The 2002 General Social Survey asked, \"What do you think is the ideal number of

Question

The 2002 General Social Survey asked, "What do you think is the ideal number of children for a family to have?" The 486females who responded had a median of 2, mean of 2.96, and standard deviation of 1.8.

(a) What is the point estimate of the population mean? Round to two decimal places.


(b) Find the standard error of the sample mean. Round to three decimal places.

(c) The 95% confidence interval is (2.80, 3.12). Interpret.

With 95% confidence, the true mean falls outside this interval.With 95% confidence, the true mean falls above this interval.     With 95% confidence, the true mean falls below this interval.With 95% confidence, the true mean falls within this interval.

(d) Is it plausible that the population mean = 2? Explain.

No, 2 falls within this interval.No, 2 falls below this interval.     Yes, 2 falls below this interval.Yes, 2 falls within this interval.

Explanation / Answer

a) point estimate of the population mean =2.96

b)  standard error of the sample mean =std deviation/(n)1/2 =1.8/(486)1/2 =0.082

c)With 95% confidence, the true mean falls within this interval.

d) No, 2 falls below this interval

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