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statistics

Questions and Answers of Statistics

Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. In each case, draw a
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. In each case, draw a
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. In each case, draw a
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. In each case, draw a
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of l.00°C. A thermometer is randomly selected and tested. In each case, draw a
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of l.00°C. A thermometer is randomly selected and tested. In each case, draw a
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of l.00°C. A thermometer is randomly selected and tested. In each case, draw a
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of l.00°C. A thermometer is randomly selected and tested. In each case, draw a
Assume that the heights of female students are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in. (based on data from a survey of college
Based on the sample results in Data Set 18 of Appendix B, assume that human body temperatures are normally distributed with a mean of 36.4°C and a standard deviation of 0.62°C. If we define a fever
One classic use of the normal distribution is inspired by a letter to Dear Abby in which a wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the Navy.
Lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If we stipulate that a baby is premature if born at least three weeks early, what
Based on daily summaries from a Calgary observatory (for January to November 2000), the mean daily counting rates for cosmic rays are approximately normally distributed, with a mean equal to 3465.5
According to the International Mass Retail Association, girls aged 13 to 17 spend an average of $31.20 on shopping trips in a month. Assume that the amounts are normally distributed with a standard
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Mensa is an organization for people with high IQs, and eligibility requires an IQ above 131.5. a. If someone is
An IBM subcontractor was hired to make ceramic substrates that are used to distribute power and signals to and from computer silicon chips. Specifications require resistance between 1.500 ohms and
The average household expenditure in Canada on postsecondary books is $53.00, with a standard deviation of $18.61 (based on a study by Statistics Canada on family expenditures). If a household is
Measurements of human skulls from different epochs are analyzed to determine whether they change over time. The maximum breadth is measured for skulls from Egyptian males who lived around 3300 BCE.
According to a national health survey, the serum cholesterol levels of men aged 18 to 24 are normally distributed with a mean and standard deviation (in mg/100mL) of 178.1 and 40.7, respectively. One
Assume that the heights of female students are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in. (based on data from a survey of college
Some vending machines are designed so that their owners can adjust the weights of the quarters that are accepted. If many counterfeit coins are found, adjustments are made to reject more coins, with
Refer to the indicated data set in Appendix B.a. Construct a histogram to determine whether the data set has a normal distribution.b. Find the sample mean and sample standard deviation s.c. Use the
Refer to the indicated data set in Appendix B.a. Construct a histogram to determine whether the data set has a normal distribution.b. Find the sample mean and sample standard deviation s.c. Use the
Refer to the indicated data set in Appendix B.a. Construct a histogram to determine whether the data set has a normal distribution.b. Find the sample mean and sample standard deviation s.c. Use the
When you constructed a histogram for total weights of discarded garbage, for Question 22, was the distribution exactly normal? If not, do you believe your probability estimate in Question 22 was
Assume that the heights of female students are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in. (based on data from a survey of college
Assume that the heights of female students are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in. (based on data from a survey of college
Assume that the heights of female students are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in. (based on data from a survey of college
Assume that the heights of female students are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in. (based on data from a survey of college
Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years (based on data from "Getting Things Fixed," Consumer Reports). Find the
Replacement times for CD players are normally distributed with a mean of 7.1 years and a standard deviation of 1.4 years (based on data from "Getting Things Fixed," Consumer Reports). Find the
Assume that the heights of soldiers in the Canadian Armed Forces are normally distributed with a mean height of 70.3 in. and a standard deviation of 3.4 in. Find the probability of one soldier who is
Assume that female college students have heights that are normally distributed with a mean of 64.2 in. and a standard deviation of 2.6 in. Find the height for the given percentile. P85
According to the Opinion Research Corporation, men spend an average of 11.4 min in the shower. Assume that the times are normally distributed with a standard deviation of 1.8 min. Find the values of
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If we define a genius to be someone in the top 1% of IQ scores, find the score separating geniuses from the rest
A subcontractor manufactures ceramic substrates for IBM. These devices have resistances that are normally distributed with a mean of 1.978 ohms and a standard deviation of 0.172 ohms. If the required
Scores obtained from the Law School Admission Test (LSAT) are normally distributed with a mean score of 550 and a standard deviation of 110. a. If a test score is selected at random, find the
Measurements of human skulls from different epochs are analyzed to determine whether they change over time. The maximum breadth is measured for skulls from Egyptian males who lived around 3300 BCE.
