Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 4, Problem 59CP
NCAA men’s basketball poll The last four teams of the Southeast region of the 2011 NCAA Men’s Basketball Tournament were Butler (located in Indiana), Brigham Young University (located in Utah), Florida, and Wisconsin. The sports website ESPN.com asked visitors of the site which team would win the Southeast region. Nationwide results are depicted on the map that follows. It was reported that 44% of the more than 3300 Indiana resident respondents believed Butler would win the regional, and 78% of the more than 5600 Wisconsin resident respondents believed Wisconsin would win.
- a. What are the estimated margins of error associated with the Indiana and Wisconsin polls?
- b. Explain why the percentages within Indiana and Wisconsin vary so drastically from the nationwide percentages displayed in the figure.
- c. It was reported that between 42.3% and 45.7% of Indiana residents believed Butler was likely to win. What type of potential bias prevented these results from being representative of the entire population of Indiana residents?
© ESPN.com (2012). Graphic feature used with permission.
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In 2018, Mike Krzyzewski and John Calipari topped the list of highest-paid college basketball coaches. The sample below shows the head basketball coach's salary for a sample of 10 schools
playing NCAA Division I basketball. Salary data are in millions of dollars.
University Coach's Salary
North Carolina
State
Iona
Texas A&M
Oregon
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Creighton
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South Dakota
State
New Mexico
State
2.2
0.5
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2.7
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1.5
1.3
1.5
0.3
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(a) Use the sample mean for the 10 schools to estimate the population mean annual salary (in million dollars per year) for head basketball coaches at colleges and universities playing NCAA
Division I basketball.
million per year
John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach in college basketball with an annual salary of $5.4 million
(USA Today, March 29, 2012). The sample below shows the head basketball coach's salary for a sample of 10 schools playing NCAA Division 1 basketball. Salary data are in millions of
dollars.
University
Coach's Salary
University
Coach's Salary
Indiana
2.2
Syracuse
1.5
Хavier
.5
Murray State
.2
Техas
2.4
Florida State
1.5
Connecticut
2.7
South Dakota State
.1
West Virginia
2.0
Vermont
.2
a. Use the sample mean for the 10 schools to estimate the population mean annual salary for head basketball coaches at colleges and universities playing NCAA Division 1 basketball
(to 2 decimals).
1.33
b. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches (to 4 decimals).
c. What is the 95% confidence interval for the population variance (to 2 decimals)?
.48
3.35…
Two psychologists surveyed 587 children in grades 4, 5 and 6 in elementary schools in Michigan. They stratified their sample drawing roughly 1/3 from rural, 1/3 from suburban and 1/3 from urban
schools. Among other questions they asked students whether their primary goal was to get good grades, to be popular, or to be good at sports. One question of interest was whether boys and girls at this
age had similar goals.
Grades
Popular
Sports
Boy
122
67
80
Total
269
Girl
151
134
33
318
Total
273
201
113
587
Round answers to two places after the decimal:
Of the boys in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports?
Of the girls in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports?
Among the students in grades 4, 5 and 6 in elementary schools in Michigan who have as primary goal to be good at sports, what is the proportion are girls? ✓
Chapter 4 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 4.1 - Cell phones Consider the cell phone Study 3...Ch. 4.1 - High blood pressure and binge drinking Many...Ch. 4.1 - Low-fat versus low-carb diet? One hundred...Ch. 4.1 - Experiments versus observational studies When...Ch. 4.1 - School testing for drugs Example 3 discussed a...Ch. 4.1 - Hormone therapy and heart disease Since 1976 the...Ch. 4.1 - Speaking foreign languages A 2014 study...Ch. 4.1 - Breast-cancer screening A study published in 2010...Ch. 4.1 - Experiment or observe? Explain whether an...Ch. 4.1 - Baseball under a full moon During a baseball game...
