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The difference(after-before) in the score on a cognitive function test before and after the drug Adderall...

The difference(after-before) in the score on a cognitive function test before and after the drug Adderall was given to 10 test subjects is 4, 5, 10, -5, -1, 12, 3, 15, -6, 9. Test the claim, at the 1% significance level, that Adderall improved test scores. Find the 99% confidence interval for the difference in test scores.

Math   Statistics-And-Probability   
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Answer #1

Solution: The mean and standard deviation of the given differences are:

The null and alternative hypotheses are:

The test statistic is:

The p-value is:

Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and there is not sufficient evidence to support the claim that Adderall improved test scores.

The 99% confidence interval is:

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