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mathematics
statistics

Questions and Answers of Statistics

In exercise 5, the owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict weekly gross revenue (y) as a function of television advertising (x1) and newspaper advertising
In exercise 24, an estimated regression equation was developed relating the percentage of games won by a team in the National Football League for the 2011 season (y) given the average number of
The American Association of Individual Investors (AAII) On-Line Discount Broker Survey polls members on their experiences with electronic trades handled by discount brokers. As part of the survey,
Consider a regression study involving a dependent variable y, a quantitative independent variable x1, and a categorical independent variable with three possible levels (level 1, level 2, and level
Refer to the Johnson Filtration problem introduced in this section. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an
This problem is an extension of the situation described in exercise 35.a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website, February 11, 2009). Assume the following data
A 10-year study conducted by the American Heart Association provided data on how age, systolic blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a
The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student’s SAT mathematics score and high-school GPA.Y = –
A partial computer output from a regression analysis follows.a. Compute the missing entries in this output.b. Use the F test and Î± = .05 to see whether a significant relationship is
Recall that in exercise 39, the admissions officer for Clearwater College developed the following estimated regression equation relating final college GPA to the student€™s SAT mathematics
Recall that in exercise 40 the personnel director for Electronics Associates developed the following estimated regression equation relating an employee€™s score on a job satisfaction test
The Tire Rack, America€™s leading online distributor of tires and wheels, conducts extensive testing to provide customers with products that are right for their vehicle, driving style, and
The Department of Energy and the U.S. Environmental Protection Agency’s 2012 Fuel Economy Guide provides fuel efficiency data for 2012 model year cars and trucks (Department of Energy website,
A portion of a data set containing information for 45 mutual funds that are part of the Morningstar Funds 500 for 2008 follows. The complete data set is available in the file named MutualFunds. The
Fortune magazine publishes an annual list of the 100 best companies to work for. The data in the file named FortuneBest shows a portion of the data for a random sample of 30 of the companies that
The National Basketball Association (NBA) records a variety of statistics for each team. Five of these statistics are the percentage of games won (Win%), the percentage of field goals made (FG%), the
1. Use methods of descriptive statistics to summarize the data. Comment on the findings.2. Develop estimated regression equations, first using annual income as the independent variable and then using
1. Suppose you wanted to predict Winnings ($) using only the number of poles won (Poles), the number of wins (Wins), the number of top five finishes (Top 5), or the number of top ten finishes (Top
1. Treating Cost/Mile as the dependent variable, develop an estimated regression with Family-Sedan and Upscale-Sedan as the independent variables. Discuss your findings.2. Treating Value Score as the
Give a speciﬁc example of data that might be gathered from each of the following business disciplines: accounting, finance, human resources, marketing, information systems, production, and
State examples of data that can be gathered for decision making purposes from each of the following industries: manufacturing, insurance, travel, retailing, communications, computing, agriculture,
Give an example of descriptive statistics in the recorded music industry. Give an example of how inferential statistics could be used in the recorded music industry. Compare the two examples. What
Suppose you are an operations manager for a plant that manufactures batteries. Give an example of how you could use descriptive statistics to make better managerial decisions. Give an example of how
There are many types of information that might help the manager of a large department store run the business more efficiently and better understand how to improve sales. Think about this in such
Suppose you are the owner of a medium-sized restaurant in a small city. What are some variables associated with different aspects of the business that might be helpful to you in making business
Classify each of the following as nominal, ordinal, interval or ratio data.a. The time required to produce each tire on an assembly lineb. The number of quarts of milk a family drinks in a monthc.
Classify each of the following as nominal, ordinal, interval or ratio data.a. The ranking of a company in the Fortune 500b. The number of tickets sold at a movie theater on any given nightc. The
The Rathburn Manufacturing Company makes electric wiring, which it sells to contractors in the construction industry. Approximately 900 electric contractors purchase wire from Rathburn annually.
Kraft Foods successfully introduced DiGiorno Pizza into the marketplace in 1996, with first year sales of $120 million, followed by $200 million in sales in 1997.It was neither luck no coincidence
The following data represent the afternoon high temperatures for 50 construction days during a year in St.Louis.a. Construct a frequency distribution for the data using five class intervals.b.
A packaging process is supposed to ﬁll small boxes of raisins with approximately 50 raisins so that each box will weigh the same. However, the number of raisins in each box will vary. Suppose 100
The owner of a fast-food restaurant ascertains the ages of a sample of customers. From these data, the owner constructs the frequency distribution shown. For each class interval of the frequency
The human resources manager for a large company commissions a study in which the employment records of 500 company employees are examined for absenteeism during the past year. The business researcher
List three speciﬁc uses of cumulative frequencies in business. Discuss.
