Suppose, for a random sample selected from a normal population, we have the values of the...

Suppose, for a random sample selected from a normal population, we
have the values of the sample mean x ̄ = 67.95 and the standard deviation s = 9.
a. Construct a 95% confidence interval for population mean μ assuming the sample size n = 16.
b. Construct a 90% confidence interval for population mean μ assuming n = 16.
c. Obtain the width of the confidence intervals calculated in a and b. Is the width of 90% confidence
interval (calculated in part a) smaller than the width of 95% confidence interval (calculated in
part b). If so, why? Explain.
d. Find the 95% confidence interval for μ assuming n = 25.
e. Is the width of 95% confidence interval (calculated in part d) smaller than the width of 95%
confidence interval (calculated in part a). If so, why? Explain.

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