Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 3.2, Problem 20E
The article “Economy Low, Generosity High” (USA TODAY, July 28, 2009) noted that despite a weak economy in 2008, more Americans volunteered in their communities than in previous years. Based on census data (volunteeringinamerica.gov), the top and bottom five states in terms of percentage of the population who volunteered in 2008 were identified. The top five states were Utah (43.5%), Nebraska (38.9%), Minnesota (38.4%), Alaska (38.0%), and Iowa (37.1%). The bottom five states were New York (18.5%), Nevada (18.8%), Florida (19.6%), Louisiana (20.1%), and Mississippi (20.9%).
- a. For the data set that includes the percentage who volunteered in 2008 for each of the 50 states, what is the largest value? What is the smallest value?
- b. If you were going to construct a stem-and-leaf display for the data set consisting of the percentage who volunteered in 2008 for the 50 states, what stems would you use to construct the display? Explain your choice.
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 3 Solutions
Introduction To Statistics And Data Analysis
Ch. 3.1 - Each person in a nationally representative sample...Ch. 3.1 - The graphical display on the next page is similar...Ch. 3.1 - The survey referenced in the previous exercise was...Ch. 3.1 - The National Confectioners Association asked 1006...Ch. 3.1 - College student attitudes about e-books were...Ch. 3.1 - The Center for Science in the Public Interest...Ch. 3.1 - Using the data given in the previous exercise,...Ch. 3.1 - The article Housework around the World (USA TODAY,...Ch. 3.1 - The authors of the report Findings from the 2009...Ch. 3.1 - The survey on student attitude toward e-books...
Ch. 3.1 - During 2017, Gallup conducted a survey of adult...Ch. 3.1 - An article about college loans (New Rules Would...Ch. 3.1 - The report Findings From the 2014 College Senior...Ch. 3.2 - The National Center for Health Statistics provided...Ch. 3.2 - The paper State-Level Cancer Mortality...Ch. 3.2 - The accompanying data on seat belt use for each of...Ch. 3.2 - The previous exercise gave data on seat belt use...Ch. 3.2 - The U.S. Department of Health and Human Services...Ch. 3.2 - The article Economy Low, Generosity High (USA...Ch. 3.2 - The U.S. gasoline tax per gallon data for each of...Ch. 3.2 - A report from Texas Transportation Institute...Ch. 3.2 - The percentage of teens not in school or working...Ch. 3.3 - The data in the accompanying table are from the...Ch. 3.3 - The accompanying data on annual maximum wind speed...Ch. 3.3 - The accompanying relative frequency table is based...Ch. 3.3 - The data in the accompanying table represents the...Ch. 3.3 - Construct a histogram for the data in the previous...Ch. 3.3 - The following two relative frequency distributions...Ch. 3.3 - U.S. Census data for San Luis Obispo County,...Ch. 3.3 - Use the commute time data given in the previous...Ch. 3.3 - The report Trends in College Pricing 2012...Ch. 3.3 - An exam is given to students in an introductory...Ch. 3.3 - The accompanying frequency distribution summarizes...Ch. 3.3 - Example 3.19 used annual rainfall data for...Ch. 3.3 - Use the relative frequency distribution...Ch. 3.3 - Prob. 37ECh. 3.3 - Use the cumulative relative frequencies given in...Ch. 3.3 - Using the five class intervals 100 to 120, 120 to...Ch. 3.4 - The accompanying table gives data from a survey of...Ch. 3.4 - Consumer Reports Health (consumerreports.org) gave...Ch. 3.4 - Consumer Reports rated 29 fitness trackers (such...Ch. 3.4 - Consumer Reports (consumerreports.org) rated 37...Ch. 3.4 - The Solid Waste Management section of the...Ch. 3.4 - The report Daily Cigarette Use: Indicators on...Ch. 3.4 - The accompanying time series plot of movie box...Ch. 3.5 - The accompanying comparative bar chart is similar...Ch. 3.5 - The figure at the top left of the next page is...Ch. 3.5 - The figure at the top right of the next page is...Ch. 3.5 - The two graphical displays below are similar to...Ch. 3.5 - The following graphical display is similar to one...Ch. 3.5 - Explain why the following graphical display...Ch. 3 - Each year, The Princeton Review conducts surveys...Ch. 3 - Prob. 55CRCh. 3 - Prob. 56CRCh. 3 - Prob. 57CRCh. 3 - Prob. 58CRCh. 3 - Does the size of a transplanted organ matter? A...Ch. 3 - Prob. 60CRCh. 3 - The article Tobacco and Alcohol Use in G-Rated...Ch. 3 - Prob. 62CRCh. 3 - Prob. 63CRCh. 3 - Many nutritional experts have expressed concern...Ch. 3 - Americium 241 (241Am) is a radioactive material...Ch. 3 - Does eating broccoli reduce the risk of prostate...Ch. 3 - An article that appeared in USA TODAY (August 11,...Ch. 3 - Sometimes samples are composed entirely of...Ch. 3 - Prob. 4CRECh. 3 - More than half of Californias doctors say they are...Ch. 3 - Based on observing more than 400 drivers in the...Ch. 3 - An article from the Associated Press (May 14,...Ch. 3 - Prob. 8CRECh. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - The article Determination of Most Representative...Ch. 3 - The paper Lessons from Pacemaker Implantations...Ch. 3 - How does the speed of a runner vary over the...Ch. 3 - Prob. 14CRECh. 3 - One factor in the development of tennis elbow, a...Ch. 3 - An article that appeared in USA TODAY (September...
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