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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Question

A population of values has a normal distribution with μ=129.7μ=129.7 and σ=7.7σ=7.7. You intend to draw a random sample of size n=10n=10.

Find the probability that a single randomly selected value is less than 130.9.
P(X < 130.9) =

Find the probability that a sample of size n=10n=10 is randomly selected with a mean less than 130.9.
P(M < 130.9) =

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.

Expert Solution

Step 1

Given Information:

μ=129.7

$σ = 7.7$

n = 10

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