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 scores before completing the prep course be Population 1 and let

MATLAB: An Introduction with Applications
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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 scores before completing the prep course be Population 1 and let scores after completing the prep course be Population 2.
 SAT Scores
Before Prep Course 1490 1280 1020 1350 1260 1030 1450 1170 1120
After Prep Course 1510 1360 1080 1540 1270 1100 1520 1420 1240
Step 1 of 3: 
State the null and alternative hypotheses for the test. Fill in the blank below.

H0: μd=60: Ha: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯60
Step 2 of 3: 
Compute the value of the test statistic. Round your answer to three decimal places.
Step 3 of 3: 
Draw a conclusion and interpret the decision.
 


 
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