A group of 8 students were given the same standardized test twice to see whether

Question

A group of 8 students were given the same standardized test twice to see whether retaking the test affected the score. The table gives the score improvements for the 8 students. Complete parts a through c. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean scores from the first and second tests (retake) differ? (Note: d = 50 and s_d = 51.55.) Preliminary data analyses indicate that use of a paired t-test is reasonable. What are the hypotheses for the t-test? (Round to three decimal places as needed.) Find the critical value(s). The critical value(s) is/are. (Round to three decimal places as needed. Use a comma to separate answers as needed.)

Explanation / Answer

The critical values are -3.182,3.182

Values are obtained using t-distribution tables looking at 0.05 significance level and (n-1)=(4-1)=3 degrees of freedom.

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