# Do students reduce study time in classes where they achieve a higher midterm score? In a...

###### Question:

Do students reduce study time in classes where they achieve a higher midterm score? In a Journal of Economic Education article (Winter 2005), Gregory Krohn and Catherine O'Connor studied student effort and performance in a class over a semester. In an intermediate macroeconomics course, they found that "students respond to higher midterm scores by reducing the number of hours they subsequently allocate to studying for the course." Suppose that a random sample of n = 8 students who performed well on the midterm exam was taken and weekly study times before and after the exam were compared. The resulting data are given in Table 10.6. Assume that the population of all possible paired differences is normally distributed. Table 10.6 Weekly Study Time Data for Students Who Perform Well on the MidTerm Before After 17 15 10 18 17 10 13 Paired T-Test and Cl: Study Before, Study After Paired T for Study Before - Study After StDev Mean 15.6250 2.5036 1.4079 3.10530 SE Mean 8851 4978 1.09789 StudyAfter 9.3750 6.25000 95% CI for mean difference: (3.65391, 8.84609) T-Test of mean difference(vs not 0): T-Value5.69, P-Value ,0007 (a) Set up the null and alternative hypotheses to test whether there is a difference in the true mean study time before and after the midterm exam. versus Ha, μd ? (b) Above we present the MINITAB output for the paired differences test. Use the output and critical values to test the hypotheses at the .10,.05, and.01 level of significance. Has the true mean study time changed? Round your answer to 2 decimal places.) we have i (Click to select) evidence. (c) Use the p-value to test the hypotheses at the.10, .05, and.01 level of significance. How much evidence is there against the null hypothesis? There is (Click to select) against the null hypothesis

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