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mathematics
statistics

Questions and Answers of Statistics

Because shelf space is a limited resource for a retail store, product selection, shelf-space allocation, and shelf-space placement decisions must be made according to a careful analysis of
In an effort to explain the results of Exercise A15.9, a researcher recorded the distances for the random sample of British and American golf courses. Can we infer that British courses are shorter
It is generally assumed that alcohol consumption tends to make drinkers more impulsive. However, a recent study in the journal Alcohol and Alcoholism may contradict this assumption. The study took a
Refer to Exercise 13.35. The executive did a further analysis by taking another random sample. This time she tracked the number of customers who have had an accident in the last 5 years. For each she
The U.S. National Endowment for the Arts conducts surveys of American adults to determine, among other things, their participation in various arts activities. A recent survey asked a random sample of
Mouth-to-mouth resuscitation has long been considered better than chest compression for people who have suffered a heart attack. To determine if this indeed is the better way, Japanese researchers
Refer to Exercise A15.6. The financial analyst undertook another project wherein respondents were also asked the age of the head of the household. The choices are1. Younger than 252. 25 to 343. 35 to
Over one decade (1995–2005), the number of hip and knee replacement surgeries increased by 87%. Because the costs of hip and knee replacements are so expensive, private health-insurance and
Refer to Exercise A17.9. Weight is a major factor that determines whether a person will need a hip or knee replacement and at what age. To learn more about the topic, a medical researcher randomly
Television shows with large amounts of sex or violence tends to attract more viewers. Advertisers want large audiences, but they also want viewers to remember the brand names of their products.
In an effort to explain to customers why their electricity bills have been so high lately, and how customers could save money by reducing the thermostat settings on both space heaters and water
An economist wanted to learn more about total compensation packages. She conducted a survey of 858 workers and asked all to report their hourly wages or salaries, their total benefits, and whether
Professional athletes in North America are paid very well for their ability to play games that amateurs play for fun. To determine the factors that influence a team to pay a hockey player’s
The risks associated with smoking are well known. Virtually all physicals recommend that their patients quit. This raises the question, what are the risks for people who quit smoking compared to
A survey was conducted among Canadian farmers, who were each asked to report the number of acres in his or her farm. There were a total of 229, 373 farms in Canada in 2006. Estimate with 95%
Do the data allow us to infer that house-holds with at least one union member (UNION: 1 = Respondent belongs, 2 = Spouse belongs, 3 = Both belong, 4 = Neither belong) differ from households with no
Estimate with 95% confidence the proportion of Americans who are divorced (DIVORCE: 1 = Yes, 2 = No).
Is there sufficient evidence to conclude that people who have taken college-level science courses (COLSCINM: 1 = Yes, 2 = No) are more likely to answer the following question correctly (ODDS1): A
Estimate with 95% confidence the mean job tenure (CUREMPYR).
Is there sufficient evidence to infer that the three groups of conservatives (POLVIEWS: 5 = slightly conservative, 6 = conservative, 7 = extremely conservative) differ in support for capital
Do older people watch more television? To answer the question, analyze the relationship between age (AGE) and the amount of time spent watching television (TVHOURS).
If a person has a higher income, is he or she more likely to believe that the government should do more to solve the country’s problems? Conduct a test of the relationship between income (INCOME)
Is there enough evidence to conclude that people with vision problems (DISABLD2: Do you have a vision problem that prevents you from reading a newspaper even when wearing glasses or contacts: 1 =
Do the children of men with prestigious occupations have prestigious occupations themselves? Conduct a test to determine whether there is a positive linear relationship between PRESTG80 and PAPRES80.
Is there a relationship between the number of hours a husband works and the number of hours his wife works? Answer the question by conducting a test of the two variables (HRS and SPHRS).
Are older people more likely to vote? One way to answer this question is to conduct a test to determine whether there is enough evidence to conclude that age (AGE) and intention to vote (DEFINITE)
Is the amount of time a person watches television news per day affected by his or her education? Test to determine whether TIME2 and EDUC are linearly related.
