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