A population of values has a normal distribution with µ = 172.3 and o = 82. You intend to draw a random sample of size n = 228. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is greater than 179.9. P(X> 179.9) = 0.4631 X %3D
A population of values has a normal distribution with µ = 172.3 and o = 82. You intend to draw a random sample of size n = 228. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is greater than 179.9. P(X> 179.9) = 0.4631 X %3D
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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![A population of values has a normal distribution with \(\mu = 172.3\) and \(\sigma = 82\). You intend to draw a random sample of size \(n = 228\). Please show your answers as numbers accurate to 4 decimal places.
Find the probability that a single randomly selected value is greater than 179.9.
\[ P(X > 179.9) = 0.4631 \quad \textcolor{red}{\text{✗}} \]
Find the probability that a sample of size \(n = 228\) is randomly selected with a mean greater than 179.9.
\[ P\left(\bar{x} > 179.9\right) = 0.0808 \quad \textcolor{green}{\text{✓}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F453dfc5d-7095-461f-b703-2b986ba42039%2F3ae8afc6-e106-413a-9ce2-06f7d38ec4af%2Fihktrhr_processed.png&w=3840&q=75)
Transcribed Image Text:A population of values has a normal distribution with \(\mu = 172.3\) and \(\sigma = 82\). You intend to draw a random sample of size \(n = 228\). Please show your answers as numbers accurate to 4 decimal places.
Find the probability that a single randomly selected value is greater than 179.9.
\[ P(X > 179.9) = 0.4631 \quad \textcolor{red}{\text{✗}} \]
Find the probability that a sample of size \(n = 228\) is randomly selected with a mean greater than 179.9.
\[ P\left(\bar{x} > 179.9\right) = 0.0808 \quad \textcolor{green}{\text{✓}} \]
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