(1 pt) In a very large population, the distribution of annual income is skewed,
ID: 3382115 • Letter: #
Question
(1 pt) In a very large population, the distribution of annual income is skewed, with a long right tail. We take a simple random sample of n people from this population and record the n incomes. We expect a histogram of the n incomes in the sample
A. will resemble a Normal distribution provided n is large.
B. will resemble a Uniform distribution for all values of n.
C. will not resemble a Normal distribution whatever the value of n.
D. will resemble a Uniform distribution provided n is large.
E. will resemble a Normal distribution for all values of n.
To my surprise, the answer is not A.
Explanation / Answer
A. will resemble a Normal distribution provided n is large.
the answer is A because every distribution tend to normality when sample drawn from distribution is large by central limit theorem
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