According to the pictures below,finish B and C C.Describe how your results relat

Question

According to the pictures below,finish B and C C.Describe how your results relate to the Central Limit Theorem Sulttle subtle Em Emphatis intense E 3. Using StatKey you are going to construct a sampling distribution for a mean. Select a population distribution that is NOT normal use the build in Hollywood Movies 2011 dataset. Using the same population distribution for each, construct the distribution of sample means for Na 6 and N 60. Take at least 5,000 samples. A. Include a screen shots of your parent population and your two sampling distributions here. tatKey Sampling Distribution for a Mean sampling Desplot of Mean

Explanation / Answer

B. For N=6, the distribution of sample mean is not exactly Normal. It is a bit positively skewed. Some distribution from exponential family will better fit the data.

For N=60, the distribution of the sample mean is Normal.

So the two distributions are not exactly same. If we keep on increasing N, the distribution tends more and more towards Normal.

C. As we keep on increasing N the distribution of sample mean tends to Normal. So for large N, the distribution will be approximately Normal. So the sampling distribution of the sample mean converges to Normal by CLT.

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