The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean u standard deviation o = - 27.6. (a) What is the probability that a single student randomly chosen from all those taking the test scores 559 or higher? ANSWER: 0.44381 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 ł, of 30 students? The mean of the sampling distribution for ž is: 5.03926 The standard deviation of the sampling distribution for is: 8.7875 (c) What z-score corresponds to the mean score ž of 559? (d) What is the probability that the mean score ã of these students is 559 or higher?