Introduction to Probability and Statistics for Engineers and Scientists

(Sean Pound) #1
Problems 51

0 50 100150 200250 300350 400450500550
Millions of dollars
Source: Chart prepared by U.S. Bureau of the Census.

Johns Hopkins University
Mass. Institute of Technology
Stanford University
University of Washington
University of Michigan
University of CA–Los Angeles
University of CA–San Diego
University of CA–San Francisco
University of Wisconsin–Madison
Columbia University–Main Division
University of Pennsylvania
University of Minnesota
Harvard University
Yale University
University of Pittsburgh

Top 15 universities — federal research and development obligations: 1992.


(a) Which universities were given more than $225 million?
(b) Approximate the sample mean of the amounts given to these universities.
(c) Approximate the sample variance of the amounts given to these universities.
(d) Approximate the quartiles of the amounts given to these universities.
22.Use the part of the table given in Problem 4 that gives the percentage of workers
in each state that use public transportation to get to work to draw a box plot of
these 50 percentages.
23.The following table gives the numbers of dogs, categorized by breed, registered in
the American Kennel Club in 2000. Represent these numbers in a box plot.
24.The average particulate concentration, in micrograms per cubic meter, was
measured in a petrochemical complex at 36 randomly chosen times, with the
following concentrations resulting:

5, 18, 15, 7, 23, 220, 130, 85, 103, 25, 80, 7, 24, 6, 13, 65, 37, 25,
24, 65, 82, 95, 77, 15, 70, 110, 44, 28, 33, 81, 29, 14, 45, 92, 17, 53

(a) Represent the data in a histogram.
(b) Is the histogram approximately normal?
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