Question

Suppose a university advertises that its average dlass size is 33 or less. A student onganization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 43 ciasses was selected, and the average class size was found to be 36.2 students. Assume that the standard deviation for class size at the college is 8 students. Using a 0.05, complete parts a and b below a. Does the student organization have enough evidence to refute the colege's claim? Determine the null and altemative hypotheses. Hgps33 H 33 The z-test statistic is 2.62 (Round to two decimal places as needed) The crtical z-score(s) is(are) 1.65 (Round to two decimal places as needed. Use a comma to separate answers as needed) Because the test statistic is greater than the ortical value, reject the nul hypothesis b. Delermine the p-value for this test The p-value is 004 (Round to three decimal places as needed)

Answer 1

Given, 2 43 36.2 HSople voean populot on andand devidion8 stahhe = 2 36.2 33 3 2 1.22 7 2.62 The criticat 2-scora s t 0S 1. 6S ecauge, the test tediis greator thon Crith at value, reject the hypothesis p-valur for this tst is 004