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Question : Transportation officials tell us that 60% of drivers wear seat belts while driving : 2150467

**Answer the question True or False.**

**Solve the problem.**

153) Transportation officials tell us that 60% of drivers wear seat belts while driving. Find the probability that more than 562 drivers in a sample of 900 drivers wear seat belts.

A) 0.0630

B) 0.9370

C) 0.4

D) 0.6

155) Transportation officials tell us that 60% of drivers wear seat belts while driving. What is the probability that between 364 and 374 drivers in a sample of 650 drivers wear seat belts?

A) 0.8925

B) 0.1075

C) 0.0170

D) 0.0905

156) A certain baseball player hits a home run in 4% of his at-bats. Consider his at-bats as independent events. Find the probability that this baseball player hits more than 16 home runs in 650 at-bats?

A) 0.96

B) 0.9713

C) 0.04

D) 0.0287

157) A certain baseball player hits a home run in 4% of his at-bats. Consider his at-bats as independent events. Find the probability that this baseball player hits at most 16 home runs in 650 at-bats?

A) 0.96

B) 0.0287

C) 0.9713

D) 0.04

158) A study of college students stated that 25% of all college students have at least one tattoo. In a random sample of 80 college students, let x be the number of the students that have at least one tattoo. Find the approximate probability that more than 30 of the sampled students had at least one tattoo.

A) 0.9929

B) 0.0071

C) 0.0034

D) 0.4929

159) A study of college students stated that 25% of all college students have at least one tattoo. In a random sample of 80 college students, let x be the number of the students that have at least one tattoo. Find the approximate probability that more than 17 and less than 26 of the sampled students had at least one tattoo.

A) 0.2422

B) 0.1800

C) 0.4222

D) 0.6644

160) A certain baseball player hits a home run in 8% of his at-bats. Consider his at-bats as independent events. How many home runs do we expect the baseball player to hit in 850 at-bats?

A) 62.56

B) 858

C) 68

D) 8

**SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.**

162) It is against the law to discriminate against job applicants because of race, religion, sex, or age. Of the individuals who apply for an accountant's position in a large corporation, 43% are over 45 years old. If the company decides to choose 40 of a very large number of applicants for closer credential screening, claiming that the selection will be random and not age-biased, what is the associated with fewer than 18 of those chosen being over 45 years old? (Assume that the applicant pool is large enough so that *x*, the number in the sample over 45 years old, has a binomial probability distribution.)

163) A loan officer has 56 loan applications to screen during the next week. If past record indicates that she turns down 16% of the applicants, what is the associated with 51 or more of the 56 applications being rejected?

164) Suppose that 88% of the stocks listed on a particular exchange increased in value yesterday. Let *x* be the number of stocks that increased in value yesterday in a random of 72 stocks listed on the exchange. Find the mean and standard deviation of *x*.

165) Suppose that 67% of the employees of a company participate in the company's medical savings program. Let *x* be the number of employees who participate in the program in a random sample of 50 employees. Find the mean and standard deviation of *x*.

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

191) The daily revenue at a university snack bar has been recorded for the past five years. Records indicate that the mean daily revenue is $3400 and the standard deviation is $600. The distribution is skewed to the right due to several high volume days (football game days). Suppose that 100 days are randomly selected and the average daily revenue computed. Which of the following describes the sampling distribution of the sample mean?

A) normally distributed with a mean of $3400 and a standard deviation of $600

B) normally distributed with a mean of $340 and a standard deviation of $60

C) normally distributed with a mean of $3400 and a standard deviation of $60

D) skewed to the right with a mean of $3400 and a standard deviation of $600

192) The number of cars running a red light in a day, at a given intersection, possesses a distribution with a mean of 4.5 cars and a standard deviation of 5. The number of cars running the red light was observed on 100 randomly chosen days and the mean number of cars calculated. Describe the sampling distribution of the sample mean.

A) shape unknown with mean = 4.5 and standard deviation = 5

B) approximately normal with mean = 4.5 and standard deviation = 0.5

C) approximately normal with mean = 4.5 and standard deviation = 5

D) shape unknown with mean = 4.5 and standard deviation = 0.5

193) Suppose students' ages follow a skewed right distribution with a mean of 24 years old and a standard deviation of 5 years. If we randomly sample 250 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?

A) The shape of the sampling distribution is approximately normal.

B) The standard deviation of the sampling distribution is equal to 5 years.

C) The mean of the sampling distribution is approximately 24 years old.

D) All of the above statements are correct.

**SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.**

194) The amount of time it takes a student to walk from her home to class has a skewed right distribution with a mean of 13 minutes and a standard deviation of 1.2 minutes. If times were collected from 30 randomly selected walks, describe the sampling distribution of overbar(x), the sample mean time.

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

199) The weight of corn chips dispensed into a 12-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 12.5 ounces and a standard deviation of 0.1 ounce. Suppose 400 bags of chips are randomly selected. Find the probability that the mean weight of these 400 bags exceeds 12.6 ounces.

A) .1915

B) approximately 0

C) .3085

D) .6915

200) The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 62.

A) .1293

B) .3707

C) .4772

D) .0228

201) One year, the distribution of salaries for professional sports players had mean $1.6 million and standard deviation $0.9 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players that year exceeded $1.1 million.

A) .2357

B) approximately 0

C) approximately 1

D) .7357

**SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.**

202) Suppose a random sample of *n* = 64 measurements is selected from a population with mean *μ* = 65 and standard deviation *σ* = 12. Find the probability that overbar(x) falls between 65.75 an 68.75.