In order to estimate the average cholesterol levels of men ages 18 to 24, a random sample of 20 men in the relevant age group was selected. It was found that the sample mean cholesterol level was 177 with the sample standard deviation of 32.7. Assume that cholesterol levels are approximately normally distributed.
A. Compute a 97% confidence interval to estimate the population mean cholesterol level of men ages 18-24.
$t$-critical value = 2.5391
Standard error of the mean = 7.3039
Margin of error = 18.53
97% confidence interval: (158.47 , 195.53 )