Suppose It Is Known That the Income Distribution in a Particular

question 3

Multiple Choice

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 for y will be approximately Normal with a mean equal to the population mean.
• B) Provided that the sample size is sufficiently large, the sampling distribution for y 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 for y 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.

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