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Draw the picture of the distribution of the test statistic

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Kitti wants to study the effectiveness of the Statistics course to improve students' scores included a pre-testing score and post-testing score of each student. To compare the differences, I computed (post-testing score - pre-testing score). Seven students were randomly selected and completed both tests. The results follow. Let 1-α = 0.99 and α = 0.01. Students Pre-Testing score Post-Testing score 1 6 8 2 5 5 3 10 10 4 7 10 5 6 8 6 5 6 7 2 8 *Make sure that you set up the hypothesis testing correctly (two-tails, left-tail or right tail)

a. What are the null and alternative hypotheses?

b. Draw the picture of the distribution of the test statistic. Include region (s) of rejection and non- rejection.

c. What is the critical value of the test statistic?

d. What is the value of the test statistic to test for differences in the tests?

e. What is the P-value for differences in the tests? f. State the decision rule and your conclusion.

Reference no: EM132529230

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