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20. -3 points My Notes Ask Your Teacher According to The World Factbook, 2004, t

ID: 3352289 • Letter: 2

Question

20. -3 points My Notes Ask Your Teacher According to The World Factbook, 2004, the total fertility rate (estimated mean number of children born per woman) for Madagascar is 6.4. Suppose that the standard deviation of the total fertility rate is 2.5. The mean number of childrern for a sample of 198 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.) (c) Describe the shape of this sampling distribution. O skewed right O approximately normal O skewed left O uniform You may need to use the Z Table to answer this question.

Explanation / Answer

Given :-. Sample size ( n) = 198, mu= 6.4 , sigma= 2.5

a) sample distribution of mean (mux) = 6.4

b) sample standard deviation (Sigmax) =( sigma /n)

= ( 2.5/198) = 0.18

c) The shape of this same distribution approximately normal.