Exercise 11.21 (Algo) METHODS AND APPLICATIONSDo 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 anintermediate macroeconomics course, they found that "students respond to higher midterm scores by reducing the number of hoursthey subsequently allocate to studying for the course." Suppose that a random sample of n = 8 students who performed well on themidterm exam was taken and weekly study times before and after the exam were compared. The resulting data are given in Table 11.5.Assume that the population of all possible paired differences is normally distributed.Table 11.5Weekly Study Time Data for Students Who Perform Well on the MidTerm1371018171010StudentsBeforeAfterStudyBeforeStudyAfterDifferencePaired T-Test and Cl: StudyBefore, StudyAfterPaired T for StudyBefore - StudyAfterMean15.12509.75005.37500HO: µd =8N888t=2149There isSt Dev3.04431.98212.8252741513versus Ha: ud #, We have595% CI for mean difference: (3.01302, 7.73698)T-Test of mean difference = 0 (vs not = 0): T-Value = 5.38, P-Value = .0010199SE Mean1.0763.7008.99888(a) Set up the null and alternative hypotheses to test whether there is a difference in the true mean study time before and after themidterm exam.6127(b) Above we present the MINITAB output for the paired differences test. Use the output and critical values to test the hypotheses atthe .10, .05, and .01 level of significance. Has the true mean study time changed? (Round your answer to 2 decimal places.)8evidence.1612evidence against the null hypothesis.(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 nullhypothesis?

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 11.5. Assume that the population of all possible paired differences is normally distributed. Table 11.5 Weekly Study Time Data for Students Who Perform Well on the MidTerm 1 3 7 18 17 10 10 Students Before After N StudyBefore 8 StudyAfter 8 Difference 8 10 8 Paired T-Test and Cl: StudyBefore, StudyAfter Paired T for StudyBefore - StudyAfter Mean 15.1250 9.7500 5.37500 2 14 HO: ud = 9 There is St Dev 3.0443 1.9821 2.82527 4 versus Ha: µd # We have 15 13 5 19 9 95% CI for mean difference: (3.01302, 7.73698) T-Test of mean difference = 0 (vs not = 0): T-Value = 5.38, P.Value = .0010 SE Mean 1.0763 .7008 .99888 (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. 6 12 7 (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.) 8 16 12 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? evidence against the pull hypothesis

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 5E: Population Genetics In the study of population genetics, an important measure of inbreeding is the...