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

Answer 1

JPven =31 29.4 a) PCX36) 1-PCL536 -53),) 2914 リーP(Zく0,166千) 1-0 S662 O4338 b) 531 1 30 S.37 36-53) X-4 z 2.4Bo 0.9129 P(X36) PlZ0.2) 1-PCz O.9129) 1- 0.8194 0.1806