Demonstrate Central Limit Theorem(CLT) of the sample mean by sampling a 100 uniform distribution data with 50 variables. Verify the result by computing the sample mean, sample variance and sketch the...
Demonstrate Central Limit Theorem(CLT) of the sample mean by sampling a 100 uniform distribution data with 50 variables. Verify the result by computing the sample mean, sample variance and sketch the histogram on Excel/Megastat.
Hint: Generate 100 datasets of 50 variables and calculate 50 sample means to determine the distribution of X̅ and SX̅. It should converge to a model that we’ve learned in class.
Homework Answers
solution:
given that
Above histogram of sample mean is based mean of 100 data set each contains 50 values .
By central limit theorem
Sample mean is normally distributed with mean 0.5 and standard deviation 0.2987.
Here on basis of simulation we get sample mean 0.4901 and standard deviation 0.045
thank you
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Demonstrate Central Limit Theorem(CLT) of the sample mean by sampling a 100 uniform distribution data with 50 variables. Verify the result by computing the sample mean, sample variance and sketch the...
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Question 1, 2
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