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The following table shows a sample of room rates for a 100 room resort hotel in Nova Scotia for the time period Jan. 1 to Dec. 2003. Note that 1/1-7/3 means January 1 to March 7 , 2003. Be sure to scroll down to see the bottom of the rate table. 2003 1/1 8/3 31/3 1/6 1/7 2/9 9/10 Room Rates 2/12 21/12 7/3 - 30/3 - 31/5 -30/6 -1/9 -8/10 -1/12 Oceanfront -20/12 - 31/12 1 double bed 75 125 85 100 150 95 85 75 125 B Oceanfront 2 double beds 85 135 95 110 160 105 95 85 135 Oceanfront Effic 2 double beds 105 155 115 130 180 125 115 105 155 D 2 room suite 3 double beds 120 175 130 150 200 140 130 120 175 E Oceanfront Suite 3 double beds 140 200 150 175 225 165 150 140 200 Extra Person IMPORTANT: Please omit the dollar signs in all answers. Note: Suites have 3 beds. a. For the 9 time periods, what was the mean extra person rate? dollar? HINT: Use whole numbers. b. (i) This hotel has 20 type A rooms, 15 type B, 30 type C, 25 type D and the remainder are type E. If the hotel was fully booked (with no extra people in any room) on Friday, Sept. 12th, 2003 then what was the mean revenue per room rounded to the nearest (ii) What was the standard deviation of the room rates on Sept. 12 for this sample of the guest population? (Use 2 decimal places rounded ) September 20? c. (i) On Sunday, September 20, 2003 during the Eastern Conference Quarterfinals of the Stanley Cup Playoff (Ottawa beat the Islanders 3-0) the only rooms ocupied were 20 Type A, 15 Type B, and 7 Type E. What was the average revenue "per bed" on (Round to the nearest dollar. ) (ii)What was the standard deviation of the the price per bed on September 20? (Note: use 2 decimal place rounded here.)A random sample of 12 tests for two different drugs revealed the following times (in minutes) until the effects of the drug were neutralized. Drug A 254 213 243 223 231 223 240 243 247 235 246 218 Drug B 217 284 299 276 260 273 285 270 283 261 289 268 a. Calculate the mean and standard deviation for each of the two drugs b. Based on the sample means calculated in part a, which drug appears to be effective longer? c. Based on the sample standard deviations calculated in part a, which drug appears to have the greater variability in effect time? d. Calculate the sample coefficient of variation for the two drugs. Based on the coefficient of variation, which drug has the greater variability in its time until the effect is neutralized?The Journal of Travel conducted research by taking two large groups (viewed as populations) to determine a) The mean cost of a one-day trip for Group A is $ | and for Group B $. whether there are differences in the characteristics of the two groups of holiday travellers: [Group A] travellers that are less than 50 years old. The standard deviation of the cost of a one-day trip for Group A is (rounded to nearest cent) $ and for [Group B] travellers that are 50 or more years old. Group B $. One item of interest was the amount spent for a one-day trip. The results are shown below. b) For which set of travelers would the median be a better measure of central tendency than the mean? Cost of one-day trip Group A: Under 50 years old (n=480) Group B: Over 50 years old (n=325) $0 up to 50 6% 1% O A. Under 50 Group A 50 up to 100 13 5 100 up to 200 21 9 O B. All travellers 200 up to 300 29 13 O C. Neither group 300 up to 400 11 20 O D. Over 50 Group B 400 up to 500 12 17 500 up to 750 2 14 c) For Group A, 384 of those surveyed would have spent less than 750 up to 1000 3 10 O A. $750 1000 up to 2000 - N AN 2000 up to 3000 O B. $500 O C. $300 (Base your answer on results obtained by using your calculator.) O D. $400 d) The coefficient of variation for Group A is and for Group B is Group B is relatively more variable than Group A O True O FalseThe following data refers to the OAC average grades of students being accepted into first year of several Ontario universities. Grade Distribution of New 1" Year Students University 60 - 70 70 - 75 75 - 80 80 - 85 85-90 290 Brock 5.8 22.1 26.7 26.0 13.1 6.3 Guelph 0 0.2 27.6 37.9 21.4 12.9 McMaster 0.1 10.5 24.2 32.4 19.7 13.1 Queen's 0 0.2 3.2 21.9 36.8 37.9 Ryerson 0.5 23.0 31.0 29.3 12.4 3.8 Toronto 1.2 8.9 26.0 36.6 27.3 REMARKS: This was ACTUAL DATA OF THE ONTARIO University Population in 2010! The line with number ranges are classes, e.g., 60-70 so midpoints MUST be used. Use 95 for 902! The numbers in the tables are percentages that add up to 100 in each row. a) Based on the above