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A random sample of n = 4 scores is obtained from a normal population with u = 30 and o = 8. What is the probability that the sample mean will be less than M = 22? O p = 0.00003 p = 0.0228

A random sample of n = 4 scores is obtained from a normal population with u = 30 and o = 8. What is the probability that the sample mean will be less than M = 22? O p = 0.00003 p = 0.0228

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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**Question:** A random sample of \( n = 4 \) scores is obtained from a normal population with \( \mu = 30 \) and \( \sigma = 8 \). What is the probability that the sample mean will be less than \( M = 22 \)? - \( p = 0.00003 \) - \( p = 0.0228 \) - \( p = 0.1587 \) - \( p = 0.3085 \) **Explanation:** This question involves calculating the probability that the sample mean is less than a specified value when sampling from a normal distribution. The population has a mean (\( \mu \)) of 30 and a standard deviation (\( \sigma \)) of 8. The sample size is 4. To find the probability of a sample mean being less than 22, you may need to use the standard error and z-score calculation.
Transcribed Image Text:**Question:** A random sample of \( n = 4 \) scores is obtained from a normal population with \( \mu = 30 \) and \( \sigma = 8 \). What is the probability that the sample mean will be less than \( M = 22 \)? - \( p = 0.00003 \) - \( p = 0.0228 \) - \( p = 0.1587 \) - \( p = 0.3085 \) **Explanation:** This question involves calculating the probability that the sample mean is less than a specified value when sampling from a normal distribution. The population has a mean (\( \mu \)) of 30 and a standard deviation (\( \sigma \)) of 8. The sample size is 4. To find the probability of a sample mean being less than 22, you may need to use the standard error and z-score calculation.
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