(1 point) The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean / = 552.2 and standard deviation o = 26.2. (a) What is the probability that a single student randomly chosen from all those taking the test scores 556 or higher? ANSWER: 55.6 For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test. (b) What are the mean and standard deviation of the sample mean score , of 35 students? The mean of the sampling distribution for T is: The standard deviation of the sampling distribution for IT is: 4.41 (c) What z-score corresponds to the mean score " of 556? ANSWER: 0 859 (d) What is the probability that the mean score I of these students is 556 or higher? ANSWER: 4.42 Note: You can earn partial credit on this