A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts | Proctored Nonproctored (a) and (b) below. P1 H2 30 32 14.55 32.85 S 10.71 22.64 a. 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. What are the null and alternative hypotheses? O A. Ho: H1 # H2 B. Ho: H1 = H2 H 1: 1 1

H2 The test statistic, t, is .(Round to two decimal places as needed.)b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. (Round to three decimal places as needed.)