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4.         Suppose a sample of 8 students were given a diagnostic test before studying a particular module...

4.         Suppose a sample of 8 students were given a diagnostic test before studying a particular module and then again after completing the module. We want to find out if, in general, our teaching leads to improvements in students’ knowledge/skills (i.e. test scores).  (2,4,4)

            Student            Pre-Module Score                    Post-Module Score

            1                      16                                                        17

            2                      21                                                        25

            3                      16                                                        15

            4                      22                                                        24

            5                      19                                                        16

            6                      24                                                        29

            7                      17                                                        20

            8                      21                                                        22

            

            a. State the Null and the Alternative Hypotheses. (2)

            b. Gather the differences and show the test statistics and the find the standardized test statistic. (4)

            c. State the conclusion about the claim and how you made the decision. (4)

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