# Question

Suppose, for a sample selected from a population, = 25.5 and s = 4.9.

a. Construct a 95% confidence interval for µ assuming n = 47.

b. Construct a 99% confidence interval for µ assuming n = 47. Is the width of the 99% confidence interval larger 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 = 32. Is the width of the 95% confidence interval for µ with n = 32 larger than the width of the 95% confidence interval for µ with n = 47 calculated in part a? If so, why? Explain.

a. Construct a 95% confidence interval for µ assuming n = 47.

b. Construct a 99% confidence interval for µ assuming n = 47. Is the width of the 99% confidence interval larger 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 = 32. Is the width of the 95% confidence interval for µ with n = 32 larger than the width of the 95% confidence interval for µ with n = 47 calculated in part a? If so, why? Explain.

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