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An SAT prep course claims to increase student scores by more than 60
points, on average. To test this claim, 9
students who have previously taken the SAT are randomly chosen to take the prep course. Their SAT scores before and after completing the prep course are listed in the following table. Test the claim at the 0.05
level of significance assuming that the population distribution of the paired differences is approximately normal. Let d=
(scores after completing the prep course) −
(scores before completing the prep course). Step 2 of 3 :  Compute the value of the test statistic. Round your answer to three decimal places.

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If you'd like, I can guide you through the steps to calculate the test statistic manually. Would you like assistance with that?

Here are five related questions to further explore this concept:

1. What is the importance of calculating the test statistic in hypothesis testing?
2. How does the t-distribution differ from the normal distribution in small samples?
3. How do paired samples t-tests differ from independent samples t-tests?
4. What conditions need to be met to use a paired t-test?
5. How does increasing the sample size affect the reliability of hypothesis testing?

**Tip**: Always ensure the normality of differences when applying a paired t-test for more accurate results.

An SAT prep course claims to increase student scores by more than 60 points, on average. To test this claim, 9 students who have previously taken the SAT are randomly chosen to take the prep course. Their SAT scores before and after completing the prep course are listed in the table. Test the claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let d = (scores after completing the prep course) − (scores before completing the prep course). Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

Test whether an SAT prep course increases student scores by more than 60 points using a paired t-test. Analyze scores before and after the course and compute the test statistic at a 0.05 level of significance. Includes step-by-step calculations for the test statistic.

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