Suppose a university advertises that its average class size is 34 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 43 classes was selected, and the average class size was found to be 35.6 students. Assume that the standard deviation for class size at the college is 9 students. Using α=0.10, complete part a below. a. Does the student organization have enough evidence to refute the college's claim?
Determine the null and alternative hypotheses.
H0: μ ____ (greater than or equals≥ less than or equals≤ greater than> not equals≠ equals= less than<)
H1: μ ____ (equals= less than or equals≤ greater than or equals≥ less than< greater than> not equals≠)
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.
