4. Clark Heter is an industrial engineer at Lyons Products. He would like to det

Question

4. 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. Assume the population standard deviation for the number of units produced on the day shift is 21 and is 28 on the night shift. A sample of 54 day-shift workers showed that the mean number of units produced was 345. A sample of 60 night-shift workers showed that the mean number of units produced was 351. At the .05 significance level, is the number of units produced on the night shift larger?

Explanation / Answer

Assume the population standard deviation for the number of units produced on the day shift is 21 and is 28 on the night shift. A sample of 54 day-shift workers showed that the mean number of units produced was 345. A sample of 60 night-shift workers showed that the mean number of units produced was 351. At the .05 significance level, is the number of units produced on the night shift larger? Ho: u(night) u(day) 0 (claim) I ran a 2-Sample Ztest and got the following: test statistic: 1.3921 p-value = 0.0964 Conclusion: Since the p-value is greater than 5%, fail to reject Ho. The test results do not support the claim.

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