Question

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 42 classes was​ selected, and the average class size was found to be 33.8 students. Assume that the standard deviation for class size at the college is 88 students. Using alpha=0.05​, 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.

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 _________, reject or do not reject the null hypothesis.

b. Determine the​ p-value for this test.

The​ p-value is

_____

​(Round to three decimal places as​ needed.)

Answer 1