Can you solve this question step by step? Thank you. Exercise 10.1: You have bee

Question

Can you solve this question step by step? Thank you.

Exercise 10.1: 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 ?? and process 2 has a mean defined as u2. The null and alternative hypotheses are as follows: H1 : 111-42 > 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 0.05i 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

Explanation / Answer

Ans:

crititcal t value=-1.711

mean difference=-10

sd=sample standard deviation for the difference

Test statistic:

t=(-10-0)/(sd/sqrt(25)

As,for sd=20 and 15,test statistic is lower than -1.711,we reject the null hypothesis.

n=25

df=25-1=24

critical t value=1.711

Test statistic

sd t=-10*sqrt(25)/sd 20 -2.5 30 -1.67 15 -3.33 40 -1.25

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