A random sample of n = 64 observations has a mean = 29.1 and a standard deviation s = 3...

A random sample of n = 64 observations has a mean = 29.1 and a standard deviation s = 3.9.

a. Give the point estimate of the population mean m and find the margin of error for your estimate.

b. Find a 90% confidence interval for µ. What does “90% confident” mean?

c. Find a 90% lower confidence bound for the population mean µ. Why is this bound different from the lower confidence limit in part b?

d. How many observations do you need to estimate µ to within .5, with probability equal to .95?