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Consider the hypothesis test Ho : M1 - /2 = 0 against H1 : M1 - /2 # 0 samples below: 37 40 32 32 33 30 31 30 38 38 30 38 37 30 39 32 34 40 34 30 35 33 32 29 30 37 32 33 30 30 30 32 34 34 Variances: 61 = 3.8,62 = 0.0. Use a = 0.05. (a) Test the hypothesis and find the P-value. Find the test statistic. Round your answers to four decimal places (e.g. 98.7654). ZO ~ 1.7194 P - value = 0.0855 (b) Explain how this test could be conducted with a confidence interval. Round your answers to three decimal places (e.g. 98.765). We are 95% confident that value 1 exceeds value 2 by between -0.323 SHI - 12 S 4.934 (c) What is the power of the test for the true difference in means of 2? Round your answer to three decimal places (e.g. 98.765). The power of the test is 1 - B = i 0.319