MAT 300 Assignment

MAT 300

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 1174cc (cubic centimeters) and that the standard deviation is 239 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 measurements lie between WHAT %  OF 576.5 cc and 1771.5 .

b) According to Chebyshev's theorem, at least of the measurements lie between WHAT %  OF 696 cc and 1652 .

(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the measurements lie between WHAT %   696 cc and 1652 .

(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the measurements lie between WHAT CC

 

The birth weights (to the nearest pound) of a sample of 29 newborn babies at a certain hospital are given in the following table, along with the number of babies at each birth weight.

Number of babies

Birth weight (in pounds)

6

4

7

6

16

7

Find the mean birth weight of these 29 babies. Round your answer to at least one decimal place.

A university's leadership council is made up of 12 members: 4 are students, 3 are teachers, and 5 are deans. A newspaper reporter is planning to select two of the council members for interviews. The first member will be chosen at random, and then the second member will be chosen at random from the remaining members. What is the probability that two teachers will be selected?

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