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 50 day-shift workers was 353. The mean number of units produced by a sample of 55 night-shift workers was 363. Assume the population standard deviation of the number of units produced on the day shift is 25 and 31 on the night shift. At the 0.01 significance level, is the number of units produced on the night shift larger

Answer 1

Explanation:

Let X represent the units produced day shift while Y night shift.

`H_0: \bar x= \bar y\\H_a: \bar x <\bar y`

(one tailed test at 1% significance level)

Given are the following data

Group Group One Group Two

Mean 353.00 363.00

SD 25.00 31.00

SEM 3.54 4.18

N 50 55

The mean of Group One minus Group Two equals -10.00

t = 1.8081

df = 103

standard error of difference = 5.531

The one-tailed P value equals 0.03675

Since p >0.01 we accept null hypothesis.

There is no statistical evidence to prove the claim that the number of units produced on the night shift larger