Assembly times for components must be understood in order to “level” the stages of a production process. Construct both a histogram and a frequency polygon for the following assembly time data
A call center is trying to better understand staffing requirements. It investigates the number of calls received during the evening shift and obtains the information given below. Construct a
A real estate group is investigating the price a condominiums of a given size (sq ft).The following sales prices ($1,000) were obtained in one region of a city. Construct a stem and-leaf plot for the
The following data represent the number of passengers per flight in a sample of 50 flights from Wichita, Kansas to Kansas City, Missouri.a. Construct a dot plot for these data.b. Construct a
The Airports Council International (ACI) publishes data on the world€™s busiest airports. Shown below is a Minitab-produced histogram constructed from ACI data on the number of passengers
Study the Minitab-produced dot plot shown below of the number of farms per state in the United States. Comment on any observations that you make from the graph. What does this graph tell you about
A full-service car wash has an automated exterior conveyor car wash system that does the initial cleaning in a few minutes .However, once the car is through the system, car wash workers hand clean
A hundred or so boats go fishing every year for three or four weeks off of the Bering Strait for Alaskan king crabs. To catch these king crabs, large pots are baited and left on the sea bottom often
Shown here is a list of the top five semiconductor companies in the United States, along with their revenue ($ millions).Firm …………………….. Revenue ($ millions)Intel Corp.
The largest seven U.S. airlines in terms of enplaned passengers in 2012 were Delta Airlines with 22,845,340, United Airlines with 20,285,000, Southwest Airlines with 18,673,980, American Airlines
The following list shows the top six pharmaceutical companies in the United States and their sales figures ($ millions) for a recent year. Use this information to construct a pie chart and a bar
How do various currencies around the world stack up to the U.S. dollar? Shown below is a bar chart of the value of the currency of various countries in U.S. dollars as of April 2013.The currencies
An airline company uses a central telephone bank and a semi-automated telephone process to take reservations. It has been receiving an unusually high number of customer complaints about its
The U.S. National Oceanic and Atmospheric Administration, National Marine Fisheries Service, publishes data on the quantity and value of domestic fishing in the United States. The quantity (in
Are the advertising dollars spent by a company related to total sales revenue? The following data represent the advertising dollars and the sales revenues for various companies in a given industry
The human resources manager of a large chemical plant was interested in determining what factors might be related to the number of non-vacation days that workers were absent during the past year. One
A customer relations expert for a retail tire company is interested in determining if there is any relationship between a customer€™s level of education and his or her rating of the quality
For the following data, construct a frequency distribution with sixclasses.
For each class interval of the frequency distribution given, determine the class midpoint, the relative frequency and the cumulative frequency.Class Interval ...... Frequency20–under 25
Construct a histogram, a frequency polygon and an ogive for the following frequency distribution.Class Interval ........Frequency50–under 60.........1360–under 70.........2770–under
Construct a dot plot from the followingdata.
Construct a stem-and-leaf plot for the following data. Let the leaf contain onedigit.
Construct a pie chart from the following data.Label ........ .ValueA........... 55B............ 121C............
Construct a bar graph from the following data.Category FrequencyA............ 7B ...........
An examination of rejects shows at least 7 problems. A frequency tally of the problems follows. Construct a Pareto chart for these data.Problem Frequency1
The Whitcomb Company manufactures a metal ring for industrial engines that usually weighs about 50 ounces. A random sample of 50 of these metal rings produced the following weights (in ounces).a.
A northwestern distribution company surveyed 53 of its midlevel managers. The survey obtained the ages of these managers which later were organized into the frequency distribution shown. Determine
Suppose 1000 commuters in New York City submit their typical daily commute time to a transportation research company who then organizes the data into the histogram shown below. Study the histogram
The following data are shaped roughly like a normal distribution (discussed in Chapter 6).Construct a frequency distribution starting with 10 as the lowest class beginning point and use a class width
In a medium-sized southern city, 86 houses are for sale, each having about 2000 square feet of floor space. The asking prices vary. The frequency distribution shown contains the price categories for
Shipping a 40-foot container by boat from Shanghai to Chicago via the port of Los Angeles takes, on average, 16 days. However, due to several possible mitigating circumstances, shipping times can
Good, relatively inexpensive prenatal care often can prevent a lifetime of expense owing to complications resulting from a baby’s low birth weight. A survey of a random sample of 57 new mothers
A consumer group surveyed food prices at 87 stores on the East Coast. Among the food prices being measured was that of sugar. From the data collected, the group constructed the frequency distribution
The top music genres according to SoundScan for 2012 are Rock, Alternative, R&B, and Country. These and other music genres along with the number of albums sold in each (in millions) are shown
The following figures for U.S. imports of agricultural products and manufactured goods were taken from selected years over a 30-year period (in $ billions). The source of the data is the U.S.
