The average score for male golfers is 87 and the average scorefor female golfers is 102. Use these values as the population meansfor men and women and assume that the population standard deviation? = 14 strokes for both. A simple random sample of 32 male golfersand another simple random sample of 36 female golfers will betaken.
a. Calculate the standard error of the mean for both male andfemale golfers.
b. What is the probability that the sample mean is within 3strokes of the populations mean for the sample of male golfers?
c. What is the probability that the sample mean is within 3strokes of the populations mean for the sample of femalegolfers?
d. In which case, part (b) or part (c), is the probability ofobtaining a sample mean within 3 strokes of the population meanhigher? Why?
