12th Edition

ISBN: 9780357724880

Author: BRASE

Publisher: CENGAGE L

Concept explainers

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 3.3, Problem 11P

Auto Insurance: Interpret Graphs Consumer Reports rated automobile insurance companies and listed annual premiums for top-rated companies in several states. Figure 3-9 shows box-and-whisker plots for annual premiums for urban customers (married couple with one 17-year-old son) in three states. The box-and-whisker plots in Figure 3-9 were all drawn using the same scale on a TI-84Plus/TI-83Plus/TI-nspire calculator.

FIGURE 3-9

Insurance Premium (annual, urban)

Chapter 3.3, Problem 11P, Auto Insurance: Interpret Graphs Consumer Reports rated automobile insurance companies and listed , example 1

(a) Which state has the lowest premium? the highest?
(b) Which state has the highest median premium?
(c) Which state has the smallest range of premiums? the smallest interquartile range?
(d) Figure 3-10 gives the five-number summaries generated on the TI-84Plus/TI-83Plus/TI-nspire calculators for the box-and-whisker plots of Figure 3-9. Match the five-number summaries to the appropriate box-and-whisker plots.

FIGURE 3-10

Five-Number Summaries for Insurance Premiums

Chapter 3.3, Problem 11P, Auto Insurance: Interpret Graphs Consumer Reports rated automobile insurance companies and listed , example 2

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Chapter 3.3, Problem 10P

Chapter 3.3, Problem 12P

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Chapter 3 Solutions

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Solution Summary: The author identifies the state with the lowest and highest premiums, C, P, and T. The interquartile range measures the spread of the data.

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