Stats help needed with poisson distribution?

Posted on 2016-03-26 14:24:00 in Statistics by MICHELLE

Suppose we run the Central Limit simulation, selecting samples from an underlying population of data that has a Poisson distribution. What is the effect of increasing the size of the sample over which the sample mean is calculated (and keeping the number of replications fixed)? 
A. Increasing the sample size will reveal more of the true pattern of distribution of xÌ…. 
B. Increasing the sample size will not affect the distribution of xÌ…. 
C. Increasing the sample size will give us a better estimate of the true mean and the distribution of xÌ… will be more Uniform 
D. Increasing the sample size will result in xÌ… having a distribution that is closer to the Poisson distribution 
E. Increasing the sample size will result in xÌ… having a distribution that is a closer approximation of the Normal distribution

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