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3. You have been asked to determine if two different production processes have different mean numbers of units produced per hour. Process 1 has a

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3. 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 ml and process 2 has a mean defined as m2. The null and alternative hypotheses are as follows: HO : m1 - m2 = 0 H1 : ml - m2 = 0 The process variances are unknown but assumed to be equal. Using random samples of 25 observations from process 1 and 36 observations from process 2, the sample means are 56 and 50 for populations 1 and 2, respectively. The sample standard deviation from process 1 is 30 and from process 2 is 28. Can you reject the null hypothesis using a probability of Type I error a = 0.05 in each case? (34 Marks)

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