A population of values has a normal distribution with \( \mu = 245.3 \) and \( \sigma = 80.6 \). You intend to draw a random sample of size \( n = 179 \).Find the probability that a single randomly selected value is between 227.2 and 241.1.\[ P(227.2 < X < 241.1) = \boxed{0.2514} \]Find the probability that a sample of size \( n = 179 \) is randomly selected with a mean between 227.2 and 241.1.\[ P(227.2 < M < 241.1) = \boxed{0.0016} \]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.

Answered: A population of values has a normal…

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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