Amath teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. based on data from the administrator of the exam, scores are normally distributed with mu equals516. the teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 521 with a standard deviation of 111. complete parts (a) through (d) below. a) state the null and alternative hypothesis. let u be the mean score.