Chapter 8, Problem 17P

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 $\mu =500$ and $\sigma =100$ .

a. Can the teacher conclude that students who take the course score significantly higher than the general population? Use a one-tailed test with $\alpha =.01$ .

h. 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.