Assume that both populations are normally distributed. a) Test whether mu 1 greater than mu 2 at the alpha equals 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about mu 1 minus mu 2. Sample 1 Sample 2 n 22 17 x overbar 54.1 45.2 s 9.7 10.9 LOADING... Click the icon to view the Student t-distribution table. Question content area bottom Part 1 a) Perform a hypothesis test. Determine the null and alternative hypotheses. A. Upper H 0: mu 1 less than mu 2, Upper H 1: mu 1 greater than mu 2 B. Upper H 0: mu 1 equals mu 2, Upper H 1: mu 1 less than mu 2 C. Upper H 0: mu 1 equals mu 2, Upper H 1: mu 1 greater than mu 2 Your answer is correct.D. Upper H 0: mu 1 greater than mu 2, Upper H 1: mu 1 less than mu 2 Part 2 Determine the test statistic. tequals 2.65 (Round to two decimal places as needed.) Part 3 Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) A. The critical value is 1.746. Your answer is correct.B. The lower critical value is enter your response here. The upper critical value is enter your response here. Part 4 Should the hypothesis be rejected? Reject the null hypothesis because the test statistic is in the critical region. Part 5 b) Construct a 95% confidence interval about mu 1 minus mu 2. The confidence interval is the range from 1.75 to 16.05. (Round to two d