Based on daily summaries from a Calgary observatory over a period of ten months, the mean daily counting rates for cosmic rays are approximately normally distributed, with a mean equal to 3465.5 and
Quarters have weights that are normally distributed with a mean of 5.67 g and a standard deviation of 0.070 g. a. If a vending machine is adjusted to reject quarters weighing less than 5.53 g or more
The construction of a histogram for a data set reveals that the distribution is approximately normal and the box plot is constructed with these quartiles: Q1 = 62, Q2 = 70, Q3 = 78. Estimate the
An instructor informs her physics class that a test is very difficult, but the grades will be curved. Scores for the test are normally distributed with a mean of 25 and a standard deviation of 5. a.
According to data from the College Entrance Examination Board, the mean math SAT score is 475 and 17.0% of the scores are above 600. Find the standard deviation, and then use that result to find the
Assume that female college students have heights that are normally distributed with a mean of 64.2 in. and a standard deviation of 2.6 in. Find the height for the given percentile. P66
The College Entrance Examination Board writes that "for the SAT Achievement Tests, your score would fall in a range [between] about 30 points above [and| below your actual ability about two-thirds of
Assume that female college students have heights that are normally distributed with a mean of 64.2 in. and a standard deviation of 2.6 in. Find the height for the given percentile. P15
Assume that female college students have heights that are normally distributed with a mean of 64.2 in. and a standard deviation of 2.6 in. Find the height for the given percentile. P35
Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years (based on data from "Getting Things Fixed," Consumer Reports). a. Find the
Replacement times for CD players are normally distributed with a mean of 7.1 years and a standard deviation of 1.4 years (based on data from "Getting Things Fixed," Consumer Reports). Find P55, which
Weights of paper discarded by households each week are normally distributed with a mean of 4.3 kg and a standard deviation of 1.9 kg. Find P33, which is the weight that separates the bottom 33% from
Based on the sample results in Data Set 18 of Appendix B, assume that human body temperatures are normally distributed with a mean of 36.4°C and a standard deviation of 0.62°C. What two temperature
The durations of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If we stipulate that a baby is premature if the length of pregnancy is in the lowest
Assume that female students' heights are normally distributed with a mean given by µ = 64.2 in and a standard deviation given by σ = 2.6 in. a. If one female student is randomly selected, find the
The depth of a diamond signifies 100 times the ratio of its height to its diameter. For many high-priced diamonds, depth appears to be normally distributed, with a mean of 60.83 and a standard
The ages of U.S. commercial aircraft have a mean of 13.0 years and a standard deviation of 7.9 years (based on data from Aviation Data Services). If the Federal Aviation Administration randomly
Information provided by Bell Canada in Winnipeg showed that the average monthly bill for basic service was normally distributed with a mean of $15.30 and a standard deviation of $1.25. If 55 phone
The typical computer random-number generator yields numbers in a uniform distribution between 0 and 1 with a mean of 0.500 and a standard deviation of 0.289. If 45 random numbers are generated, find
A study was made of seat-belt use among children who were involved in car crashes that caused them to be hospitalized. It was found that children not wearing any restraints had hospital stays with a
As part of his review for a chemistry test, a student randomly selects (without replacement) 40 out of the 102 elements listed on the standard tables, and tries to guess their atomic numbers. Given
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on data from the College Board ATP). Randomly selected SAT verbal scores are obtained from the
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. If one pregnant female is randomly selected, find the probability that her length
A survey by Statistics Canada shows the average household expenditure on post-secondary textbooks is $53.00, with a standard deviation of $18.61. A similar poll randomly selects 150 households to
M&M plain candies have a mean weight of 0.9147 g and a standard deviation of 0.0369 g (based on Data Set 11 in Appendix B). The M&M candies used in Data Set 11 came from a package containing 1498
Assume that female students' heights are normally distributed with a mean given by µ = 64.2 in and a standard deviation given by σ = 2.6 in. a. If one female student is randomly selected, find the
Weights of players in offensive back positions (including quarterback) in the Canadian Football League are approximately normally distributed, with a mean of 197.5 lb and a standard deviation of 14.2
A population consists of these scores: 2, 3, 6, 8, 11, 18.a. Find µ and Ïƒ.b. List all samples of size n = 2 that are obtained without replacement.c. Find the population of all values of x by
An education researcher develops an index of academic interest and obtains scores for a randomly selected sample of 350 college students. The results are summarized in the accompanying box plot. If
The finite population correction factor can be ignored when sampling with replacement or when n ≤ 0.05N. When collecting a sample (without replacement) that is 5% of the population N, what do the
Assume that female students' heights are normally distributed with a mean given by µ = 64.2 in and a standard deviation given by σ = 2.6 in. a. If one female student is randomly selected, find the
Assume that female students' heights are normally distributed with a mean given by µ = 64.2 in and a standard deviation given by σ = 2.6 in. a. If 4 female students are randomly selected, find the
Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years (based on data from "Getting Things Fixed," Consumer Reports). Find the
Replacement times for CD players are normally distributed with a mean of 7.1 years and a standard deviation of 1.4 years (based on data from "Getting Things Fixed," Consumer Reports). Find the
The total weights of garbage that households discard weekly is approximately normally distributed, with a mean of 12.5 kg and a standard deviation of 5.7 kg (based on Data Set 1 in Appendix B).s a.
