Indicate whether the following statement is true or false.
The sampling distribution of the sample mean (x-bar) will at least approximately be normally distributed either if X is normally distributed or if the sample size (n) is larger than 30.
Given sentence is
Let X be a r.v.
If we take repeated samples form this population , then we obtain various values of sample means.This is sampling distribution of .
If X follows normal distribution , then the sampling distribution of is approximately normal(whatever the sample size)
If distribution of X is not normal, and sample size n > 30 then also the sampling distribution of is approximately normal.
So , answer is
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