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=20students 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=500 and=100. Can the teacher conclude that students who take the course score significantly higher than the general population? use one-tailed test with=0.01

1) State hypothesis with symbols and statement (1point)

2) find the z-critical boundary score (1ppoint)

3) compute the z-statistic value (show all your calculation) (1point)

4) make a decision (1 point)

5) Do you need to calculate Cohen's d? why? if so, what is the Cohen's d? (1point)