According to the International Mass Retail Association, girls aged 13 to 17 spend an average of $31.20 on shopping trips in a month. Assume that the amounts have a standard deviation of $8.27. If 85
For females aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. a. If a woman between the ages of 18 and 24 is randomly
Do the following: a. Find the indicated binomial probability using Table A-l in Appendix A. If np ≥ 5 and nq ≥ 5, also estimate the indicated probability by using the normal distribution as an
Do the following: a. Find the indicated binomial probability using Table A-l in Appendix A. If np ≥ 5 and nq ≥ 5, also estimate the indicated probability by using the normal distribution as an
Do the following: a. Find the indicated binomial probability using Table A-l in Appendix A. If np ≥ 5 and nq ≥ 5, also estimate the indicated probability by using the normal distribution as an
Estimate the probability of getting at least 55 girls in 100 births.
Estimate the probability of getting exactly 32 boys in 64 births.
Estimate the probability of passing a true/false test of 50 questions if 60% (or 30 correct responses) represents a passing grade and all responses are random guesses.
A multiple-choice test consists of 50 questions with possible answers of a, b, c, d, and e. Estimate the probability of getting at most 30% correct if all answers are random guesses.
Based on past records, there is a 3.62% chance that any particular CFL player is a punter or kicker. For 140 randomly selected players, estimate the probability that exactly 3 are punters or kickers.
The Angus Reid Group surveyed Ontario residents on what they think will be the most valuable type of education to have in the work force ten years from now. Thirty-five percent of the respondents
According to a consumer affairs representative from Mars (the candy company, not the planet), 10% of all M&M plain candies are blue. Data Set 11 in Appendix B shows that among 100 M&Ms chosen, 5 are
John Dukhia plans to place 200 bets of $1 each on the number 7 at roulette. On any one spin there is a probability of 1/38 that 7 will be the winning number. For John to end up with a profit, the
The Angus Reid Group surveyed Ontario residents on what they think will be the most valuable type of education to have in the work force ten years from now. Eighteen percent of the respondents chose
Air Borealis has been experiencing a 7% rate of no-shows on advance reservations. In a test project that requires passengers to confirm reservations, it is found that among 250 randomly selected
In a survey, the Canadian Automobile Association (CAA) found that 38% of respondents had bought used vehicles. A car dealership surveys 150 people at random and finds that 45 of them have bought used
A successful venture capital firm reports that it finances only 10% of the proposals that it receives. A check of 100 randomly selected proposals shows that 8 of them were financed by the firm.
A manufacturer of automobile headlights claims that 10% of a batch of these headlights are defective. A quality control inspector tests a random selection of 300 headlights in the batch. The number
Some couples have genetic characteristics configured so that one-quarter of all offspring have blue eyes. A study is conducted of 40 couples believed to have those characteristics, with the result
Sunnybrook Hospital is conducting a blood drive because its supply of group O blood is low, and it needs 177 donors of group O blood. If 400 volunteers donate blood, estimate the probability that the
Some companies monitor quality by using a method of acceptance sampling whereby an entire batch of items is rejected if, in a random sample, the number of defects is at least some predetermined
Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years (based on data from "Getting Things Fixed," Consumer Reports). Estimate the
Assume that a baseball player hits .350, so his probability of a hit is 0.350. (Ignore the complications caused by walks.) Also assume that his hitting attempts are independent of each other. a. Find
Find the difference between the answers obtained with and without use of the continuity correction in each of the following. What do you conclude from the results?a. Estimate the probability of
Air Borealis works only with advance reservations and experiences a 7% rate of no-shows. How many reservations could be accepted for an airliner with a capacity of 250 if there is at least a 0.95
Do the following: a. Find the indicated binomial probability using Table A-l in Appendix A. If np ≥ 5 and nq ≥ 5, also estimate the indicated probability by using the normal distribution as an
Suppose that a gas pipeline averages 1 blemish per 40 km. Find the following probabilities for a section of the pipeline. More than 60 km between successive blemishes if there is at least 40 km

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