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 42 classes was selected, and the average class size was found to be 32.5 students. Assume that the standard deviation for class size at the college is 8 students. Using α = 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 = 31 H₁: > 31 The z-test statistic is. (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The z-test statistic is ___

The critical z-score is(are) ___

Because the test statistic _______ ______ the null hypothesis.

b. Determine the p-value for this test.

The p-value is ____.

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 42 classes was selected, and the average class size was found to be 32.5 students. Assume
that the standard deviation for class size at the college is 8 students. Using α = 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 = 31
H₁: > 31
The z-test statistic is.
(Round to two decimal places as needed.)
Transcribed Image Text: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 42 classes was selected, and the average class size was found to be 32.5 students. Assume that the standard deviation for class size at the college is 8 students. Using α = 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 = 31 H₁: > 31 The z-test statistic is. (Round to two decimal places as needed.)
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