Question

Suppose a university advertises that its average class size is 35 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 38.1 students. Assume that the standard deviation for class size at the college is 9 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: Hy:

Answer 1

From the Given data, check whether or not the average class size is 35 Students (03) less, To test the hypothesis, Null hypothesis Ho: M235 Average class size is less than or equal to 35 students, alternative hypothesis, Hiiu >35 Average class size is greater than 35 students. Test statistich: a = 38.1, n=40, U=35, 5-9; 2-0'0j| 38.1 - 35 z =ă-l 2.1784 olun 9/140 Z= 2.1784 p-value = P(Z > 2.1784) I- P(zz (789) By using standard nagmal table got the values, we 1-0.9853 0.0147 Therefore p-value (0.0147) > d=0:0l, this indicates. it is not statistically significant & we cannot reject null hypothesis, so we have to accept the Null hypothesis Ho : 50, there as no sufficient evidence, to gefoke the claim.