In a sample of 10 randomly selected women, it was found thattheir mean height wa

Question

In a sample of 10 randomly selected women, it was found thattheir mean height was 63.4 inches. From previus studies , itis assumed that the standard deviation is 2.4 inches and that thepopulation of height measurements is normally distributed.
a) construct the 99% confidence interval for the population meanheight of women b) If the sample size was doubled to 20 women, what willbe the effect on the confidence interval? In a sample of 10 randomly selected women, it was found thattheir mean height was 63.4 inches. From previus studies , itis assumed that the standard deviation is 2.4 inches and that thepopulation of height measurements is normally distributed.
a) construct the 99% confidence interval for the population meanheight of women b) If the sample size was doubled to 20 women, what willbe the effect on the confidence interval?

Explanation / Answer

n=10, x-bar=63.4, s=2.4 (a)=0.01, t(0.005, df=n-1=9)=3.25 (check student t table) x-bar±t*s/sqrt(n) -- > 63.4 ± 3.25*2.4/sqrt(10)--> (60.93342, 65.86658) (b) Since n=20, the CI will become narrow.

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