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