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
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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