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 as follows H0 1 2 0 H1 1 2 0 The process variances are unknow...

Let x Process 1 y Process 2 a Reject H 0 if For the given data D ...

You have been asked to determine if two different production processes have different mean numbers of units

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 µ1 and process 2 has a mean defined as µ2. The null and alternative hypotheses are as follows:
H0: µ1 – µ2 ≤0
H1: µ1 - µ2 > 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.