Question: Suppose, for a sample selected from a normally distributed population, = 68.50 and s = 8.9.
a. Construct a 95% confidence interval for μ assuming n = 16.
b. Construct a 90% confidence interval for μ assuming n = 16. Is the width of the 90% confidence interval smaller than the width of the 95% confidence interval calculated in part a? If yes, explain why.
c. Find a 95% confidence interval for μ assuming n = 25. Is the width of the 95% confidence interval for with n = 25 smaller than the width of the 95% confidence interval for μ with n = 16 calculated in part a? If so, why? Explain.