Astent is a metal mesh cylinder that holds a coronary artery open after a blockage has been removed. However, in many patients the stents, which are made from bare metal, become blocked as well. One
Setting premiums for insurance is a complex task. If the premium is too high, the insurance company will lose customers; if it is too low, the company will lose money. Statistics plays a critical
The U.S. Department of Energy provides fuel economy information for a variety of motor vehicles. A sample of 10 automobiles is shown in Table 1.6 (Fuel Economy website, February 22, 2008). Data show
Table shows data for eight cordless telephones (Consumer reports, November 2012). The Overall Score, a measure of the overall quality for the cordless telephone, ranges from 0 to 100. Voice Quality
Refer to the data set in Table.a. What is the average price for the cordless telephones?b. What is the average talk time for the cordless telephones?c. What percentage of the cordless telephones has
The Kroger Company is one of the largest grocery retailers in the United States, with over 2000 grocery stores across the country. Kroger uses an online customer opinion questionnaire to obtain
The Financial Times/Harris Poll is a monthly online poll of adults from six countries in Europe and the United States. A January poll included 1015 adults in the United States. One of the questions
Figure provides a bar chart showing the amount of federal spending for the years 2004 to 2010 (Congressional Budget Office website, May 15, 2011).a. What is the variable of interest?b. Are the data
Every year, the U.S. Coast Guard collects data and compiles statistics on reported recreational boating accidents. These statistics are derived from accident reports that are filed by the
A random telephone survey of 1021 adults (aged 18 and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results
A survey of 131 investment managers in Barron’s Big Money poll revealed the following:43% of managers classified themselves as bullish or very bullish on the stock market.The average expected
The Bureau of Transportation Statistics Omnibus Household Survey is conducted annually and serves as an information source for the U.S. Department of Transportation. In one part of the survey the
J.D. Power and Associates conducts vehicle quality surveys to provide automobile manufacturers with consumer satisfaction information about their products (Vehicle Quality Survey, January 2010).
The Hawaii Visitors Bureau collects data on visitors to Hawaii. The following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights.This trip to
The following data show the number of rental cars in service for three rental car companies: Hertz, Avis, and Dollar. The data are for the years 2007€“2010 and are in thousands of vehicles
A Bloomberg Businessweek North American subscriber study collected data from a sample of 2861 subscribers. Fifty-nine percent of the respondents indicated an annual income of $75,000 or more and 50%
A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women
The Nielsen Company surveyed consumers in 47 markets from Europe, Asia-Pacific, the Americas, and the Middle East to determine which factors are most important in determining where they buy
Pew Research Center is a nonpartisan polling organization that provides information about issues, attitudes, and trends shaping America. In a recent poll, Pew researchers found that 47% of American
A sample of midterm grades for five students showed the following results: 72, 65, 82, 90, 76. Which of the following statements are correct, and which should be challenged as being too
Table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors. Shadow stocks are common stocks of smaller companies that are
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 24 B, and 36 C. Show the frequency and relative frequency distributions.
Construct a histogram for the data in exercise 12.Class Frequency10–19 ...........1020–29 ...........1430–39 ...........1740–49 ........... 750–59 ........... 2
A psychologist developed a new test of adult intelligence. The test was administered to 20 individuals, and the following data were obtained.Construct a stem-and-leaf display for thedata.
A partial relative frequency distribution is given.Class
In alphabetical order, the six most common last names in the United States are Brown, Johnson, Jones, Miller, Smith, and Williams (The World Almanac, 2012). Assume that a sample of 50 individuals
The Canmark Research Center Airport Customer Satisfaction Survey uses an online questionnaire to provide airlines and airports with customer satisfaction ratings for all aspects of the
The Pew Research Centerâ€™s Social & Demographic Trends project found that 46% of U.S. adults would rather live in a different type of community than the one where they are living now (Pew
Virtual Tourist provides ratings for hotels throughout the world. Ratings provided by 649 guests at the Sheraton Anaheim Hotel, located near the Disneyland Resort in Anaheim, California, can be found
Consider the following data.a. Develop a frequency distribution using classes of 12â€“14, 15â€“17, 18â€“20, 21â€“23, and 24â€“26.b. Develop a relative frequency distribution
Consider the following data.a. Construct a dot plot.b. Construct a frequency distribution.c. Construct a percent frequencydistribution.
