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mathematics
statistics

Questions and Answers of Statistics

A public utility is conducting a survey of mechanical engineers to learn more about the factors influencing the choice of heating, ventilation, and air conditioning (HVAC) equipment for new
A national real estate company just acquired a smaller firm with 150 offices and 6000 agents in Los Angeles and other parts of Southern California. The national firm conducted a sample survey to
To assess consumer acceptance of a new series of ads for Miller Lite Beer, Louis Harris conducted a nationwide poll of 363 adults who had seen the Miller Lite ads (USA Today, November 17, 1997). The
In a study conducted by The Wall Street Journal, 350 large U.S. companies were asked how they compensated their CEOs. One question asked if the companies included stock options in their CEO
Simple random sampling was used to obtain a sample of n = 80 elements from a population of N = 400. The sample mean was = 75, and the sample standard deviation was found to be s = 8.a. Estimate the
A quality of life survey was conducted with employees of a manufacturing firm. Of the firm's 3000 employees, a sample of 300 were sent questionnaires. Two hundred usable questionnaires were obtained
A U.S. Senate Judiciary Committee report showed the number of homicides in each state. In Indiana, Ohio, and Kentucky, the number of homicides was, respectively, 380, 760, and 260. Suppose a
Refer again to the data in exercise 21.a. Develop an estimate of the total number of deaths (in the three states) due to beatings.b. Develop an approximate 95% confidence interval for the proportion
A stratified simple random sample is to be taken of a bank's customers to learn about a variety of attitudinal and demographic issues. The stratification is to be based on savings account balances as
A public agency is interested in learning more about the persons living in nursing homes in a particular city. A total of 100 nursing homes are caring for 4800 people in the city and a cluster sample
Simple random sampling was used to obtain a sample of n = 100 elements from a population of N = 1000. The sample proportion was = .30.a. Estimate the population proportion.b. Estimate the standard
A sample is to be taken to develop an approximate 95% confidence interval estimate of the population mean. The population consists of 450 elements, and a pilot study resulted in s = 70. How large
In 1996, the Small Business Administration (SBA) granted 771 government-guaranteed loans to small businesses in North Carolina (The Wall Street Journal Almanac, 1998). Suppose a sample of 50 small
A county in California had 724 corporate tax returns filed. The mean annual income reported was $161,220 with a standard deviation of $31,300. How large a sample will be necessary next year to
A stratified simple random sample was taken with the following results.a. Develop an estimate of the population mean for each stratum.b. Develop an approximate 95% confidence interval for the
Reconsider the sample results in exercise 7.a. Develop an estimate of the population total for each stratum.b. Develop a point estimate of the total for all 550 elements in the population.c. Develop
Reconsider the sample results in exercise 7.a. Develop an approximate 95% confidence interval for the proportion in each stratum.b. Develop a point estimate of the population proportion for the 550
Tablet PC Comparison provides a wide variety of information about tablet computers. The company's website enables consumers to easily compare different tablets using factors such as cost, type of
A survey conducted by Better Homes and gardens Real Estate LLC showed that one in five U.S. homeowners have either moved from their home or would like to move because their neighborhood or community
J.D. Power and Associates surveys new automobile owners to learn about the quality of recently purchased vehicles. The following questions were asked in the J.D. Power Initial Quality Survey, May
Consider the following data.a. Develop a frequency distribution using classes of 12-14, 15-17, 18-20, 21-23, and 24-26. b. Develop a relative frequency distribution and a percent frequency
Consider the following data.a. Construct a dot plot.b. Construct a frequency distribution.c. Construct a percent frequency distribution.
CbSSports.com developed the Total Player Ratings system to rate players in the National basketball Association (NbA) based upon various offensive and defensive statistics. The following data show the
The following data show the year to date percent change (YTd % Change) for 30 stock market indexes from around the word (The Wall Street Journal, August 26, 2013).a. what index has the largest
Each year America.EdU ranks the best paying college degrees in America. The following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to
For the 2010-2011 viewing season, the top five syndicated programs were Wheel of Fortune (wof), Two and Half Men (THM), Jeopardy (Jep), Judge Judy (JJ), and the Oprah Winfrey Show (OwS) (Nielsen
The U.S. Census bureau serves as the leading source of quantitative data about the nation's people and economy. The following cross tabulation shows the number of households (1000s) and the household
Annual revenue for Corning Supplies grew by 5.5% in 2010; 1.1% in 2011; 23.5% in 2012; 21.1% in 2013; and 1.8% in 2014. What is the mean growth annual rate over this period?
