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Indicate whether the following statement is true or false. The sampling distribution of the sample mean...

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.

Math   Statistics-And-Probability   
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Answer #2

Solution:

Given sentence is

TRUE

Explanation :

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

True

answered by: anonymous
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