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You have been asked to determine if two different production processes have different mean numbers of units produced per hour. Process 1 has a mean defined as u and process 2 has a mean defined as /2 . The null and alternative hypotheses are as follows: Ho : M1 - M2 = 0 Ha : M1 - 12 > 0 Use a random sample of 25 observations from process 1 and 28 observa- tions from process 2 and the known variance for process 1 equal to 900 and the known variance for process 2 equal to 1,600. Can you reject the null hypothesis using a probability of Type I error a = 0.05 in each case? (a) X1 = 50 and X2 = 60. (b) X1 - X1 = 20

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