Suppose it is known that the income distribution in a particular region is right-skewed and bimodal. If bank economists are interested in estimating the mean income, which of the following is true?
A) Provided that the sample size is sufficiently large, the sampling distribution of will be approximately Normal with a mean equal to the population mean.
B) Provided that the sample size is sufficiently large, the sampling distribution of will be approximately Normal with a standard deviation equal to the population standard deviation.
C) The sampling distribution will also be right-skewed for large sample sizes.
D) The standard deviation of the sampling distribution of will be proportionally larger than the population standard deviation, depending on the size of the sample.
E) The sampling distribution will also be bimodal for large sample sizes.
Correct Answer:
Verified
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