For the follow questions please record your answers to at least three decimal places. The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean p. = 532.7 and standard deviation 0' = 25.1. (a) What is the probability that a single student randomly chosen from all those taking the test scores 536 or higher? ANSWERS For parts (b) through (d), consider a simple random sample (SR8) of 30 students who took the test. (b) What are the mean and standard deviation ofthe sample mean score .11 of 30 students? The mean of the sampling distribution for :E is: The standard deviation ofthe sampling distribution for 2': is: (c) What zscore corresponds to the mean score .1? of 536? ANSWERS (d) What is the probability that the mean score 5 oftnese students is 536 or higher