The shrinkage in length of a certain brand of blue jeans is normally distributed with a mean of 2.4 centimeters and a standard deviation of 0.4 centimeters.

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A STAT 200 instructor is interested in whether there is any variation in the final exam grades between her two classes Data collected from the two classes are as follows:

Her null hypothesis and alternative hypothesis are:

(a) Determine the test statistic. Show all work; writing the correct test statistic, without

supporting work, will receive no credit.

(b) Determine the P-value for this test. Show all work; writing the correct P-value, without

supporting work, will receive no credit.

(c) Is there sufficient evidence to justify the rejection of 0 H at the significance level of 0.05?

Explain.

(10 pts)