To estimate the mean score u of those who took an admission college test, you will obtain the scores of a simple random sample (SRS) of n = 30 students. From previously published information, you know that the test scores are approximately Normal, with a mean of 60 and a standard deviation of about 12. a) (5 pts) What is the approximate distribution of the mean test score, 3?, according to the central limit theorem? b) (5 pts) What is the approximate probability that a? is above 55? Use Table A. c) (5 pts) How large an SRS do you need to reduce the standard deviation of the sample mean score to 1