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 40 classes was selected, and the average class size was found to be 33.1 students. Assume that the standard deviation for class size at the college is 9 students. Using α=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.
H0: μ (> ≥ = < ≤ ≠).
H1: μ (= ≤ ≥ < > ≠)
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 (does not fall within the critical values, is greater than the critical value, is less than the critical value, falls within the critical values)
(do not reject, reject) the null hypothesis.
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