Ch. 4.1 - Seat belt anecdote Andy once heard about a car...Ch. 4.1 - Poker as a profession? Tonys mother is extremely...Ch. 4.1 - Whats more to blame for obesity? In a study...Ch. 4.1 - Census every 10 years? A nationwide census is...Ch. 4.2 - Choosing officers A campus club consists of five...Ch. 4.2 - Simple random sample of students In Example 4, a...Ch. 4.2 - Auditing accountsapp Use an app or computer...Ch. 4.2 - Sampling from a directory A local telephone...Ch. 4.2 - Bias due to perceived race A political scientist...Ch. 4.2 - Confederates Some southern states in the United...Ch. 4.2 - Instructor ratings The website...Ch. 4.2 - Job trends The 20132014 Recruiting Trends report,...Ch. 4.2 - Gun control More than 75% of Americans answer yes...Ch. 4.2 - Violent video games and family closeness A recent...Ch. 4.2 - Fracking The journal Energy Policy (2014, 65:...Ch. 4.2 - Teens buying alcohol over Internet In August 2006,...Ch. 4.2 - Cheating spouses and bias In a survey conducted by...Ch. 4.2 - Online dating A story titled Personals, Sex Sites...Ch. 4.2 - Identify the bias A newspaper designs a survey to...Ch. 4.2 - Types of bias Give an example of a survey that...Ch. 4.3 - Smoking affects lung cancer? You would like to...Ch. 4.3 - Never leave home without duct tape There have been...Ch. 4.3 - More duct tape In a follow-up study, 103 patients...Ch. 4.3 - Vitamin B A New York Times article (March 13,...Ch. 4.3 - Facebook study During the one-week period of...Ch. 4.3 - Science faculty selection of grad students In an...Ch. 4.3 - Pain reduction medication Consider an experiment...Ch. 4.3 - Pain reduction medication, continued Consider the...Ch. 4.3 - Pain reduction medication, yet again Revisit the...Ch. 4.3 - Colds and vitamin C For some time there has been...Ch. 4.3 - Reducing high blood pressure A pharmaceutical...Ch. 4.4 - Student loan debt A researcher wants to compare...Ch. 4.4 - Club officers again In Exercise 4.15, two officers...Ch. 4.4 - Security awareness training Of 400 employees at a...Ch. 4.4 - Prob. 45PBCh. 4.4 - Prob. 46PBCh. 4.4 - Prob. 47PBCh. 4.4 - Prob. 48PBCh. 4.4 - Prob. 49PBCh. 4.4 - Prob. 50PBCh. 4.4 - Prob. 51PBCh. 4.4 - Prob. 52PBCh. 4.4 - Effect of partner smoking in smoking cessation...Ch. 4 - Cell phones If you want to conduct a study with...Ch. 4 - Observational versus experimental study Without...Ch. 4 - Unethical experimentation Give an example of a...Ch. 4 - Spinal fluid proteins and Alzheimers A research...Ch. 4 - Fear of asbestos Your friend reads about a study...Ch. 4 - NCAA mens basketball poll The last four teams of...Ch. 4 - Sampling your fellow students You are assigned to...Ch. 4 - Prob. 61CPCh. 4 - Comparing female and male students You plan to...Ch. 4 - Football discipline A large southern university...Ch. 4 - Prob. 64CPCh. 4 - Voluntary sports polls In 2014, the Pittsburgh...Ch. 4 - Video games mindless? Playing video games not so...Ch. 4 - Physicians health study Read about the first...Ch. 4 - Aspirin prevents heart attacks? During the 1980s...Ch. 4 - Prob. 69CPCh. 4 - Prob. 70CPCh. 4 - Prob. 71CPCh. 4 - Bupropion and nicotine patch study results The...Ch. 4 - Prefer Coke or Pepsi? You want to conduct an...Ch. 4 - Prob. 74CPCh. 4 - Samples not equally likely in a cluster sample? In...Ch. 4 - Nursing homes You plan to sample residents of...Ch. 4 - Multistage health survey A researcher wants to...Ch. 4 - Hazing Hazing within college fraternities is a...Ch. 4 - Prob. 79CPCh. 4 - Twins and breast cancer Excessive cumulative...Ch. 4 - Judging sampling design In each of the following...Ch. 4 - Prob. 87CPCh. 4 - Age for legal alcohol You want to investigate the...Ch. 4 - Prob. 89CPCh. 4 - Prob. 90CPCh. 4 - Issues in clinical trials A randomized clinical...Ch. 4 - Prob. 92CPCh. 4 - Prob. 93CPCh. 4 - Prob. 94CPCh. 4 - Prob. 95CPCh. 4 - Prob. 96CPCh. 4 - For Exercises 4.974.103, select the best response....Ch. 4 - Prob. 98CPCh. 4 - For Exercises 4.974.103, select the best response....Ch. 4 - For Exercises 4.974.103, select the best response....Ch. 4 - Prob. 101CPCh. 4 - For Exercises 4.974.103, select the best response....Ch. 4 - Prob. 103CPCh. 4 - Systematic sampling A researcher wants to select...Ch. 4 - Prob. 106CPCh. 4 - Prob. 107CP
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