Problem 2a. A professor wants to know if her introductory statistics class has a good grasp of basic math. Six students are chosen at random from the class and given a math proficiency test. The professor wants the class to be able to score above 70 on the test. The six students get scores of 62, 92, 75, 68, 83, and 95. The scores are normally distributed. Test the claim that the mean score is above 70 at a 10% alpha level.
