According to The World Factbook , 2004, the total fertility rate (estimated mean

Question

According to The World Factbook, 2004, the total fertility rate (estimated mean number of children born per woman) for Madagascar is 7. Suppose that the standard deviation of the total fertility rate is 2.2. The mean number of children for a sample of 189 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.)

Explanation / Answer

According to The World Factbook, 2004, the total fertility rate (estimated mean number of children born per woman) for Madagascar is 7.

Suppose that the standard deviation of the total fertility rate is 2.2.

That is here mu = 7 and sigma = 2.2

The mean number of children for a sample of 189 randomly selected women is one value of many that form the SDSM.

n = 189

By using CLT we can say that,

Xbar follows normal distribution with mean is population mean and standard deviation is sigma/sqrt(n).

(a) What is the mean value for this sampling distribution?

The mean value for this sampling distribution is the population mean that is 7.

(b) What is the standard deviation of this sampling distribution?

standard deviation = sigma / sqrt(n) = 2.2 / sqrt(189) = 0.16

The standard deviation of this sampling distribution is 0.16.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.