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Find the probability of a Type II error for the following test of hypothesis, given that µ = 196: H0: µ = 200 H1: µ < 200 The significance level is 10%, the population standard deviation is 30, and the sample size is 25. b. Repeat part (a) with n = 100. c. Describe the effect on ß of increasing n. 11.56 a. Determine ß for the following test of hypothesis, given that µ = 310: H0: µ = 300 H1: µ > 300 The statistics practitioner knows that the population standard deviation is 50, the significance level is 5%, and the sample size is 81. b. Repeat part (a) with n = 36. c. Describe the effect on ß of decreasing n. 11.57 For Exercises 11.55 and 11.56, draw the sampling distributions similar to Figure 11.9
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