A study was done on proctored and nonproctored tests. The results are shown in the Proctored Nonproctored table. Assume that the two samples are independent simple random samples selected H 1 H2 from normally distributed populations, and do not assume that the population standard n 30 33 deviations are equal. X 78.96 86.73 S 11.87 22.97 Use a 0.01 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. The confidence interval is type your answer...