A simple random sample with n=56 provided a sample mean of 21.5 and a sample standard deviation of 4.4. a. Develop a 90% confidence interval for the population mean (to 1 decimal). b. Develop a 95% confidence interval for the population mean (to 1 decimal). c. Develop a 99% confidence interval for the population mean (to 1 decimal). d. What happens to the margin of error and the confidence interval as the confidence level is increased? A simple random sample with n=56 provided a sample mean of 21.5 and a sample standard deviation of 4.4. a. Develop a 90% confidence interval for the population mean (to 1 decimal). b. Develop a 95\% confidence interyal for the population mean (to I decimal). c. Develop a 99% confidence interval for the population mean (to 1 decimal). d. What happens to the margin of error and the confidence interval as the confidence level is increased