Answered: To estimate the mean score μμ of those…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To estimate the mean score μμ of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.56.5 . You want your sample mean ¯xx¯ to estimate μμ with an error of no more than 0.90.9 point in either direction.

(a) What standard deviation must ¯xx¯ have so that 99.7%99.7% of all samples give an ¯xx¯ within 0.90.9 point of μμ ? Use the 68–95–99.768–95–99.7 rule. (Enter your answer rounded to four decimal places.)

(b) How large an SRS do you need in order to reduce the standard deviation of ¯xx¯ to the value you found? (Enter your answer rounded to the nearest whole number.)

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