# Question

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 Âµ1 and process 2 has a mean defined as Âµ2. The null and alternative hypotheses are as follows:

H0: Âµ1 â€“ Âµ2 â‰¤0

H1: Âµ1 - Âµ2 > 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. Can you reject the null hypothesis using a probability of Type I error a = 0.05 in each case?

a. The sample standard deviation from process 1 is 30 and from process 2 is 28.

b. The sample standard deviation from process 1 is 22 and from process 2 is 33.

c. The sample standard deviation from process 1 is 30 and from process 2 is 42.

d. The sample standard deviation from process 1 is 15 and from process 2 is 36.

H0: Âµ1 â€“ Âµ2 â‰¤0

H1: Âµ1 - Âµ2 > 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. Can you reject the null hypothesis using a probability of Type I error a = 0.05 in each case?

a. The sample standard deviation from process 1 is 30 and from process 2 is 28.

b. The sample standard deviation from process 1 is 22 and from process 2 is 33.

c. The sample standard deviation from process 1 is 30 and from process 2 is 42.

d. The sample standard deviation from process 1 is 15 and from process 2 is 36.

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