Answered

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Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. The mean number of units produced by a sample of 86 day-shift workers was 361. The mean number of units produced by a sample of 92 night-shift workers was 367. Assume the population standard deviation of the number of units produced is 37 on the day shift and 44 on the night shift.

Using the 0.05 significance level, is the number of units produced on the night shift larger?

a. State the null and alternate hypotheses.

multiple choice 1
H0: μDay ≥ μNight; H1: μDay < μNight
H0: μDay ≥ μNight; H1: μDay > μNight
H0: μDay ≥ μNight; H1: μDay = μNight


b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)



c. Compute the p-value. (Round your answer to 4 decimal places.)



d. What is your decision regarding the null hypothesis?

multiple choice 2
Reject H0
Do not reject H0


e. Using the 0.05 significance level, is the number of units produced on the night shift larger?

multiple choice 3
Yes
No

Sagot :

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