A population of values has a normal distribution with u random sample of size n = 86. 53.8 and o = 31.3. You intend to draw a What is the mean of the distribution of sample means? HX = E(X) = What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) SD(X) =
A population of values has a normal distribution with u random sample of size n = 86. 53.8 and o = 31.3. You intend to draw a What is the mean of the distribution of sample means? HX = E(X) = What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) SD(X) =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A population of values has a normal distribution with \( \mu = 53.8 \) and \( \sigma = 31.3 \). You intend to draw a random sample of size \( n = 86 \).
What is the mean of the distribution of sample means?
\[
\mu_{\bar{X}} = E(\bar{X}) = \_\_\_\_
\]
What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
\[
\sigma_{\bar{X}} = SD(\bar{X}) = \_\_\_\_
\]
SHOWING WORK IS REQUIRED.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0393b910-875a-4ed6-a578-5b5396be78bf%2F86c6e949-b2e0-485f-9695-f526e8627f6b%2F4y192dh_processed.png&w=3840&q=75)
Transcribed Image Text:A population of values has a normal distribution with \( \mu = 53.8 \) and \( \sigma = 31.3 \). You intend to draw a random sample of size \( n = 86 \).
What is the mean of the distribution of sample means?
\[
\mu_{\bar{X}} = E(\bar{X}) = \_\_\_\_
\]
What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
\[
\sigma_{\bar{X}} = SD(\bar{X}) = \_\_\_\_
\]
SHOWING WORK IS REQUIRED.
Expert Solution

Step 1
The random variable X follows normal distribution.
The population mean is 53.8.
The population standard deviation is 31.3.
The sample size is 86.
We have to find the mean and standard deviation of the sample means.
Step by step
Solved in 3 steps with 2 images

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