Two new short courses have been proposed for helping students who suffer from severe math phobia, scoring at least 8 on a measure of math phobia that falls between 0 and 10 (based on responses to 10 questions). A sample of 10 such students were randomly allocated to the two courses. Following the course, the drop in math phobia score was recorded. The sample values were Course A: 0, 2, 2, 3, 3 Course B: 3, 6, 6, 7, 8

(a) Make an inferential comparison of the means, assuming equal population standard deviations. Interpret your results.

(b) Find and interpret the effect size ( ¯yB − ¯yA)/s.

(c) Using software, report and interpret the P-value for the two-sidedWilcoxon test.

(d) Estimate and interpret the effect size P(yB > yA).