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9. (8 points) A test of abstract reasoning is given to a random sample of students before and after they completed a logic course. The

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9. (8 points) A test of abstract reasoning is given to a random sample of students before and after they completed a logic course. The results are given below. Test the claim that the logic course is effective in improving abstract reasoning using a significance level of 0.01. (subtract "after" minus "before") After 73 77 70 77 74 Before 74 83 75 88 84 a) State the null and alternative hypotheses. b) Stating the calculator command you use, find the value of the test statistic and the P-value. Round to the third decimal place. c) State whether you should reject or fail to reject the null hypothesis. Justify your answer. d) State your conclusion in non-technical terms

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