A math 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 l1 = 51 1. The teacher obtains a random sample of 1800 students, puts them through the review class, and nds that the mean math soore of the 1300 students is 51? with a standard deviation of 1 1?. Complete parts (a) through {d} below