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 so deviation 0' = 27.4. hooi had a normal distribution with mean p, = 542.2 and standard (a) What is the probability that a single student randomly chosen from all those taking the test scores 549 or- higher? For parts (b) through (d), consider a simple random sample (SR8) of 35 students who took the test. (b) What are the mean and standard deviation of the sample mean score 5, of 35 students? The mean of the sampling distribution for a: is: The standard deviation of the sampling distribution for m is: (c) What zscore corresponds to the mean score 1% of 549'? ANSWER: (d) What is the probability that the mean score i of these students is 549 or higher