Question 3 1. After completing question 1 in practical 10, what is the value of I? 189. 25 185 191. 25 175 Question 4 1. After completing question 2.1 in practical 10, what is the value for 2001? 86.1 5 90.0 3 99.0 4 82.0 1 Question 5 1. After completing question 2.1in practical 10, what is the value for 2006? 118. 43 111. 83 115. 5 108. 85 1 points Question 6 1. After completing question 2.2in practical 10, what is the value for 2002? 88.5 5 80.2 5 82.5 5 86.2 5 1 points Question 7 1. After completing question 2.2 in practical 10, what is the value for 2008? 108. 83 112. 44 110. 58 113. 45 1 points Question 8 1. What is the answer of question 3.1 in practical 10? - 2.4% 2.8% - 3.6% 3.2% Question 9 1. What is the answer of question 3.2 in practical 10? - 6.24% - 7.04% 6.84% 9.65% Question 10 1. What is the answer of question 3.3 in practical 10? 4.04 5.04 - 2.64% 2.04% T10 - step by step need 26 April Question 1 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks reeks: 200 2008=10 0 94 2012=1 00 2010=1 00 A 7 200 8 200 9 201 0 201 1 201 2 201 3 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of A. / Bepaal die waarde van A. 80.5 5 85.4 5 90.4 5 91.5 5 75.6 5 Question 2 1. The information below contains the annual earnings (in rands) of a company over a five year period from 2010 to 2015, as well as the Consumer Price Index for the same period: / Die onderstaande inligting is die jaarlikse verdienste (in rand) van 'n maatskappy oor 'n vyfjaar periode van 2010 tot 2015, sowel as die Verbruikersprysindeks vir dieselfde periode: Yea r 201 0 201 1 201 2 201 3 201 4 Annual earning s 13450 Consum er Price Index 100 Real earnin gs A 13800 105 B 15000 112 C 16500 123 D 18000 132 E 2. Find the value of E. / Bepaal die waarde van E. 132 63 136 36 139 63 146 33 136 63 1 points Question 3 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks reeks: 200 7 200 8 200 9 201 0 201 1 201 2 201 3 2008=10 0 94 2012=1 00 2010=1 00 A 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of G. / Bepaal die waarde van G. 143. 75 140. 75 142. 25 145. 50 150. 75 1 points Question 4 1. Consider the following quantity index series: Shift the base year of this index series to 2007. Year 2005 = 100 200 5 200 6 200 7 200 8 100 106 116 121 2. The new index for 2005 is: 100 102. 36 96.3 5 86.2 1 1 points Question 5 1. Consider the following two price index series: Year 1995 = 100 200 2 200 3 200 4 80 86 90 200 5 94 Year 2005 = 100 200 5 200 6 200 7 200 8 115 2. 121 130 133 3. Splice the two index series to form one continuous series with 1995 as the base year. The index for 2008 is: 108. 71 110. 28 112. 58 106. 33 1 points Question 6 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks eeks: 200 7 200 8 200 9 201 0 201 1 201 2 201 3 2008=10 0 94 2012=1 00 2010=1 00 A 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of C. / Bepaal die waarde van C. 100 106. 45 104. 55 108. 45 98.5 5 1 points Question 7 1. The information below contains the annual earnings (in rands) of a company over a five year period from 2010 to 2015, as well as the Consumer Price Index for the same period: / Die onderstaande inligting is die jaarlikse verdienste (in rand) van 'n maatskappy oor 'n vyfjaar periode van 2010 tot 2015, sowel as die Verbruikersprysindeks vir dieselfde periode: Yea r 201 0 201 1 201 2 201 3 201 4 Annual earning s 13450 Consum er Price Index 100 Real earnin gs A 13800 105 B 15000 112 C 16500 123 D 18000 132 E 2. Find the value of B. / Bepaal die waarde van B. 141 13 135 63 130 03 142 13 131 43 1 points Question 8 1. The information below contains the annual earnings (in rands) of a company over a five year period from 2010 to 2015, as well as the Consumer Price Index for the same period: / Die onderstaande inligting is die jaarlikse verdienste (in rand) van 'n maatskappy oor 'n vyfjaar periode van 2010 tot 2015, sowel as die Verbruikersprysindeks vir dieselfde periode: Yea r 201 0 201 1 201 2 201 3 201 4 Annual earning s 13450 Consum er Price Index 100 Real earnin gs A 13800 105 B 15000 112 C 16500 123 D 18000 132 E 2. Find the value of A. / Bepaal die waarde van A. 135 00 142 00 134 50 141 00 132 50 1 points Question 9 1. Consider the following quantity index series: Shift the base year of this index series to 2007. Year 2005 = 100 200 5 200 6 200 7 200 8 100 106 116 121 2. The new index for 2006 is: 110 105. 31 91.3 8 88.6 8 1 points Question 10 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks reeks: 200 7 200 8 200 9 201 0 201 1 201 2 201 3 2008=10 0 94 2012=1 00 2010=1 00 A 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of F. / Bepaal die waarde van F. 13 0 12 0 11 5 12 5 12 8 1 points Question 11 1. The data in the table represents the revenue (in R 10 000 ) of a well - known supermarket for each over a two - year period: The growth rate in revenue for the third term of 2007, using the method current period on the preceding period is: 2006 R 1432 (II) R 1500 (III) R 1620 (IV) 2007 (I) R 1648 (I) R 1424 (II) R 1610 (III) R 1693 (IV) R 1733 -5.16% -0.49% 1.05% 5.16% 105.16% 1 points Question 12 1. Consider the following number of guests per year for each of five consecutive years: Year Occupancy 2004 2005 2006 2007 2008 1259 1274 1267 1260 1281 2. The new index for 2007 is: 0.43 % 0.34 % 0.43 % 1.02 % 1.75 % Question 13 1. Consider the following two price index series: Year 1995 = 100 200 2 200 3 200 4 200 5 80 Year 2005 = 100 200 5 115 86 90 94 2. 200 6 200 7 200 8 121 130 133 3. Splice the two index series to form one continuous series with 1995 as the base year. The index for 2006 is: 95.6 5 94 98.9 0 102. 28 1 points Question 14 1. After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005. / Na sekere oorwegings is daar besluit om die basis jaar van die brandstof indeks te verander van 2000 na 2005. The old index numbers were: / Die ou indeks getalle was: (2000=100) 1998 1999 2000 2001 2002 2003 2004 2005 2006 92 98 100 104 110 118 120 125 115 (2005=100 ) A B C D E F G H I 2. Find the value of G. / Bepaal die waarde van G. 137. 5 96 145. 65 116. 5 132. 5 1 points Question 15 1. Consider the following two piece index series: / Beskou die volgende twee prysindeks reeks: 200 7 200 8 200 9 201 0 201 1 201 2 201 3 2008=10 0 94 2012=1 00 2010=1 00 A 100 B 115 C 110 80 D 90 E 100 F 115 G 2. Splice the two price index series to form one continuous series with 2010 as the base year. / Voeg die twee prysindeks reekse saam om een aaneenlopende reeks te vorm met 2010 as basis jaar. Find the value of B. / Bepaal die waarde van B. 88.9 0 90.9 1 86.9 6 92.9 0 94.9 1