Data collected by the Oil Price Information Service from more than 90,000 gasoline and convenience stores throughout the U.S. showed that the average price for a gallon of unleaded gasoline was $3.28
According to a Los Angeles Times study of more than 1 million medical dispatches from 2007 to 2012, the 911 response time for medical aid varies dramatically across Los Angeles (LA Times website,
The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off 2300 employees at its Sam's Club warehouse unit. Approximately half of the layoffs will be hourly employees (The Wall
Fortune magazine's list of the world's most admired companies for 2014 is provided the data contained in the WEB file named Admired Companies (Fortune, March 17, 2014). The data in the column
A random sample of 30 colleges from kiplinger's list of the best values in private college provided the data shown in the WEB file named Best Private Colleges (kiplinger, October 2013). The variable
In 2007 the New York Times reported that the median annual household income in the United States was $55,500 (New York Times website, August, 21, 2013). Answer the following questions based on the
The data contained in the WEB file named Food Industry show the company/chain name, the average sales per store ($1000s), and the food segment industry for 47 restaurant chains (Quick Service
The 32 teams in the National Football League (NFL) are worth, on average, $1.17 billion, 5% more than last year. The following data show the annual revenue ($ millions) and the estimated team value
The Wall Street Journal reported that the median salary for middle-level manager jobs was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an independent study of
The following table shows the percentage of on-time arrivals, the number of mishandled baggage reports per 1000 passengers, and the number of customer complaints per 1000 passengers for ten airlines
Suppose that we have a sample space S = {E1, E2, E3, E4 =, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply: P(E1) = .05, P(E2) = .20, P(E3)
The U.S. Census Bureau serves as the leading source of quantitative data about the nation's people and economy. The following cross tabulation shows the number of households (1000s) and the household
In 2011, New York City had a total of 11,232 motor vehicle accidents that occurred on Monday through Friday between the hours of 3 p.m. and 6 p.m. (New York State Department of Motor Vehicles
The Pew Research Center surveyed adults who own/use the following technologies: Internet, smart phone, email, and land-line phone (Usa today, March 26, 2014) and asked which of these technologies
Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the
In this section we used a two step procedure to select a simple random sample of 30 EAI employees. Use this procedure to select a simple random sample of 50 EAI employees?
Many medical professionals believe that eating too much red meat increases the risk of heart disease and cancer (WebMD website, March 12, 2014). Suppose you would like to conduct a survey to
The Pew Research Center Internet Project, conducted on the 25th anniversary of the Internet, involved a survey of 857 Internet users (Pew Research Center website, April 1, 2014). It provided a
The Wall Street Journal reported that bachelor's degree recipients with majors in business received average starting salaries of $53,900 in 2012 (the Wall Street Journal, March 17, 2014). The results
A recent article concerning bullish and bearish sentiment about the stock market reported that 41% of investors responding to an American Institute of Individual Investors (AAII) poll were bullish on
Members of the millennial generation are continuing to be dependent on their parents (either living with or otherwise receiving support from parents) into early adulthood (the Enquirer, March 16,
The following results come from two independent random samples taken of two populations.Sample 1Sample 2n1 = 50 .................. n2 = 35x̅1 = 13.6 ............... x̅2 = 11.6σ1 =
Consider the following hypothesis test.H0: μ1 - μ2 ( 0Ha: μ1 - μ2 ˃ 0The following results are for two independent samples taken from the two populations.Sample 1 Sample 2n1 = 40
Consider the following hypothesis test.H0: μ1 - μ2 = 0Ha: μ1 - μ2 ≠ 0The following results are for two independent samples taken from the two populations.Sample 1 Sample 2n1 = 80
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand.
The following sample data represent the number of late and on time flights for Delta, United, and US Airways (Bureau of Transportation Statistics, March 2012).a. Formulate the hypotheses for a test
The race for the 2013 Academy Award for Actress in a Leading Role was extremely tight, featuring several worthy performances (ABC News online, February 22, 2013). The nominees were Jessica Chastain
A Bloomberg Business week / Harris survey asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an
To identify high-paying jobs for people who do not like stress, the following data were collected showing the average annual salary ($1000s) and the stress tolerance for a variety of occupations
The data from exercise 1 follow.a. Use equation (12.23) to estimate the standard deviation of * when x = 4.b. Use expression (12.24) to develop a 95% confidence interval for the expected value of y
A portion of the regression output for an application relating maintenance expense (dollars per month) to usage (hours per week) for a particular brand of computer terminal follows.a. Write the
Consumers have a wide variety of options when choosing Wi-Fi and Bluetooth speaker systems. However, selecting a speaker system that provides good sound at a reasonable price can be difficult. The
Data for a portion of the best values in private colleges compiled by kiplinger appear in the WEB file named Private Colleges (kiplinger, October 2013). The variable named % Need-Based Aid shows the
The personnel director for McCormick Publisher Services developed the following estimated regression equation relating an employee's score on a job satisfaction test to his or her length of service
CSM Worldwide forecasts global production for all automobile manufacturers. The following CSM data show the forecast of global auto production for General Motors, Ford, DaimlerChrysler, and Toyota
