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mathematics
statistics

Questions and Answers of Statistics

Data on three variables have been collected for 15 nations. The variables are fertility rate (average number of children born to each woman), education for females (expressed as a percentage of all
The following table presents the scores of 15 states on three variables. Compute r and r2 for each combination of variables. Write a paragraph interpreting the relationship among these three
Fifteen individuals were randomly selected from the respondents to a public opinion survey and their scores are reproduced here.a. Calculate Pearson's r for age (X) and four dependent variables
In problem 13.1, data regarding voter turnout in five cities was presented. For the sake of convenience, the data for three of the variables are presented again here along with descriptive statistics
A scale measuring support for increases in the national defense budget has been administered to a sample. The respondents have also been asked to indicate how many years of school they have completed
Data on civil strife (number of incidents), unemployment, and urbanization have been gathered for 10 nations. Take civil strife as the dependent variable. Compute the zero-order correlations among
In problem 13.5, three measures of crime and three other variables were presented for each of 10 states. The data are reproduced on the next page.a. Find the multiple regression equations
Problem 13.4 presented data on 10 precincts. The information is reproduced here.Take voter turnout as the dependent variable and do the following: a. Find the multiple regress ion equations
Twelve families have been referred to a counselor, and she has rated each of them on a cohesiveness scale. Also, she has information on family income and the number of children currently living at
The scores on four variables for 20 individuals are reported here: hours of TV (average number of hours of TV viewing each day), occupational prestige (higher scores indicate greater prestige),
Four different beverages are sold at a fast-food restaurant: soft drinks, tea, coffee, and bottled water. a. Explain why the type of beverage sold is an example of a categorical variable. b. Explain
The director of market research at a large department store chain wanted to conduct a survey throughout a metropolitan area to determine the amount of time working women spend shopping for clothing
What is the difference between descriptive statistics and inferential statistics?
In 2008, a university in the midwestern United States surveyed its full-time first-year students after they completed their first semester. Surveys were electronically distributed to all 3,727
A Gallup poll indicated that 20% of Americans had confidence in U.S. banks. Interestingly, 58% also said that they had confidence in their main or primary bank. (data extracted from D. Jacobs,
Download and examine the U.S. Census Bureau's "2007 Survey of Business Owners and Self-Employed Persons," directly available at bhs.econ.census.gov/BHS/SBO/ sbo1_07.pdf or through the Get Help with
Three professors at Northern Kentucky University compared two different approaches to teaching courses in the school of business (M. W. Ford, D. W. Kent, and S. Devoto, "Learning from the Pros:
A sample of 62 undergraduate students answered the following survey:1. What is your gender? Female ______ Male ______2. What is your age (as of last birthday)? ______3. What is your current
A sample of 44 graduate students answered the following survey: 1. What is your gender? Female ______ Male ______ 2. What is your age (as of last birthday)? ______ 3. What is your current major area
Suppose that you measure the time it takes to download a video from the Internet. a. Explain why the download time is a continuous numerical variable. b. Explain why the download time is a ratio
For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addition,
The following information is collected from students upon exiting the campus bookstore during the first week of classes.1. Amount of time spent shopping in the bookstore2. Number of textbooks
For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addition,
For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addition,
Suppose the following information is collected from Robert Keeler on his application for a home mortgage loan at the Metro County Savings and Loan Association. a. Monthly payments: $1,927 b. Number
One of the variables most often included in surveys is income. Sometimes the question is phrased "What is your income (in thousands of dollars)?" In other surveys, the respondent is asked to "Select
A sample of 500 shoppers was selected in a large metropolitan area to determine various information concerning consumer behavior. Among the questions asked was "Do you enjoy shopping for clothing?"
