Question: 1. An MBA program requires GMAT score of 670 to be admitted. The XYZ., Inc. wants to know if the average GMAT score for the students who have taken their prep course meets the above standards. They have collected random samples of ten GMAT scores of their students. The following scores were obtained:

500, 600, 700, 750, 700, 650, 620, 450, 800, 400.

If GMAT score normally distributed with σ = 80

a) Find a 98% Confidence interval for the average GMAT score of the students.

b) Based on your answer in Part “a”, do you think the students who take the XYZ Prep Course meet the MBA requirement