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business statistics communicating
Questions and Answers of
Business Statistics Communicating
The follo w in g table shows the revenues (in m illions o f dollars) fo r The Gap, Inc., and American Eagle O utfitters, Inc., for the years 2008–2010.a. Calculate the average grow th rate fo r
The follow ing table shows the annual returns (in percent) for Fidelity's Electronic and U tilities funds.a. Calculate the sample mean, the sample variance, and the sample standard deviation fo r
The follow ing table lists the sales (in m illions o f dollars) of the to p Italian restaurant chains in 2009.Calculate the mean, the median, and the mode. Which measure o f central tendency best
Annual grow th rates for individual firm s in the toy industry tend to fluctuate dramatically, depending on consumers'tastes and current fads. Consider the follow ing grow th rates (in percent) for
A social scientist wants to analyze the relationship between educational attainment and salary. He collects the following sample of data where "Education" refers to years of higher education and
The director of graduate admissions at a local university is analyzing the relationship between scores on the Graduate Record Examination (GRE) and subsequent performance in graduate school, as
In an attempt to determine whether a linear relationship exists between the price of a home and the number of days it takes to sell the home, a real estate agent collected the following data from
The following table shows the annual returns (in percent) for th e T-Rowe Price's Value and International Stock funds for the time period 2005-2009. R-96a. Calculate and interpret the covariance
Consider the following sample data: R-96a. Calculate the covariance between the variables.b. Calculate and interpret the correlation coefficient. -2 0 3 4 7 y -2 -3 -8 -9 -10
Consider the following sample data:a. Calculate the covariance between the variables.b. Calculate and interpret the correlation coefficient. R-96 X 12 18 20 22 25 y 15 20 25 22 27
An investor bought common stock of Dell Inc. Corporation on three occasions at the following prices.a. What is the average price per share if the investor had bought 100 shares in January, 60 in
The National Sporting Goods Association (NSGA) conducted a survey of the ages of people that purchased athletic footwear in 2009. The ages are summarized in the following relative frequency
The Boston Security Analysts Society, Inc. (BSAS) is a nonprofit association that serves as a forum for the exchange of ideas for the investment community. Suppose the ages of its members are based
A researcher conducts a mileage economy test involving 80 cars. The frequency distribution describing average miles per gallon (mpg) appears below. R-96a. Calculate the mean mpg.b. Calculate the
An investor bought common stock of Microsoft Corporation on three occasions at the following prices. R-96Calculate the average price per share at which the investor bought these shares. Date Price
A local hospital provided the following frequency distribution summarizing the weights of babies delivered over the month of January. R-96a. Calculate the mean weight.b. Calculate the variance and
Fifty cities provided information on vacancy rates (in percent)in local apartments in the following frequency distribution. R-96a. Calculate the average vacancy rate.b. Calculate the variance and the
The following relative frequency distribution was constructed from a population of 200. Calculate the population mean, the population variance, and the population standard deviation. R-96 Class
Consider the following frequency distribution. R-96a. Calculate the sample mean.b. Calculate the sample variance and the sample standard deviation. Class Frequency 50 up to 60 10 60 up to 70 15 70 up
Consider the following frequency distribution. R-96a. Calculate the population mean.b. Calculate the population variance and the population standard deviation. Class Frequency 2 up to 4 20 4 up to 6
Recall the frequency distribution of house prices we constructed in Chapter 2.a. Calculate the average house price.b. Calculate the sample variance and the sample standard deviation. R-96 Class (in
The following table shows the annual returns (in percent) and summary measures for the Fidelity Latin America Fund and the Fidelity Canada Fund from 2005 through 2009. R-96a. Which fund had the
The following table shows the annual returns (in percent)and summary measures for the Vanguard Energy Fund and the Vanguard Health Care Fund from 2005 through 2009. R-96a. Which fund had the higher
Consider the following returns for two investments, A and B: R-96a. Which investment provides the higher return?b. Which investment provides the least risk?c. Given a risk-free rate of 1.2%,
Consider the following data for two investments, A and B:a. Which investment provides the higher return? Which investment provides the least risk? Explain.b. Given a risk-free rate of 1.4%, calculate
Consider the following data for two investments, A and B:a. Which investment provides the higher return? Which investment provides the least risk? Explain.b. Given a risk-free rate of 2%, calculate
FILE While the housing market is in recession and is not likely to emerge anytime soon, real estate investment in college towns continues to promise good returns(The Wall Street Journal, September
The monthly closing stock prices (rounded to the nearest dollar) for Starbucks Corp. and Panera Bread Co. for the first six months of 2010 are reported in the following table. R-96a. Calculate the
The Department of Transportation (DOT) fields thousands of complaints about airlines each year. The DOT categorizes and tallies complaints, and then periodically publishes rankings of airline
Consider the following sample data: R-96a. Calculate the range.b. Calculate MAD.c. Calculate the sample variance.d. Calculate the sample coefficient of variation. -10 12 -8 -2 4 8 00
Consider the following sample data: R-96 40 46 32 552 38 42 a. Calculate the range. b. Calculate MAD. c. Calculate the sample variance. d. Calculate the sample standard deviation.
Consider the following population data: R-96 0 4 2 -8 10 a. Calculate the range. b. Calculate MAD. c. Calculate the population variance. d. Calculate the population standard deviation.
Consider the following population data: R-96 36 42 12 10 22 a. Calculate the range. b. Calculate MAD. c. Calculate the population variance. d. Calculate the population standard deviation.
