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25 is Find the probability that a sample of size n randomly selected with a mean less than 207.2. %3D

25 is Find the probability that a sample of size n randomly selected with a mean less than 207.2. %3D

MATLAB: An Introduction with Applications
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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**Apply the Central Limit Theorem for Sample Means** A population of values has a normal distribution with \( \mu = 219 \) and \( \sigma = 73.6 \). You intend to draw a random sample of size \( n = 25 \). Find the probability that a sample of size \( n = 25 \) is randomly selected with a mean less than 207.2. \[ P(M < 207.2) = \] Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Transcribed Image Text:**Apply the Central Limit Theorem for Sample Means** A population of values has a normal distribution with \( \mu = 219 \) and \( \sigma = 73.6 \). You intend to draw a random sample of size \( n = 25 \). Find the probability that a sample of size \( n = 25 \) is randomly selected with a mean less than 207.2. \[ P(M < 207.2) = \] Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
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