Let the following sample of 8 observations be drawn from anormal population with unknown mean and standard deviation: 16, 21,12, 23, 25, 26, 22, 17. [You may find it useful toreference the t table.]
a. Calculate the sample mean and the samplestandard deviation. (Round intermediate calculations to atleast 4 decimal places. Round \"Sample mean\" to 3 decimal places and\"Sample standard deviation\" to 2 decimal places.)
b. Construct the 80% confidence interval forthe population mean. (Round \"t\" value to 3 decimalplaces and final answers to 2 decimal places.)
c. Construct the 90% confidence interval forthe population mean. (Round \"t\" value to 3 decimalplaces and final answers to 2 decimal places.)
d. What happens to the margin of error as theconfidence level increases from 80% to 90%?
