Your answer is partially correct. Consider the hypothesis test Ho: #1 = /2 against Hi: # #2 with known standard deviations of = 10 and 62 = 6. Suppose that sample sizes n = 11 and ny = 14 and that X] = 4.9 and X2 = 7.8. Usea = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain / = 0.05 if the true difference in means is 3? Assume that or = 0.05. (a) The null hypothesis is not rejected. The P-value is i Round your answer to three decimal places (e.g. 98.765). (b) The power is i Round your answer to two decimal places (e.g. 98.76). (Cm= m= Round your answer up to the nearest integer. Statistical Tables and Charts