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 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let scores before completing the prep course be Population 1 and let scores after completing the prep course be Population 2. Before Prep Course After Prep Course 1270 1420 1300 1480 1540 1420 SAT Scores 1170 1150 1230 1220 1180 1280 1200 1150 1310 1310 1370 1560 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

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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 0.01 level of
significance assuming that the population distribution of the paired differences is approximately normal. Let scores before completing the prep course be Population 1
and let scores after completing the prep course be Population 2.
Before
Prep
Course
After
Prep
Course
1270 1420 1300
1480 1540 1420
SAT Scores
1170 1150 1230 1220 1180 1280
1200 1150 1310 1310 1370 1560
Copy Data
Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Transcribed Image Text: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 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let scores before completing the prep course be Population 1 and let scores after completing the prep course be Population 2. Before Prep Course After Prep Course 1270 1420 1300 1480 1540 1420 SAT Scores 1170 1150 1230 1220 1180 1280 1200 1150 1310 1310 1370 1560 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
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