A certain test preparation course is designed to improve students' SAT Math scores. The students who took the prep course have a mean SAT Math score of 550, while the students who did not take the prep course have a mean SAT Math score of 541. Assume that the population standard deviation of the SAT Math scores for students who took the prep course is 35.8 and for students who did not take the prep course is 31.6 The SAT Math scores are taken for a sample of 77 students who took the prep course and a sample of 87students who did not take the prep course. Conduct a hypothesis test of the claim that the SAT Math scores for students who took the prep course is higher than the SAT Math scores for students who did not take the prep course. Let μ1 be the true mean SAT Math score for students who took the prep course and μ2 be the true mean SAT Math score for students who did not take the prep course. Use a 0.01 level of significance.
A certain test preparation course is designed to improve students' SAT Math scores. The students who took the prep course have a mean SAT Math score of 550, while the students who did not take the prep course have a mean SAT Math score of 541. Assume that the population standard deviation of the SAT Math scores for students who took the prep course is 35.8 and for students who did not take the prep course is 31.6 The SAT Math scores are taken for a sample of 77 students who took the prep course and a sample of 87students who did not take the prep course. Conduct a hypothesis test of the claim that the SAT Math scores for students who took the prep course is higher than the SAT Math scores for students who did not take the prep course. Let μ1 be the true mean SAT Math score for students who took the prep course and μ2 be the true mean SAT Math score for students who did not take the prep course. Use a 0.01 level of significance.
State the null and alternative hypotheses for the test.
Step 2 of 5: Compute the value of the test statistic. Round your answer to two decimal places
Step 3 of 5: Find the p-value associated with the test statistic. Round your answer to six decimal places
Step 4 of 5: Make decision for the hypothesis test (reject or fail)
Step 5 of 5: State the conclusion of the hypothesis test. Is there sufficient evidence?
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