. From the time of early studies by Sir Francis Galton in the late nineteenth ce
ID: 3321722 • Letter: #
Question
.
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 1170 cc (cubic centimeters) and that the standard deviation is 279 cc. Complete the following statements about the distribution of cranial capacity measurements for modern, adult males (a) According to Chebyshev's theorem, at least 84% of the measurements lie between Icc and [cc (Round your answer to the nearest integer.) (b) According to Chebyshev's theorem, at least ? 612 cc and 1728 or the measurements lie between (c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately [2 of the measurements lie between 612 cc and 1728 (d) Suppose that the distribution is bell-shaped. According to the empirical rule approximately 68% of the measurements ile between Occ andExplanation / Answer
a) from Cheby chev 84% values are 2.5 std deviation from mean ;
hence measurement =1170 -/+ 2.5*279 =472.5 ; 1867.5
b)
as 612 and 1728 are 2 std deviation from mean hence 75% of the measurement.............
c) as per empirical ruke 95% of the measurement.........
d) from empriitcal 1 std deviation values from mean are 68%
hence measurement =1170 -/+ 1*279 =891 ; 1449
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.