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Suppose a university advertises that its average class size is 31 or less. A student organization is concerned that budget cuts have led to

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Suppose a university advertises that its average class size is 31 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 41 classes was selected, and the average class size was found to be 32.2 students. Assume that the standard deviation for class size at the college is 7 students. Using a 0.01, complete parts a and b below. a. Does the student organization have enough evidence to refute the college's claim? Determine the null and alternative hypotheses. Ho H HH The z-test statistic is (Round to two decimal places as needed.) The critical z-score(s) is (are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) Because the test statistic b. Determine the p-value for this test. The p-value is (Round to three decimal places as needed.) the null hypothesis.

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