Answer to Question #11235 in Statistics and Probability for Raghav Agrawal

Question #11235
1. 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:

Ho: µ1 - µ2 ≤ 0
H1: µ1 - µ2 > 0

The process variances are unknown but assumed to be equal. Using a random sample of 25 observations from process 1 and 36 observations from process 2, the sample means are 56 and 50 for populations 1 and 2. Can you reject the null hypothesis using a probability of Type I error α = 0.05 if

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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