The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean u = 533.8 and standard deviation o = 25.1. Round your z-scores to 2 decimal places. Give your answers to at least 4 decimal places. (a) What is the probability that a single student randomly chosen from all those taking the test scores 537 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, of 35 students? The mean of the sampling distribution for i is: The standard deviation of the sampling distribution for x is: (c) What z-score corresponds to the mean score x of 537? ANSWER:

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