A survey of 131 investment managers revealed the following: • 43% of managers classified themselves as bullish or very bullish on the stock market. • The average expected return over the next 12
Data from the U.S. Census Bureau provide the population by state in millions of people (The World Almanac, 2006).a. Develop a frequency distribution, a percent frequency distribution, and a
A panel of economists provided forecasts of the U.S. economy for the first six months of 2007 (The Wall Street Journal, January 2, 2007). The percent changes in the gross domestic product (GDP)
The Energy Information Administration reported that the mean retail price per gallon of regular grade gasoline was $2.05 (Energy Information Administration, May 2009). Suppose that the standard
Some of the best-known food franchises and the number of retail locations for each are shown in the following table (The New York Times Almanac, 2010).a. What is the largest franchise? How many
Fortune magazine publishes an annual list of the 500 largest companies in the United States. The following data show the five states with the largest number of Fortune 500 companies (The New York
Statistics from the 2009 Major League Baseball season show that there were 157 players who had at least 500 plate appearances. For this group, 42 players had a batting average of .300 or higher, 53
Most computer languages include a function that can be used to generate random numbers. In Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let x denote a random
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (Golfweek, March 29, 2003). Assume that the driving distance for these golfers is uniformly distributed
On average, 30-minute television sitcoms have 22 minutes of programming (CNBC, February 23, 2006). Assume that the probability distribution for minutes of programming can be approximated by a uniform
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $ 10,000 will be accepted. Assume that the
Roper ASW conducted a survey to learn about American adults' attitudes toward money and happiness (Money, October 2003). Fifty-six percent of the respondents said they balance their checkbook at
The 10 most active stocks on the New York Stock Exchange on March 6, 2006, are shown here (The Wall Street Journal, March 7, 2006).Exchange authorities decided to investigate trading practices using
During the first quarter of 2003, the price/earnings (P/E) ratio for stocks listed on the New York Stock Exchange generally ranged from 5 to 60 (The Wall Street Journal, March 7, 2003). Assume that
A 95% confidence interval for a population mean was reported to be 152 to 160. If α = 15, what sample size was used in this study?
Annual salary plus bonus data for chief executive officers are presented in the Business Week Annual Pay Survey. A preliminary sample showed that the standard deviation is $675 with data provided in
The National Quality Research Center at the University of Michigan provides a quarterly measure of consumer opinions about products and services (The Wall Street Journal, February 18, 2003). A survey
The College Board provided comparisons of SAT scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a
How much is the cost of a hospital stay increasing? The mean cost of one day in a semiprivate room was reported to be $4848 in 2005 and $5260 in 2006 (The Wall Street Journal, January 2, 2007).
Slot machines are the favorite game at casinos throughout the United States (Harrah s Survey 2002: Profile of the American Gambler). The following sample data show the number of women and number of
Refer to exercise 10, where data were reported on a variety of statistics for the 29 teams in the National Basketball Association for a portion of the 2004 season (NBA website, January 3, 2004). a.
Small cars offer higher fuel efficiency, are easy to maneuver and park, and have generally performed well in road tests. The following data show the overall fuel efficiency rating (miles per gallon),
The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed
Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting.
Eastman Publishing Company is considering publishing a paperback textbook on spreadsheet applications for business. The fixed cost of manuscript preparation, textbook design, and production setup is
Esiason Oil makes two blends of fuel by mixing oil from three wells, one each in Texas, Oklahoma, and California. The costs and daily availability of the oils are provided in the following
Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and farmhouse. Contemporary style cabinets sell for $90 and farmhouse style
PromoTime, a local advertising agency, has been hired to promote the new adventure film Tomb Raiders starring Angie Harrison and Joe Lee Ford. The agency has been given a $100,000 budget to spend on
Consider the following linear program: Max 3A + 2B s.t. 1A + 1B ≤ 10 3A + 1B ≤ 24 1A + 2B ≤ 16 A, B ≥ 0 a. Use the graphical solution procedure to find the optimal solution. b. Assume that
Recall the Inn is Investments problem (Chapter 2, Problem 39). LettingS = units purchased in the stock fundM = units purchased in the money market fundLeads to the following formulation:Min 8S +
Refer to the computer solution of Problem 12 in Figure 3.17.a. Identify the range of optimality for each objective function coefficient.b. Suppose the profit for the economy model is increased by $6
Digital Controls, Inc. (DCI), manufactures two models of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller
Tucker, Inc., produces high-quality suits and sport coats for men. Each suit requires 1.2 hours of cutting time and 0.7 hours of sewing time, uses 6 yards of material, and provides a profit
The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual race tracks. Because safety is a primary consideration at such events, many
Davison Electronics manufactures two models of LCD televisions, identified as model A and model B. Each model has its lowest possible production cost when produced on Davison's new production line.
National Insurance Associates carries an investment portfolio of stocks, bonds, and other investment alternatives. Currently $200,000 of funds are available and must be considered for new investment
Cranberries can be harvested using either a "wet" method or a "dry" method. Dry-harvested cranberries can be sold at a premium, while wet-harvested cranberries are used mainly for cranberry juice and

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