Based on the tons handled in a year, the ports listed below are the 25 busiest ports in the United States (The 2013 World Almanac).a. What is the largest number of tons handled? What is the smallest
Fortune provides a list of America€™s largest corporations based on annual revenue. Shown below are the 50 largest corporations, with annual revenue expressed in billions of dollars (CNN
The Nielsen Home Technology Report provided information about home technology and its usage. The following data are the hours of personal computer usage during one week for a sample of 50
Money magazine listed top career opportunities for work that is enjoyable, pays well, and will still be around 10 years from now (Money, November 2009). Shown below are 20 top career opportunities,
The following data are for 30 observations involving two categorical variables, x and y. The categories for x are A, B, and C; the categories for y are 1 and 2.a. Develop a crosstabulation for the
The Daytona 500 is a 500-mile automobile race held annually at the Daytona International Speedway in Daytona Beach, Florida. The following crosstabulation shows the automobile make by average speed
Recently, management at Oak Tree Golf Course received a few complaints about the condition of the greens. Several players complained that the greens are too fast. Rather than react to the comments of
Refer to the data in Table 2.12.a. Prepare a crosstabulation of the data on Fund Type (rows) and the Expense Ratio (%) (Columns). Use classes of .25â€“.49, .50â€“.74, .75â€“.99,
The file named BankFail contains a list of 492 banks that failed from 2000–2012 (Federal Deposit Insurance Corporation website, March 9, 2013). The file contains the name of the bank, city, state,
The U.S. Department of Energyâ€™s Fuel Economy Guide provides fuel efficiency data for cars and trucks (Fuel Economy website, September 8, 2012). A portion of the data for 149 compact, midsize,
Consider the following data on two categorical variables. The first variable, x, can take on values A, B, C, or D. The second variable, y, can take on values I or II. The following table gives the
A study on driving speed (miles per hour) and fuel efficiency (miles per gallon) for midsize automobiles resulted in the following data:a. Construct a scatter diagram with driving speed on the
People often wait until middle age to worry about having a healthy heart. However, recent studies have shown that earlier monitoring of risk factors such as blood pressure can be very beneficial
The Northwest regional manager of an outdoor equipment retailer conducted a study to determine how managers at three store locations are using their time. A summary of the results is shown in the
Approximately 1.5 million high school students take the SAT each year and nearly 80% of the college and universities without open admissions policies use SAT scores in making admission decisions
The Pittsburgh Steelers defeated the Arizona Cardinals 27 to 23 in professional football's 43rd Super Bowl. With this win, its sixth championship, the Pittsburgh Steelers became the team with the
A startup company's ability to gain funding is a key to success. The funds raised (in millions of dollars) by 50 startup companies appear below (The wall Street Journal, March 10, 2011).a. Construct
Dividend yield is the annual dividend paid by a company expressed as a percentage of the price of the stock (Dividend/Stock Price 3 100). The dividend yield for the Dow Jones Industrial Average
Western University has only one womenâ€™s softball scholarship remaining for the coming year. The final two players that Western is considering are Allison Fealey and Emily Janson. The coaching
Fortune magazine publishes an annual survey of the best companies to work for. The data in the file named FortuneBest shows the rank, company name, the size of the company, and the percentage job
Table shows a portion of the data for a sample of 103 private colleges and universities. The complete data set is contained in the file named Colleges. The data include the name of the college or
Refer to the data set in Table.a. Construct a crosstabulation with Year Founded as the row variable and % Graduate as the column variable. Use classes starting with 1600 and ending with 2000 in
Refer to the data set in Table.a. Construct a scatter diagram to show the relationship between Year Founded and Tuition & Fees. b. Comment on any relationship between thevariables.
Refer to the data set in Table.a. Prepare a scatter diagram to show the relationship between Tuition & Fees and % Graduate.b. Comment on any relationship between thevariables.
Google has changed its strategy with regard to how much and over which media it invests in advertising. The following table shows Google€™s marketing budget in millions of dollars for 2008
A zoo has categorized its visitors into three categories: member, school, and general. The member category refers to visitors who pay an annual fee to support the zoo. Members receive certain
Use the tabular and graphical methods of descriptive statistics to help management develop a customer profile and to evaluate the promotional campaign. At a minimum, your report should include the
Use the tabular and graphical methods of descriptive statistics to learn how these variables contribute to the success of a motion picture. Include the following in your report.Tabular and graphical
Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the mean and median.
Consider a sample with data values of 10, 20, 21, 17, 16, and 12. Compute the mean and median.
Consider the following data and corresponding weights.xi Weight (wi)3.2 ......... 62.0 ......... 32.5 ......... 25.0 ......... 8a. Compute the weighted mean.b. Compute the sample mean of the four
Consider a sample with data values of 53, 55, 70, 58, 64, 57, 53, 69, 57, 68, and 53. Compute the mean, median, and mode.
If an asset declines in value from $5,000 to $3,500 over nine years, what is the mean annual growth rate in the asset’s value over these nine years?
Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range.
Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the variance and standard deviation.
A bowler’s scores for six games were 182, 168, 184, 190, 170, and 174. Using these data as a sample, compute the following descriptive statistics:a. Rangeb. Variancec. Standard deviationd.
The following data were used to construct the histograms of the number of days required to fill orders for Dawson Supply, Inc., and J.C. Clark Distributors (see Figure 3.2).Use the range and standard
The results of Accounting Principals latest Workonomix survey indicate the average American worker spends $1092 on coffee annually (The Consumerist, January 20, 2012). To determine if there are any
The following times were recorded by the quarter-mile and mile runners of a university track team (times are in minutes).After viewing this sample of running times, one of the coaches commented that
Show the box plot for the data in exercise.In exercise, consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Provide the five-number summary for the data.
A data set has a first quartile of 42 and a third quartile of 50. Compute the lower and upper limits for the corresponding box plot. Should a data value of 65 be considered an outlier?
U.S. companies lose $63.2 billion per year from workers with insomnia. Workers lose an average of 7.8 days of productivity per year due to lack of sleep (Wall Street Journal, January 23, 2013). The

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