# Problem 1. 531.1 and standard deviation a-29.4 (2 points) The scores of students on the SAT...

###### Question:

Problem 1. 531.1 and standard deviation a-29.4 (2 points) The scores of students on the SAT colloge entrance examinations at a certain high school had a normal distribution with mean (a) What is the probability that a single student randomly chosen from all those taking the test scores 536 or higher? ANSWER 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 , of 30 students? The mean of the sampling distribution for is The standard deviation of the sampling distribution for is (c) What z-score comesponds to the mean score of 5362 ANSWER (d) What is the probability that the mean score 2 of these students is 536 or higher? ANSWER Note You can ean partal credt on this proolem

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