Question

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 40 classes was selected, and the average class size was found to be 37.3 students. Assume that the standard deviation for class size at the college is 9 students. Using a 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 Ho: μ 34 H1:μ > 34 Determine the p-value for this test. The p-value is (Round to three decimal places as needed.) b. You should reject the null hypothesis.

Answer 1

The statistical software output for this problem is:

One sample Z summary hypothesis test:
μ : Mean of population
H₀ : μ = 34
H_A : μ > 34
Standard deviation = 9

Hypothesis test results:

Mean	n	Sample Mean	Std. Err.	Z-Stat	P-value
μ	40	37.3	1.4230249	2.3190036	0.0102

Hence,

p - Value = 0.010