Assume that both populations are normally distributed. a) Test whether u, # H2 at the oa= 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about u-42- 77 Sample 1 12 10.4 29 Sample 2 12 8. 2.1 a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 # H2, H1: H1 =H2 O B. Ho: H1 = H2, H: H1 H2 O D. Ho: H1 = H2, HH #H2 Determine the test statistic, t= (Round to two decimal places as needed.) 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.) O A. The critical value is. O B. The lower critical value is The upper critical value is Should the hypothesis be rejected? V the null hypothesis because the test statistic V the critical region. b) Construct a 95% confidence interval about u, - 42-

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