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 1 and process 2 has a mean defined as 2. The null and alternative hypotheses are Upper H0: 1 2 0 and H1: 1 2 > 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 59 and 49 for populations 1 and 2 respectively. Complete parts a through d:

A. Can you reject the null hypothesis, using a probability of Type I error =0.05, if the sample standard deviation from process 1 is 29 and from process 2 is 24?

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 asneeded.)

B. Can you reject the null hypothesis, using a probability of Type I error =0.05, if the sample standard deviation from process 1 is 24 and from process 2 is 37?

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 asneeded.)

C.. Can you reject the null hypothesis, using a probability of Type I error =0.05, if the sample standard deviation from process 1 is 30 and from process 2 is 37?

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 asneeded.)

D. Can you reject the null hypothesis, using a probability of Type I error =0.05, if the sample standard deviation from process 1 is 17 and from process 2 is 45?

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 asneeded.)

Please help thanks