1. The variable x is skewed, based on the sample sizes given does the central limit...
1. The variable x is skewed, based on the sample sizes given does the central limit theorem tell us that the sample means is normally distributed?
(A) A sample size of 40?
(B) A Sample Size of 15?
Homework Answers
Solution:
The population is not normally distributed. It is skewed. In
this case the sampling distribution of sample means is normally
distributed if and only if sample size n 
30.
A) Here n = 40 > 30
So ,
YES , the central limit theorem tells us that the
sample means is normally distributed.
B) Here n = 15 < 30
So ,
NO , the central limit theorem does not tells us that the sample means is normally distributed.
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