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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
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 u2. The null and alternative hypotheses are Ho : H1 - H2 50 and H1: H1 -H2 >0. The process variances are unknown but assumed to be equal. Using random samples of 36 observations from process 1 and 25 observations from process 2, the sample means are 58 and 45 for populations 1 and 2 respectively. Complete parts a through d below. Click the icon to view a table of critical values for the Student's t-distribution. a. Can you reject the null hypothesis, using a probability of Type I error a - 0.05, if the sample standard deviation from process 1 is 28 and from process 2 is 23? The test statistic is t= (Round to three decimal places as needed.) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is b. Can you reject the null hypothesis, using a probability of Type I error o = 0.05, if the sample standard deviation from process 1 is 22 and from process 2 is 31? The test statistic is t= (Round to three decimal places as needed.) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is c. Can you reject the null hypothesis, using a probability of Type I error a - 0.05, if the sample standard deviation from process 1 is ro 28 and from process 2 is 33? The test statistic is t= (Round to three decimal places as needed.) The critical value(s) is(are) = (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is ved Enter your answer in each of the answer boxes ? Save for Later
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