Question #8 / 20 From the time of early studies by Sir Francis Galton in the lat
ID: 3052416 • Letter: Q
Question
Question #8 / 20 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 1091 cc (cubic centimeters) and that the standard deviation is 244 cc. Complete the following statements about the distribution of cranial capacity measurements for modern, adult males. (a) According to Chebyshev's theorem, at least 2 of the measurements lie between 603 cc and 1579. (b) According to Chebyshev's theorem, at least 2 of the measurements lie between 359 cc and 1823. (C) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 17 of the measurements lie between 603 cc and 1579. (d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the measurements lie between 0cc and [ cc. Clear Undo HelpExplanation / Answer
a) as 603 and 1579 falls 2 standard deviaion from mean tehrefore Answer is =(!-1/22)*100 = 75%
b)
as359 and 1823 falls 3 standard deviaion from mean tehrefore Answer is =(1-1/32)*100 = 88.89%
c)from empirical rule: answer is 95%
d) as 68 % values fall within 1 std deviation from mean
hence answer is =1091-/+244 =between 847 cc and 1335 cc
( please revert for any clarification required)