In: Statistics and Probability
Chap 7 ( Excel Question with
Excel formulas )
1. The average score for male golfers is 95 and the average score
for female golfers is 106. Use these values as the population mean
for men and women and assume that the population standard deviation
is stroked for both. A sample of 30 male golfers and another sample
of 45 female golfers will be taken.
a. Show the sampling distribution of 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 (c), is the probability of obtaining a sample mean within 3 strokes of the population mean higher? Why?
e. Determine the 99th percentile of the sampling distribution of or male golfers.
2. Forty-two percent of primary care doctors think their patients receive unnecessary medical care.
a. Suppose a sample of 300 primary care doctors were taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care.
b. What is the probability that the sample proportion will be with 0.03 of the population proportion?
c. What is the probability that the sample proportion will be with 0.05 of the population proportion?
d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why?
e. Determine the 95th percentile of the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care.