Question

Five students took a math test before and after tutoring. Their scores were as follows. Using...

Five students took a math test before and after tutoring. Their scores were as follows.

Using a 0.01 level of significance, test the claim that the tutoring has an effect on the math scores.

Reject H0. There is sufficient evidence to support the claim that the tutoring has an effect.

Reject H0. There is not sufficient evidence to support the claim that the tutoring has an effect.

Fail to reject H0. There is sufficient evidence to support the claim that the tutoring has an effect.

Fail to reject H0. There is not sufficient evidence to support the claim that the tutoring has an effect
Math   Statistics-And-Probability   
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Answer #1

There is no data given here to calculate however I am given a general answer to what to do.

The test is performance of the students in the test before and after tutoring. Since the student are the same for both the treatments before and after tutoring so we will have to perform a paired t-test.

H0: the tutoring has no effect

H1: the tutoring has an effect

Now if the p-value is coming less than 0.01 (level of significance) then reject H0 and conclude that there is sufficient evidence to support the claim that tutoring has an effect.

Otherwise, we fail to reject H0: There is sufficient evidence to support the claim that the tutoring has no effect.

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