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 60 day-shift workers was 352. The mean number of units produced by a sample of 64 night-shift workers was 362. Assume the population standard deviation of the number of units produced on the day shift is 24 and 31 on the night shift.   Using the 0.02 significance level, is the number of units produced on the night shift larger?   Required:   a. State the null and alternate hypotheses.   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. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 60 day-shift workers was 352. The mean number of units produced by a sample of 64 night-shift workers was 362. Assume the population standard deviation of the number of units produced on the day shift is 24 and 31 on the night shift.

 

Using the 0.02 significance level, is the number of units produced on the night shift larger?

 

Required:

 

a. State the null and alternate hypotheses.

 

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. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)

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