# 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 - Âµ2 = 0

H1: Âµ1 â€“ Âµ2 > 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

H0: Âµ1 - Âµ2 = 0

H1: Âµ1 â€“ Âµ2 > 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

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