data, is the average entering grade higher for Brock or Ryerson, or is the average about the same? Which of the following is the best answer? A. The entering grades at Brock are at least 1% higher than the entering grades at Ryerson. O B. The entering grades at Ryerson are at least 1% higher than the entering grades at Brock. O C. There is not sufficient information to make a decision. O D. The entering grades at Brock and Ryerson are within 1/2 of 1% of each other (b) Now consider Toronto compared to Queen's->which of the following is the best answer? O A. The entering grades at Queens are at least 1% higher than the entering grades at Univof Toronto. O B. The entering grades at Univof Toronto are at least 1% higher than the entering grades at Queens. O C. The entering grades at Queens and Univ. of Toronto are within 1/2 of 1% of each other O D. There is not sufficient information to make a decision. (c) (i) The sample standard deviation of the entering grades at Ryerson is Round to 2 decimal places. (ii) The sample standard deviation of the entering grades at Brock is Round to 2 decimal places. Use ratios of numbers with 2 decimal places to compute & show answers to 1 decimal place for (iii) and (iv) using the ROUNDING RULE : express CV with 1 decimal point if CV10% . Recall: Use the Sample (not population) std. dev. (ili) The coefficient of variation of Brock is (iv) The coefficient of variation of Ryerson is (v) The variability of the entering grades at Brock are significantly higher than those at Ryerson O True FalseThe data set below shows the number of alcoholic drinks that students at a certain university reported they had consumed in the past month. Complete parts a through c. 14 12 18 16 16 16 14 15 14 19 Ch a. Assume that the data set is a sample. Compute the range, variance, standard deviation, and interquartile range for the data set. The range for the data set is El. (Type an integer or a decimal.) The sample variance, 52, is '1 (Round to two decimal places as needed.) The sample standard deviation, 5, is '1. (Round to two decimal places as needed.) The interquartile range for the data set is E. (Type an integer or a decimal.) b. Assume the data set is a population. Calculate the range, variance. standard deviation, and interquartile range for the data set. The range is E. (Type an integer or a decimal.) The population variance, 62. is D. (Round to two decimal places as needed.) The population standard deviation, 6, is D. (Round to two decimal places as needed.) The interquartile range is I]. (Type an integer or a decimal.) The sample standard deviation is always larger than the population standard deviation: True or False O True O False The table below shows the number of one company's stores located in each of 50 regions. Complete parts (a) through (0) below, 66 22 80 53 562 85 67 17 10 307 I; 129 24 28 190 120 67 56 75 82 33 99 119 158 80 50 96 27 31 42 39 155 40 345 135 5 202 56 65 234 25 65 23 88 409 43 16 142 111 35 100 1% a. Compute the mean. variance. and standard deviation for this population, The population mean is u = , (Type an integer or a decimal. Round to one decimal place as needed.) The population variance is 62 = . (Round to the nearest integer as needed.) NOTE: To calculate the variance, do not round standard deviation value, This is to avoid the rounding anon The population standard deviation is o = . (Type an integer or a decimal. Round to one decimal place as needed.) b. What percentage of the 50 regions have stores within 1 1. 12. or t 3 standard deviations of the mean? The percentage within 11 standard deviation of the mean is %. (Type an integer or a decimal. Do not round.) The percentage within 1 2 standard deviations of the mean is %. (Type an integer or a decimal. Do not round.) The percentage within 1 3 standard deviations of the mean is %. (Type an integer or a decimal. Do not round.) c. Compare your ndings in part (b) with what would be expected on the basis of the empirical rule. Are you surprised at the results in part (b)? O A. Yes, because a much higher percentage of regions are within :1 standard deviation of the mean than would be expected on the basis of the empirical mle. O B. Yes, because all the data are within :2 standard deviations of the mean. 0 c. Yes, because a much lower percentage of regions are within 11 standard deviation of the mean than would be expected on the basis of the empirical mle. O D. No. because the percentage values are close to those predicted by the empirical mle