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Concept explainers
(a)
To calculate: The population mean and the standard deviation of the number of degrees awarded each year at each university for the following frequency distribution table:
University A |
University B |
Number of degree Number of years |
Number of degree Number of years |
3 5 |
3 5 |
4 7 |
4 10 |
5 8 |
5 3 |
6 2 |
6 3 |
7 1 |
7 0 |
8 2 |
8 4 |
(b)
The University producing more degrees per year on average. University A has mean of the number of degrees awarded at the end of each year is 4.72 and University B has mean of the number of degrees awarded at the end of each year is 4.8.
(c)
The University producing more consistent numbers of degrees per year. University A has the variance of 1.96 and that of University B is 2.72.
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Chapter 7 Solutions
Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)
- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?arrow_forwardCigarette Smokers The following table gives a recent estimate in millions of the smoking status among persons 25 years of the age and over their highest level of education. Source: National health interview survey. Education Current smoker Former smoker Non smoker Total Less than a high school diploma 7.90 6.66 14.12 28.68 High school diploma or GED 14.38 13.09 25.70 53.17 Some collage 12.41 13.55 28.65 54.61 Bachelors degree or higher 4.97 12.87 38.34 56.18 Total 39.66 46.17 106.81 192.64 a. Find the probability that a person is a current smoker. b. Find a probability that a person has less than a high school diploma. c. Find a probability that a person is a current smoker and has less than a high school diploma. d. Find the probability that a person is a current smoker, given that the person has less than a high school diploma. e. Are the events current smoker and less than a high school diploma independent events?arrow_forwardOil ProductionThe following table shows the amount of crude oil in billions of barrels produced in the United States in recent years. Source: U.S. Energy Information Administration. Year Crude Oil Produced 2002 2.097 2003 2.060 2004 1.989 2005 1.893 2006 1.857 2007 1.853 2008 1.830 2009 1.954 2010 2.000 2011 2.063 2012 2.377 In this exercise we are interested in the total amount of crude oil produced over the 10-year period from mid-2002 to mid-2012, using the data for the 11 years above. One approach is to sum up the numbers in the second column, but only count half of the first and last numbers. Give the answer to this calculation. Approximate the amount of crude oil produced over the 10-year period 2002-2012 by taking the average of the left endpoint sum and the right endpoint sum. Explain why this is equivalent to the calculation done in part a. This is also equivalent to a formula known as the trapezoidal rule, discussed in the next chapter. If your calculator has a cubic regression feature, find the best-fitting cubic function for these data, letting t=0 correspond to 2000. Then integrate this equation over the interval [2.12] to estimate the amount of crude oil produced over this time period. Compare with your answer to part a.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
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