Shown here is a list of the industries with the largest total release of toxic chemicals in a recent year according to the U.S. Environmental Protection Agency. Construct both a bar chart and a pie
A manufacturing company produces plastic bottles for the dairy industry. Some of the bottles are rejected because of poor quality. Causes of poor-quality bottles include faulty plastic, incorrect
A research organization selected 50 U.S. towns with Census 2010 populations between 4000 and 6000 as a sample to represent small towns for survey purposes. The populations of these towns
Shown below is a scatter plot of the NASDAQ€“100 Index versus the Dow Jones Industrial Average on Friday closings over a period of one year (May 1,2009,to April 23, 2010).What does the
Construct an ogive for the following data.Class Interval ...... Frequency3–under 6 ......... 26–under 9 ........ 59–under 12 ........ 1012–under 15 ........ 1115–under 18
It seems logical that the number of days per year that an employee is tardy is at least somewhat related to the employee€™s job satisfaction. Suppose 10 employees are asked to record how
Construct a scatter plot for the following two numerical variables.x ............ y12 ............ 517 ............ 39 ............ 106 ............ 1510 ............ 814 ............ 98
Procter & Gamble has been the leading soap manufacturer in the United States since 1879, when it introduced Ivory soap. However, late in 1991, its major rival, Lever Bros. (Unilever), overtook it by
Determine the median and the mode for the followingnumbers.
Determine the median for the followingnumbers.
Compute the mean for the followingnumbers.
Compute the mean for the followingnumbers.
Compute the 35th percentile, the 55th percentile, Q1, Q2 and Q3for the followingdata.
Compute P20, P47, P83, Q1, Q2 and Q3 for the followingdata.
On a certain day, the average closing price of a group of stocks on the New York Stock Exchange (to the nearest dollar) isshown.
The following list shows the 15 largest banks in the world by assets according to EagleTraders.com. Compute the median and the mean assets from this group. Which of these two measures do think is
The number of cars in service by the top 10 U.S. car rental companies in 2012 according to Auto Rental News follows. Compute the median, Q3, P20, P60, P80, and P93 on these data.Company ......Number
The following lists the number of fatal accidents by scheduled commercial airlines over a 17-year period according to the Air Transport Association of America. Using these data, compute the mean,
A data set contains the following seven values.a. Find the range.b. Find the mean absolute deviation.c. Find the population variance.d. Find the population standard deviation.e. Find the
A data set contains the following eight values.a. Find the range.b. Find the mean absolute deviation.c. Find the sample variance.d. Find the sample standard deviation.e. Find the inter-quartilerange.
A data set contains the following six values.a. Find the population standard deviation using the formula containing the mean (the original formula).b. Find the population standard deviation using the
The following sample data represent the time (in minutes) required by business executives to complete an expense report. Determine the inter-quartile range on these data and comment on what itmeans.
According to Chebyshev’s theorem, at least what proportion of the data will be within µ ± kσ for each value of k?a. k = 2b. k = 2.5c. k = 1.6d. k = 3.2
Compare the variability of the following two sets of data by using both the population standard deviation and the population coefficient of variation.Data Set 1 ....Data Set 249 ........15982
A sample of 12 small accounting firms reveals the following numbers of professionals per office.a. Determine the mean absolute deviation.b. Determine the variance.c. Determine the standard
Shown below are the top food and drug stores in the United States in a recent year according to Supermarket News and Chain Drug Review.Company .......Revenues ($ billions)Walmart ........258.5Kroger
A distribution of numbers is approximately bell shaped. If the mean of the numbers is 125 and the standard deviation is 12, between what two numbers would approximately 68% of the values fall?
Some numbers are not normally distributed. If the mean of the numbers is 38 and the standard deviation is 6, what proportion of values would fall between 26 and 50? What proportion of values would
sThe time needed to assemble a particular piece of furniture with experience is normally distributed with a mean time of 43 minutes. If 68% of the assembly times are between 40 and 46 minutes, what
Environmentalists are concerned about emissions of sulfur dioxide into the air. The average number of days per year in which sulfur dioxide levels exceed 150 milligrams per cubic meter in Milan,

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