The Educational Testing Service conducted a study comparing the impact of two prep courses on standardized test scores. A random sample of 31 students completed prep course 1, while a separate random sample of 33 completed course 2. At the end of each class, students completed a standardized college entrance exam.

1. Assume sample 1 represents the course 1 students and sample 2 represents the course 2 students. To test whether there is a difference in mean test scores for all students completing course 1 and course 2, the appropriate hypotheses are: a. Ho: 1 = 2 versus Ha: 1 2 b. Ho: 1 2 versus Ha: 1 = 2 c. Ho: 1 = 2 versus Ha: 1 > 2 d. Ho: 1 = 2 versus Ha: 1 < 2

2. A two-sample t-test was conducted and the results are contained in the table below. From these results, what is the appropriate decision regarding the test using a 5% significance level? a. Reject Ho because the p-value (0.0143) < 0.05 b. Reject Ho because the p-value (0.0143) > 0.05 c. Fail to reject Ho, because the p-value (0.0143) > 0.05 d. Fail to reject Ho because the p-value (0.0143) < 0.05

3. (Bonus) A two-sample t-test was conducted and the results are contained in the table above. From these results, what is the appropriate conclusion regarding the test using a 5% significance level? a. Conclude that there is sufficient evidence of a difference in the standardized test scores of all students completing course 1 as opposed to course 2. b. Conclude that there is sufficient evidence of a difference in the mean standardized test score of all students completing course 1 as opposed to course 2. c. Conclude that there is NOT sufficient evidence of a difference in the standardized test scores of all students completing course 1 as opposed to course 2 d. Conclude that there is NOT sufficient evidence of a difference in the mean standardized test scores of all students completing course 1 as opposed to course 2.