1 point) The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean µ=559.2μ=559.2 and standard deviation σ=26.8σ=26.8. (a) What is the probability that a single student randomly chosen from all those taking the test scores 563 or higher? ANSWER: 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 x¯x¯, of 35 students? The mean of the sampling distribution for x¯x¯ is: The standard deviation of the sampling distribution for x¯x¯ is: (c) What z-score corresponds to the mean score x¯x¯ of 563? ANSWER: (d) What is the probability that the mean score x¯x¯ of these students is 563 or higher? ANSWER: