Question: The NAEP (National Assessment of Educational Progress) includes a short test of quantitative skills, covering basic arithmetic and the ability to apply it. Suppose a random sample of 60 young adult men are taken from a large population. (Assume ??= 60)

a) Describe the shape of the sampling distribution of \[\bar{x}\]. Justify your answer. (1prs)

b) If the mean of the sample is 265, what is a 90% confidence interval? (2pts)

c) If a 95% confidence interval is 256.82 to 287.18, what is the mean of the sample? (2pts)

d) What does 95% confidence mean? (2pts)