1. A study was done on proctored and non-proctored 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 (a) and (b) below. Use 90.05 significance level for both pants. Proctored Nonproctored H1 H2 31 35 78.07 88.11 10.67 21.93 df=30 34 a. Test the claim that students taking non-proctored tests get a higher mean score than those taking proctored tests. What are the null and alternative hypotheses? Ho: M , = M 2 HA: Me .