(1 point) The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean = 542.5 and standard deviation = 29.7. (a) What is the probability that a single student randomly chosen from all those taking the test scores 547 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test. (b) What are the mean and standard deviation of the sample mean score , of 30 students? The mean of the sampling distribution for is: The standard deviation of the sampling distribution for is: (c) What z-score corresponds to the mean score of 547? ANSWER: (d) What is the probability that the mean score of these students is 547 or higher? ANSWER: