# Question: The average score for male golfers is 95 and the

The average score for male golfers is 95 and the average score for female golfers is 106 (Golf Digest, April 2006). Use these values as the population means for men and women and assume that the population standard deviation is σ = 14 strokes for both. A simple random sample of 30 male golfers and another simple random sample of 45 female golfers will be taken.

a. Show the sampling distribution of for male golfers.

b. What is the probability that the sample mean is within 3 strokes of the population mean for the sample of male golfers?

c. What is the probability that the sample mean is within 3 strokes of the population mean for the sample of female golfers?

d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 3 strokes of the population mean higher? Why?

a. Show the sampling distribution of for male golfers.

b. What is the probability that the sample mean is within 3 strokes of the population mean for the sample of male golfers?

c. What is the probability that the sample mean is within 3 strokes of the population mean for the sample of female golfers?

d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 3 strokes of the population mean higher? Why?

## Relevant Questions

The average price of a gallon of unleaded regular gasoline was reported to be $2.34 in northern Kentucky (The Cincinnati Enquirer, January 21, 2006). Use this price as the population mean, and assume the population standard ...BusinessWeek surveyed MBAalumni 10 years after graduation (BusinessWeek, September 22, 2003). One finding was that alumni spend an average of $115.50 per week eating out socially. You have been asked to conduct a follow-up ...A simple random sample of 50 items from a population with σ 6 resulted in a sample mean of 32. a. Provide a 90% confidence interval for the population mean. b. Provide a 95% confidence interval for the population mean. c. ...Towers Perrin, a New York human resources consulting firm, conducted a survey of 1100 employees at medium-sized and large companies to determine how dissatisfied employees were with their jobs (The Wall Street Journal, ...A well-known bank credit card firm wishes to estimate the proportion of credit card holders who carry a nonzero balance at the end of the month and incur an interest charge. Assume that the desired margin of error is .03 at ...Post your question