A high school teacher has designed a new course intended to help students prepare for the mathematics section of the SAT. A sample of n = 20 students is recruited to for the course and, at the end of the year, each student takes the SAT. The average score for this sample is M = 562.

For the general population, scores on the SAT are standardized to form a normal distribution with μ = 500 and σ = 100.

a. Can the teacher conclude that students who take the course score significantly higher than the general population? Use a one-tailed test with

α = .01.

b. Compute Cohen’s d to estimate the size of the effect.

c. Write a sentence demonstrating how the results of the hypothesis test and the measure of effect size would appear in a research report.