For this problem, consider the expense ratio. a. Construct a percentage histogram. b. Using a single graph, plot percentage polygons of the expense ratio for bond funds that have fees and bond funds
For this problem, consider the three-year annualized return from 2007 to 2009.a. Construct a percentage histogram.b. Using a single graph, plot percentage polygons of the three-year annualized return
For this problem, consider the five-year annualized return from 2005 to 2009.a. Construct a percentage histogram.b. Using a single graph, plot percentage polygons of the five year annualized return
Problem 1.27 on the page 14 describes a survey of 62 undergraduate students (stored in UndergradSurvey). For these data, construct all the appropriate tables and charts and write a report summarizing
Problem 1.28 on the page 15 describes a survey of 44 graduate students (see the file ). For these data, construct all appropriate tables and charts and write a report summarizing your conclusions.In
Each day at a large hospital, several hundred laboratory tests are performed. The rate at which these tests are done improperly (and therefore need to be redone) seems steady, at about 4%. In an
Does it take more time to get yourself removed from an email list than it used to? A study of 100 large online retailers revealed the following:What do these results tell you about whether more
A set of data has values that vary from 11.6 to 97.8. a. If these values are grouped into nine classes, indicate the class boundaries. b. What class interval width did you choose? c. What are the
The file BBCost contains the total cost ($) for four tickets, two beers, four soft drinks, four hot dogs, two game programs, two baseball caps, and parking for one vehicle at each of the 30 Major
The file contains the data in the next column about the cost of electricity during July 2010 for a random sample of 50 one-bedroom apartments in a large city.a. Construct a frequency distribution and
One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting
A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trough that is made out of a 14-gauge steel coil. It is produced using a
The manufacturing company in Problem 2.20 also produces electric insulators. If the insulators break when in use, a short circuit is likely to occur. To test the strength of the insulators,
The file Bulbes contains the life (in hours) of a sample of 40 100-watt light bulbs produced by Manufacturer A and a sample of 40 100-watt light bulbs produced by Manufacturer B. The following table
The following data (stored in Drink) represent the amount of soft drink in a sample of 50 2-liter bottles:a. Construct a cumulative percentage distribution.b. On the basis of the results of (a), does
A survey asked 1,264 women who were their most trusted shopping advisers. The survey results were as follows: Shopping Advisers Percentage
What would you do if you won $1 million? A survey was taken of 1,078 adults who were asked what they would spend money on first if they won $1 million in a March Madness NCAA pool. The results are
The Energy Information Administration reported the following sources of electricity in the United States in 2010:Source of Electricity Percentage
An article discussed radiation therapy and new cures from the therapy, along with the harm that could be done if mistakes were made. The following tables represent the results of the types of
The following table indicates the percentage of residential electricity consumption in the United States, organized by type of appliance in a recent year:Type of Appliance Percentage (%)Air
A study of 1,000 people asked what respondents wanted to grill during barbecue season. The results were as follows: Type of Food Percentage
A sample of 500 shoppers was selected in a large metropolitan area to learn more about consumer behavior. Among the questions asked was "Do you enjoy shopping for clothing?" The results are
Each day at a large hospital, several hundred laboratory tests are performed. The rate at which these tests are done improperly (and therefore need to be redone) seems steady, at about 4%. In an
Does it take more time to get yourself removed from an email list than it used to? A study of 100 large online retailers revealed the following:a. Construct a side-by-side bar chart of year and
The following is a stem-and-leaf display representing the amount of gasoline purchased, in gallons (with leaves in tenths of gallons), for a sample of 25 cars that use a particular service station on
The file BBCost contains the total cost ($) for four tickets, two beers, four soft drinks, four hot dogs, two game programs, two baseball caps, and parking for one vehicle at each of the 30 Major
The file DarkChocolate contains the cost per ounce ($) for a sample of 14 dark chocolate bars:a. Construct an ordered array.b. Construct a stem-and-leaf display.c. Does the ordered array or the
The file contains the following data about the cost of electricity during July 2010 for a random sample of 50 one-bedroom apartments in a large city:a. Construct a histogram and a percentage
As player salaries have increased, the cost of attending baseball games has increased dramatically. The following histogram visualizes the total cost ($) for four tickets, two beers, four soft
The following histogram visualizes the data about the property taxes per capita for the 50 states and the District of Columbia, stored in PropertyTaxes.What conclusions can you reach concerning the
One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting
A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trough that is made out of a 14-gauge steel coil. It is produced using a
The manufacturing company in Problem 2.42 also produces electric insulators. If the insulators break when in use, a short circuit is likely to occur. To test the strength of the insulators,
The file contains the life (in hours) of a sample of 40 100-watt light bulbs produced by Manufacturer A and a sample of 40 100-watt light bulbs produced by Manufacturer B. The table in the next
The data stored in Drink represents the amount of soft drink in a sample of 50 2-liter bottles:a. Construct a histogram and a percentage polygon.b. Construct a cumulative percentage polygon.c. On the
The following is a set of data from a sample of n = 11 items:a. Construct a scatter plot. b. Is there a relationship between X and Y? Explain.
