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.
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
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.
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