Clark Heter is an industrial engineer at Lyons Products He w

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. A sample of 56 day-shift workers showed that the mean number of units produced was 338, with a population standard deviation of 24. A sample of 62 night-shift workers showed that the mean number of units produced was 343, with a population standard deviation of 31 units.

The test statistic is Z = . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Reject or do not reject?

Solution

1) One tailed test.(as claim is more units produced at night)

2) The decision rule is reject H0 if Z<1.645

3) Mean diff = - 5

The two samples are not significantly different.

Day shift average less than night shift average has no statistical evidence.