Statistics For Business And Economics
From the time of early studies by Sir Francis Galton in the late nineteenth century linking it with mental ability, the cranial capacity of the human skull has played an important role in arguments about IQ, racial differences, and evolution, sometimes with serious consequences. (See, for example, S.J. Gould, "The Mismeasure of Man," 1996.)
Suppose that the mean cranial capacity measurement for modern, adult males is 1183 cc (cubic centimeters) and that the standard deviation is 257 cc.Complete the following statements about the distribution of cranial capacity measurements for modern, adult males.
(a) According to Chebyshev's theorem, at least of the measuremnets lie between 669 cc and 1697 cc
(b) According to Chebyshev's theorem, at least 84% of the measurements lie between O cc and O cc. (Round your answer to the nearest integer.)
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?v of the measurements lie between 669 cc and1697 cc.
(c) Suppose that the distribution is bell-shaped. According to the empiricalrule, approximately 99.7% of the measurements lie between O cc and O cc.
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