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A sample of n=64 butterflies was collected independently from a population. It is known that the...

A sample of n=64 butterflies was collected independently from a population. It is known that the distribution of the wing length has a mean of 2 inches and a variance of 8 square inches. The shape of the distribution is unknown.

Calculate the mean and variance of the sample mean X bar.

What is the (approximate) probability that the sample mean X bar falls between 1.8 and 2.4 inches?

Math   Statistics-And-Probability   
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