The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of the seventh-graders at a neighboring school, which have variation described by $\sigma = 14.7$.
Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
A) There is not sufficient evidence to support the claim that the standard deviation is less than 14.7.
B) There is sufficient evidence to support the claim that the standard deviation is less than 14.7.
C) There is sufficient evidence to support the claim that the standard deviation is greater than $14.7$.
D) There is not sufficient evidence to support the claim that the standard deviation is greater than $14.7$.

Question

Quizplus · Accepted Answer

Rejecting the null hypothesis in this context means that the evidence supports the claim that the standard deviation of the test scores at the principal's school is less than 14.7, indicating less variability in test scores compared to the neighboring school.

The Principal of a Middle School Claims That Test Scores σ=14.7\sigma = 14.7σ=14.7

The Principal of a Middle School Claims That Test Scores $\sigma = 14.7$