Please help, please show work. Thanks!You take a sample of 22 from a population of test scores, and the mean of your sample is 60. (a) You know the st

Please help, please show work. Thanks!You take a sample of 22 from a population of test scores, and the mean of your sample is 60. (a) You know the standard deviation of the population is 10. What is the 99% confidence interval on the population mean. (b) Now assume that you do not know the population standard deviation, but the standard deviation in your sample is 10. What is the 99% confidence interval on the mean now?