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The Central Limit Theorem suggests that as the sample size increases the distribution of the sample...

The Central Limit Theorem suggests that as the sample size increases the distribution of the sample averages approaches a normal distribution, regardless of the nature of the distribution of the variable itself.

true or false

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Answer #1

The Central Limit Theorem suggests that as the sample size increases the distribution of the sample averages approaches a normal distribution, regardless of the nature of the distribution of the variable itself. That is-

If X follows a distribution with mean and standard deviation , and x1, x2, x3 ,................xn be the random sample from X then the distribution of sample mean x bar follows Normal distribution with mean and standard deviation / sqrt(n)

Hence This is TRUE.

Hope this will help you. Thank you :)

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