The Law School Admission Test (LSAT) is designed so that test scores are normally distributed. The mean LSAT score for the population of all test-takers in 2005 was 154.35 with a standard deviation of 5.62 soif you drew all possible random samples of size 100 from the population of LSAT test takers and plotted the values of the mean from each sample, the resulting distribution would be the sampling distribution of the mean. Would this sampling distribution be a normal distribution? Why or why not?