Problem 1: 15 points = [5+5+5] A sample of n records, {X, parameters, (, 25 drivers was selected for a study of their car insurance policy premium. Individual 1 j 25} are assumed to be independent and normally distributed with unknown ). Sample summaries were reported as dollar amounts shown below: X ===== Sample Mean 82.80 and 8 Sample SD = 20 Answer each question by showing in either case the critical value, test statistic, rejection rule, and then state your decision. 1. At the significance level a 0.055%, do you have evidence that the true population mean is below o=90? = 2. At the significance level a =0.05 5%, is there enough evidence that the true population mean is above =75? 3. At the significance level a = differs from H= 75? = 0.05 5%, is there enough evidence that the true population mean