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Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. Population 1 Population 2 (a) Test whether u,

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Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. Population 1 Population 2 (a) Test whether u, > u2 at the a = 0.10 level of significance for the given sample data. n 21 25 (b) Construct a 90% confidence interval about 1 - 12. 46.4 44.1 6.6 10.8 (a) Identify the null and alternative hypotheses for this test. O A. Ho: H1

H2 O C. Ho: H1 = H2 H1: 141 = H2 H1: H1 = H2 H1: H1 -H2 OD. HO: H1 # H2 O E. Ho: H1 = H2 OF. HO: H1 = H2 H1: H1 = H2 H1: H1 # 12 H1: H1 > H2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) State the conclusion for this hypothesis test. O A. Reject Ho. There is not sufficient evidence at the a = 0.10 level of significance to conclude that u, > #2. O B. Do not reject Ho. There is not sufficient evidence at the or = 0.10 level of significance to conclude that py > #2. O C. Reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that #1 > #2. O D. Do not reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that #1 > #2- (b) The 90% confidence interval about u - H2 is the range from a lower bound of to an upper bound of (Round to three decimal places as needed.)

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