The following are scores for 8 students on two different exams.

a. Calculate the paire d-samples t statistic for these exam scores.

b. Using a two-tailed test and a p level of 0.05, identify the critical t values and make a decision regarding the null hypothesis.

c. Assume you instead collected exam scores from 1000 students whose mean difference score and standard deviation were exactly the same as for these 8 students. Using a two-tailed test and a p level of 0.05, identify the critical t values and make a decision regarding the null hypothesis.

d. How did changing the sample size affect the decision regarding the null hypothesis?

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