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 Using a random sample of 25 pair...

n 25 paired observations with sample means of 50 and 60 for populations 1 and 2 Can you reject the n ...

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
Using a random sample of 25 paired observations, the sample means are 50 and 60 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 of the difference is 20
b. The sample standard deviation of the difference is 30
c. The sample standard deviation of the difference is 15
d. The sample standard deviation of the difference is 40