# Question: Suppose for a sample selected from a normally distributed population

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.

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.

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