Suppose that scores on the Scholastic Aptitude Test form a normal distribution with m = 500 and s = 100. A high school counselor has developed a special course designed to boost SAT scores. A random sample of 16 students is selected to take the course and then the SAT. The sample had an average score of x-bar = 544. Does the course boost SAT scores? Test at a = 0.01. Show all steps.

1.State the Null and Alternative Hypothesis

2.Find the Standard Error of the MeanM =

3.Find the Standard Error Z-Score (STANDARD SCORE)SE z-score =

4.Use the Alpha-Level Z-Score & STANDARD SCORE to Accept or Reject H0 (sketch the graph)

5.Conclusion