The following is a series of annual sales (in millions of dollars) over an 11-year period (2000 to 2010):a. Construct a time-series plot. b. Does there appear to be any change in annual sales over
Movie companies need to predict the gross receipts of individual movies once the movie has debuted. The following results, stored in PoterMovies, are the first weekend gross, the U.S. gross, and the
The file VeggieBurgur contains data on the calories and total fat (in grams per serving) for a sample of 12 veggie burgers.a. Construct a scatter plot with calories on the X axis and total fat on the
A categorical variable has three categories, with the following frequencies of
College basketball is big business, with coaches' salaries, revenues, and expenses in millions of dollars. The file contains the coaches' salary and revenue for college basketball at 60 of the 65
College football players trying out for the NFL are given the Wonderlic standardized intelligence test. The file Wonderlic contains the average Wonderlic scores of football players trying out for the
How have stocks performed in the past? The following table presents the data stored in Stock Performance that shows the performance of a broad measure of stocks (by percentage) for each decade from
According to the U.S. Census Bureau, the average price of a new home declined in 2008 and 2009. The file New Home Prices contains the average price paid for a new home from 1990 to 2009 (extracted
The following table uses the data in Solar Power to show the yearly amount of solar power installed (in megawatts) in the United States from 2000 through 2008:YearAmount of Solar Power
The file Audits contains the number of audits of corporations with assets of more than $250 million conducted by the Internal Revenue Service (data extracted from K. McCoy, "IRS Audits Big Firms Less
a. Construct a table that tabulates type, fees, and risk.b. What conclusions can you reach concerning differences among the types of mutual funds (intermediate government and short-term corporate),
a. Construct a table that tabulates category, objective, and fees. b. What conclusions can you reach concerning differences among the categories of mutual funds (large cap, medium cap, and small
a. Construct a table that tabulates category, fees, and risk. b. What conclusions can you reach concerning differences among the categories of mutual funds (large cap, medium cap, and small cap),
For this problem, use the data in . a. Construct a table that tabulates category, objective, fees, and risk. b. What conclusions can you reach concerning differences among the categories of mutual
The following data represent the responses to two questions asked in a survey of 40 college students majoring in business: What is your gender? (M = male; F = female) and What is your major? (A =
Figures 2.1 and 2.3 show a bar chart and a pie chart for how adults pay their monthly bills (see pages 42 and 43).a. Create an exploded pie chart, a doughnut chart, a cone chart, or a pyramid chart
Figures 2.2 and 2.4 show a bar chart and a pie chart for the risk level for the bond fund data (see pages 43 and 44).a. Create an exploded pie chart, a doughnut chart, a cone chart, and a pyramid
How do histograms and polygons differ in their construction and use?
The Transportation Security Administration reported that from January 1, 2008, to February 18, 2009, more than 14,000 banned items were collected at Palm Beach International Airport. The categories
What are the advantages and disadvantages of using a bar chart, a pie chart, and a Pareto chart? Discuss.
Compare and contrast the bar chart for categorical data with the histogram for numerical data.
What type of insights can you gain from a three-way table that are not available in a two-way table?
The following summary table presents the breakdown of the price of a new college textbook:a. Using the four categories publisher, bookstore, author, and freight, construct a bar chart, a pie chart,
The following table represents the market share (in number of movies, gross in millions of dollars, and in number of tickets sold in millions) of each type of movie in 2009:a. Construct a bar chart,
The Energy Information Administration reported the following sources of electricity in the United States in 2008:SourceNet Electricity Generationof Electricity(millions of
A survey was conducted from 665 consumer magazines on the practices of their websites. The results are summarized in a copyediting table and a fact-checking table:Copyediting as Compared to Print
The owner of a restaurant that serves Continentalstyle entrées has the business objective of learning more about the patterns of patron demand during the Fridayto-Sunday weekend time period.
Suppose that the owner of the restaurant in Problem 2.81 also wanted to study the demand for dessert during the same time period. She decided that in addition to studying whether a dessert was
The following data represent the pounds per capita of fresh food and packaged food consumed in the United States, Japan, and Russia in 2009:a. For the United States, Japan, and Russia, construct a
In 2000, a growing number of warranty claims on Firestone tires sold on Ford SUVs prompted Firestone and Ford to issue a major recall. An analysis of warranty claims data helped identify which models
One of the major measures of the quality of service provided by an organization is the speed with which the organization responds to customer complaints. A large family- held department store selling
The file DomesticBeer contains the percentage alcohol, number of calories per 12 ounces, and number of carbohydrates (in grams) per 12 ounces for 139 of the bestselling domestic beers in the United
The file contains the state cigarette tax ($) for each state as of December 31, 2009.a. Construct an ordered array.b. Plot a percentage histogram.c. What conclusions can you reach about the
The file SavingsRate-MMCD contains the yields for a money market account and a five-year certificate of deposit (CD) for 25 banks in the United States, as of March 29, 2010.a. Construct a
The file CEO-Compensation includes the total compensation (in millions of $) of CEOs of 197 large public companies and the investment return in 2009.a. Construct a frequency distribution and a
Federal obligations for benefit programs and the national debt were $63.8 trillion in 2008. The cost per household ($) for various categories was as follows:Category Cost per Household ($)Civil
Studies conducted by a manufacturer of Boston and Vermont asphalt shingles have shown product weight to be a major factor in customers' perception of quality. Moreover, the weight represents the

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