Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
-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 to support this claim has been conducted and that the conclusion is to reject the
Null hypothesis, state the conclusion in nontechnical terms.
A) There is sufficient evidence to support the claim that the standard deviation is greater than 14.7.
B) There is not sufficient evidence to support the claim that the standard deviation is greater than 14.7.
C) There is sufficient evidence to support the claim that the standard deviation is less than 14.7.
D) There is not sufficient evidence to support the claim that the standard deviation is less than 14.7.

Question

Quizplus · Accepted Answer

The null hypothesis for this test would be that the standard deviation of test scores for seventh-graders at the principal's school is the same as the neighboring school, or in other words, that the standard deviation is 14.7. Since the conclusion is to reject the null hypothesis, there is sufficient evidence to support the claim that the standard deviation is less than 14.7, meaning that the test scores at the principal's school vary less than the neighboring school.

Formulate the Indicated Conclusion in Nontechnical Terms σ=14.7\sigma = 14.7σ=14.7 Assuming That a Hypothesis Test to Support This Claim Has

Formulate the Indicated Conclusion in Nontechnical Terms $\sigma = 14.7$ Assuming That a Hypothesis Test to Support This Claim Has