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

Question

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 58 day-shift workers was 343. The mean number of units produced by a sample of 64 night-shift workers was 353. Assume the population standard deviation of the number of units produced on the day shift is 24 and 33 on the night shift.

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

1. State the decision rule. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

2. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Explanation / Answer

The statistical software output for this problem is:

Two sample Z summary hypothesis test:
1 : Mean of population 1 (Std. dev. = 24)
2 : Mean of population 2 (Std. dev. = 33)
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 < 0

Hypothesis test results:

Hence,

1. Decision Rule: Reject Ho if z < -2.05

2 Test statistic = -1.93

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