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Assume that you have a sample of n, = 8, with the sample mean X, = 40, and a sample standard deviation of S, =6,

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Assume that you have a sample of n, = 8, with the sample mean X, = 40, and a sample standard deviation of S, =6, and you have an independent sample of n =6 from another population with a sample mean of X2 = 30 and the sample standard deviation S, = 7. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that #1 > #2? Determine the hypotheses. Choose the correct answer below. OA. HO: H1 > H2 OB. HO: My =H2 H1 : My > H2 OC. HO: My # #2 OD. HO: H1 = H2 H1 : 1 1 = H2 Hy: My * H2 Find the test statistic. The value of the test statistic = (Round to 4 decimal places as needed.) Find the p-value. p-value =(Round to four decimal places as needed.) Choose the correct conclusion below. O A. Reject Ho. There is insufficient evidence that my > H2. O B. Do not reject Ho. There is insufficient evidence that my > H2. O C. Reject Ho. There is sufficient evidence that #1 > H2. O D. Do not reject Ho. There is sufficient evidence that #1 > H2

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