As our sample size increases whats the expected shape of, Basic Statistics

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As our sample size increases whats the expected shape of

We are sampling randomly from a distribution known to be bimodal.

a) As our sample size increases, what's the expected shape of the samples distribution?

b) What's the expected value of our sample s mean? Does the size of the sample matter?

c) How is the variability of this sample s mean related to the standard deviation of the population? Does the size of the sample matter?

d) How is the shape of the sampling distribution model affected by the sample size?

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