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A study of the ability of individuals to walk in a straight line (\"Can We Reall

ID: 2918394 • Letter: A

Question

A study of the ability of individuals to walk in a straight line ("Can We Really Walk Straight?" Amer. Journal of Physical Anthropology, 1992) reported the accompanying data on cadence (strides per second) for a sample of n = 20 randomly selected healthy men. Give an 80% confidence interval for the mean cadence speed. Give a 96% confidence interval for the mean cadence speed.

Explanation / Answer

n=20, xbar=0.9255, s=0.081 (a)=0.2, t(0.1, df=n-1=19)=1.33(check student t table) The 80% CI is xbar± t*s/n -->0.9255 ± 1.33*0.081/sqrt(20) -->( 0.901, 0.949) (b)=0.04, t(0.02, df=n-1=19)=2.2(check student t table) The 96% CI is xbar± t*s/n -->0.9255 ± 2.2*0.081/sqrt(20) -->( 0.8856, 0.9653)