SOLUTION: According to The World Factbook, 2004, the total fertility rate (estimated mean number of children born per woman) for Madagascar is 6.1. Suppose that the standard deviation of the

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Question 1109632: According to The World Factbook, 2004, the total fertility rate (estimated mean number of children born per woman) for Madagascar is 6.1. Suppose that the standard deviation of the total fertility rate is 3.6. The mean number of children for a sample of 211 randomly selected women is one value of many that form the SDSM.
(a) What is the mean value for this sampling distribution? (Give your answer correct to one decimal place.)
(b) What is the standard deviation of this sampling distribution? (Give your answer correct to two decimal places.)

Answer by stanbon(75887) About Me  (Show Source):
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According to The World Factbook, 2004, the total fertility rate (estimated mean number of children born per woman) for Madagascar is 6.1. Suppose that the standard deviation of the total fertility rate is 3.6.
The mean number of children for a sample of 211 randomly selected women is one value of many that form the SDSM.
(a) What is the mean value for this sampling distribution? (Give your answer correct to one decimal place.)
Ans: The mean of the sample means = the mean of the population
Ans:: 6.1
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(b) What is the standard deviation of this sampling distribution? (Give your answer correct to two decimal places.)
Ans: The std of the sample means = (std of pop)/sqrt(sample size)
Ans: std of sample means = 3.6/sqrt(211)
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Cheers,
Stan H.
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