A random sample of 27 observations is used to estimate thepopulation mean. The sample mean and the sample standard deviationare calculated as 113.9 and 20.40, respectively. Assume that thepopulation is normally distributed. [You may find it usefulto reference the t table.]
a. Construct the 90% confidence interval for thepopulation mean. (Round intermediate calculations to atleast 4 decimal places. Round \"t\" value to 3 decimalplaces and final answers to 2 decimal places.)
b. Construct the 95% confidence interval forthe population mean. (Round intermediate calculations to atleast 4 decimal places. Round \"t\" value to 3 decimalplaces and final answers to 2 decimal places.)