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 p1 and process 2 has a mean defined as p2. The null and alternative hypotheses are H0: p1 - pz 5 0 and H1: p1 - p2 > 0. The process variances are unknown but assumed to be equal. Using random samples of 49 observations from process 1 and 25 observations from process 2, the sample means are 62 and 46 for populations 1 and 2 respectively. Complete parts a through d below. a 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 32 and from process 2 is 28? 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 V V b. Can you reject the nul hypothesis, using a probability of Type I error a = 0.05, if the sample standard deviation from process 1 is 21 and from process 2 is 32? 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 V V c. Can you reject the null hypothesis, using a probability of Type I error or = 0.05, if the sample standard deviation from process 1 is 28 and from process 2 is 34? The test statistic is t = (Round to three decimal places as needed.) 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 ].l.1 and process 2 has a mean defined as 1.12. The null and atternative hypotheses are HG: u1 - P2 5 0 and H1: p1 - 1.12 > 0. The process variances are unknown but assumed to be equal. Using random samples of 49 observations from process 1 and 25 observations from process 2, the sample means are 62 and 46 for populations 1 and 2 respectively. Complete parts a through d below. a Click the icon to view a table of critical values for the Student's tdistribution. H... mum... .......u..\\..., ....\\..... u, . (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is V V c. Can you reject the null hypothesis, using a probability of Type I error or = 0.05. if the sample standard deviation from process 1 is 28 and from process 2 is 34? 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 V V d. Can you reject the nul hypothesis, using a probability of Type I error (I = 0.05, if the sample standard deviation from process 1 is 17 and from process 2 is 40? 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 V V This less than - thy + ny - 2,a' This less than - thy + ny - 2,a/2' You have been asked to ave different mean numbers o as u, and process 2 has ypotheses are Ho: H1 - H2 50 but assumed to be equal. between - t - 1, a/2 and th - 1, a/2, process 1 and 25 observations populations 1 and 2 resp Click the icon to viev greater than t + ny -2,a/2' ibution. greater than t + ny - 2,a(' a. Can you reject the null = 0.05, if the sample standard devi The test statistic is t =] greater than - In + nv -2,a' The critical value(s) is(are less than th + ny - 2,a' (Round to three decimal ;wers as needed.) Since the test statistic is b. Can you reject the null hypothesis, using a probability of Type I error a = 0.05, if the sample standard deviatio 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 fr The test statistic is t= (Round to three decimal places as needed.)