Suppose, for a sample selected from a population, 25 5 and s 4 9 a Construct a 95 confidence interval for assuming n 47 b Construct a 99 confidence interval for 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, ...

n 47 255 s 49 s s n 49 47 71473846 and df n 1 47 1 46 a 2 5 952 025 and t 2013 The 95 co ...

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

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.