10
QuizMultiple Choice

Testing a Claim about a Mean Difference

Question 10 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

The principal of a large high school wants to improve student test scores, so he asks one of his science teachers to try a new method of teaching. Thirty-one students take a pretest on the first day of science class. After 6 weeks using the new instruction, the same students take a posttest. The mean difference (posttest – pretest) in scores is 4.8 points with a standard deviation of 9.7 points. Assuming the conditions for inference are met, what is the P-value for testing the hypotheses H0 :μdiff = 0; Ha :μdiff > 0?Find the t-table here.

Answer
A
0.0049
B
0.0099
C
0.9901
D
0.9951