A high school teacher has designed a new course intended to help prepare students for the mathematics section of the SAT. A sample of n= 20 students is recruited to for the course and at the end of...

A high school teacher has designed a new course intended to help prepare students 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 from a normal distribution with mean = 500 and sigma = 100.

a) can the teacher conclude that students who take the course significantly higher than the general population? Use a one tailed test with (x = 0.01

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 effects size would appear in a research project.