Suppose a university advertises that its average class size is 31 or less. A stu

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 39 classes was selected, and the average class size was found to be 33.5 students. Assume that the standard deviation for class size at the college is 7 students. Using 0.05, complete parts a and b below The z-test statistic is 2.23 (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 b. Determine the p-value for this test. The p-value is the null hypothesis

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 31
HA : > 31
Standard deviation = 7

Hypothesis test results:

Hence,

Critical score = 1.65

Because the test statistic is Greater than the critical value, reject the null hypothesis.

p - Value = 0.0129 [Rounded off to 4 decimal places]

Mean n Sample Mean Std. Err. Z-Stat P-value 39 33.5 1.1208971 2.2303564 0.0129

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