A population of values has a normal distribution with u = 20.3 and o = 86.5. You intend to draw a random sample of size n = 205. Find the probability that a single randomly selected value is greater than 29.4. P(X > 29.4) = Find the probability that a sample of size n = 205 is randomly selected with a mean greater than 29.4. P(M > 29.4) = 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.
A population of values has a normal distribution with u = 20.3 and o = 86.5. You intend to draw a random sample of size n = 205. Find the probability that a single randomly selected value is greater than 29.4. P(X > 29.4) = Find the probability that a sample of size n = 205 is randomly selected with a mean greater than 29.4. P(M > 29.4) = 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.
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 \( \mu = 20.3 \) and \( \sigma = 86.5 \). You intend to draw a random sample of size \( n = 205 \).
Find the probability that a single randomly selected value is greater than 29.4.
\[ P(X > 29.4) = \, \]
Find the probability that a sample of size \( n = 205 \) is randomly selected with a mean greater than 29.4.
\[ P(M > 29.4) = \, \]
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc982bc3f-99f0-4b2c-9f40-dc92d0e6c3f8%2F230d6fb4-2d14-4d1f-8f8c-4502b78ea5c7%2Fzjxk0r_processed.png&w=3840&q=75)
Transcribed Image Text:A population of values has a normal distribution with \( \mu = 20.3 \) and \( \sigma = 86.5 \). You intend to draw a random sample of size \( n = 205 \).
Find the probability that a single randomly selected value is greater than 29.4.
\[ P(X > 29.4) = \, \]
Find the probability that a sample of size \( n = 205 \) is randomly selected with a mean greater than 29.4.
\[ P(M > 29.4) = \, \]
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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