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 52 day-shift workers was 327. The mean number of units produced by a sample of 58 night-shift workers was 332. Assume the population standard deviation of the number of units produced on the day shift is 23 and 31 on the night shift.

At the 0.05 significance level, is the number of units produced on the night shift larger?

Is this a one-tailed or a two-tailed test?

One-tailed test

Two-tailed test

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

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

What is your decision regarding H₀?

Reject H₀.

Do not reject H₀.

Answer 1

Given that, For day shift:

For night shift:

The null and the alternative hypotheses are,

This is one-tailed (right-tailed) test

At 0.05 significance level, critical value is, Z^* = -1.65

Decision Rule: Reject H₀, if test statistic < -1.65

Test statistic is, Z = -0.97

Here, test statistic = -0.97 > -1.65

So, we do not reject H₀