Question: It has been suggested that the second-shift workers show more variability in their output levels (units/week) than the first-shift workers. To test whether this hypothesis

It has been suggested that the second-shift workers show more variability in their output levels (units/week) than the first-shift workers. To test whether this hypothesis is true, you want to collect samples to test the hypothesis. Below, you are given the results of two independent random samples. Use = 0.05. (15 points)

Second Shift

First Shift

Sample Size

9

7

Sample Mean

520

540

Sample Variance

38

20

a) Formulate the hypotheses. (5 points)

b) Calculate the test statistics (F value) and test the hypotheses. What is the conclusion? (10 points)

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