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According to the 1993 World Factbook, the 1993 total fertility rate (mean number

ID: 3149533 • Letter: A

Question

According to the 1993 World Factbook, the 1993 total fertility rate (mean number of children born per woman) for Madagascar is 6.75. Suppose the standard deviation of the total fertility rate is 2.5. The mean number of children for a sample of 200 randomly selected women is one value of many that form the sampling distribution of sample means. What is the shape of this sampling distribution? (Answer in your own words I will grade this one, but the test will mark it wrong and I will override it.)

Explanation / Answer

By the central limit theorem (CLT), the sampling distribution of the sample means is normal (bell-shaped).

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