Question

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 σ = 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.

Answer 1

Rejecting the null hypothesis supports the principal's claim that the variation in test scores in his school is less compared to the neighboring school's significant variation of σ = 14.7.

Step-by-step explanation:

• The principal's claim that the seventh-graders at his school have test scores with less variation than the scores at a neighboring school (which have a variation described by σ = 14.7) has been supported by the conclusion of a hypothesis test.
• Since the null hypothesis was rejected, we interpret this result to mean that the evidence suggests there is indeed less variation in test scores at the principal's school compared to the other school.
• In nontechnical terms, this means the principal was likely correct in saying that his students' test scores do not differ as much as those of the students at the neighboring school.

Answer 2

There is sufficient evidence to support the claim that the standard deviation is less than 14.7.

Step-by-step explanation:

From the question we are told that that the null hypothesis is

`H_o : \sigma < 14.7`

Now given from the question that this null hypothesis was rejected, it mean, in non technical term that there is sufficient evidence to support the claim that the standard deviation is less than 14.7.