DISTRIBUTION OF SAMPLE MEANS: According to the Central Limit Theorem, for large samples (n ≥ 30), the distribution of the sample means will approach a normal distribution even if the original distribution is not normally distributed. True False
DISTRIBUTION OF SAMPLE MEANS: According to the Central Limit Theorem, for large samples (n ≥ 30), the distribution of the sample means will approach a normal distribution even if the original distribution is not normally distributed. True False
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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DISTRIBUTION OF SAMPLE MEANS: According to the Central Limit Theorem, for large samples (n ≥ 30), the distribution of the sample means will approach a normal distribution even if the original distribution is not
True
False
Expert Solution
Step 1
Central limit theorem:
If the size of the samples taken from the population are sufficiently large (>30) then the mean of all the samples taken would be approximately same as the population mean. Also the sampling distribution would be approximately normal.
- The population is normal
- The sample size is greater than 30.
- If the sample size is large greater than 30, the sampling distribution of sample mean is always approximated to normal.
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