The following table shows sales for Nike (in millions of $) for the years 2005 through 2009. R-96a. Use the growth rates for 2005–2006, 2006–2007, 2007–2008, and 2008-2009 to calculate the
The following table shows the total revenue (in billions of $)for Walmart Stores, Inc. and Target Corp. for the years 2008-2010. R-96a. Calculate the average growth rate for each firm.b. Which firm
Home Depot and Lowe's are the two largest home improvement retailers in the U.S. The following table shows the total revenue (in billions) for each retailer for the years 2008–2010. R-96a.
Suppose at the beginning of 2005 you decide to invest$20,000 in Driehaus' Emerging Markets Growth mutual fund. The following table shows the returns for the years 2005-2009. R-96a. Calculate and
Suppose at the beginning of 2006 you decide to invest$1,000 in Vanguard's European Stock Index mutual fund. The following table shows the returns for the years 2006-2009. R-96a. Calculate and
Calculate the average growth rate from the following growth rates. R-96 2.5% 3.6% 1.8% 2.2% 5.2%
Consider the following observations of a time series: R-96a. Calculate the growth rates for Year 1-Year 2, Year 2–Year 3, and Year 3–Year 4.b. Calculate the average growth rate. Year 1 Year 2
Consider the following observations of a series: R-96a. Calculate the growth rates for Year 1-Year 2, Year 2-Year 3, and Year 3-Year 4.b. Calculate the average growth rate. Year 1 Year 2 Year 3 Year
Calculate the geometric mean return of the following data set: R-96 -3% 2% -5% 2.7% 3.1%
Calculate the average growth rate return of the following data set: R-96 4% 8% -5% 6%
A price-earnings ratio or P/E ratio is calculated as a firm's share price compared to the income or profit earned by the firm per share. Generally, a high P/E ratio suggests that investors are
Scores on the final in a statistics class are as follows.a. Calculate and interpret the 25th, 50th, and 75th percentiles.b. Construct a box plot. Are there any outliers? Is the distribution
Consider the following data set:a. Calculate and interpret the 25th, 50th, and 75th percentiles.b. Construct a box plot. Are there any outliers? R-96 0.04 0.10 -0.05 -0.02 0.08 0.15 -0.09
Consider the following data set: R-96a. Calculate and interpret the 25th, 50th, and 75th percentiles.b. Construct a box plot. Are there any outliers? 12 9 27 15 58 35 21 32 22 22
Calculate the 20th, 40th, and 70th percentiles for the following data set: R-96 -300 -257 -325 -234 -297 -362 -255
Calculate the 20th, 50th, and 80th percentiles for the following data set: R-96 120 215 187 343 268 196 312
One important statistic in baseball is a pitcher's earned run average, or ERA. This number represents the average number of earned runs given up by the pitcher per nine innings. The following table
The Massachusetts Department of Public Health reported the following prevalent causes of death in the state. R-96Which measure of central location is most useful in making staffing decisions at
The following table shows Fortune 500's rankings of America's 10 largest corporations for 2010. Next to each corporation is its market capitalization (in billions of dollars as of March 26, 2010) and
The following table shows the 10 highest-paid chief executive officers of the last decade. R-96a. Calculate the mean compensation for the 10 highestpaid chief executive officers.b. Does the mean
The following table shows the retail price for a box of 12 Titleist Pro golf balls from around the world; the data, labeled Titleist, can also be found on the text website. R-96a. In what city are
Given the following observations from a population, calculate the mean, the median, and the mode. R-96 20 20 15 25 25 20 10 15 25 20 15
Given the following observations from a population, calculate the mean, the median, and the mode. R-96 150 257 55 110 110 43 201 125 55
Given the following observations from a sample, calculate the mean, the median, and the mode. R-69 -4 0 -6 1 -3 -4
Given the following observations from a sample, calculate the mean, the median, and the mode. R-69 00 8 10 9 12 12
Seven people work at Acetech, a small technology firm in Seattle. Their salaries over the past year are listed in Table 3.2. Compute the mean salary for this firm and discuss whether it accurately
The fo llow ing table lists the U.S. sales (in $ m illions) of prescription drugs used to treat seizure disorders.a. Construct a relative frequency distribution.b. For what percentage of sales did
A survey conducted by CBS News asked 1,026 respondents:"What would you do with an unexpected tax refund?" The responses are summarized in the following table.a. Construct a bar chart for these
A recent poll of 3,057 individuals asked: "What's the longest vacation you plan to take this summer?" The following relative frequency distribution summarizes the results.a. Construct a frequency
Money magazine (January 2007) reported that an average of 77 million adults in the U.S. make financial resolutions at the beginning of a new year. Consider the following frequency distribution, which
The Statistical Abstract o f the United States, 2010 provided the following frequency distribution of the number of people who live below the poverty level by region.a. Construct a relative frequency
The one-year return (in %) for 24 mutual funds is as follows:a. Construct a frequency distribution using classes of —20 up to —10, —10 up to 0, etc.b. Construct the relative frequency, the
A survey conducted by CBS News asked parents about the professions they would want their children to pursue. The results are summarized in the following table.a. Construct a bar chart and a pie chart
Patrons at a local restaurant were asked to rate their recent experience at the restaurant with respect to its advertised atmosphere of upbeat, comfortable, and clean. Possible responses included
A 2003 survey by the Centers for Disease Control and Prevention concluded that smoking is forbidden in nearly 75% of U.S. households (Boston Globe, May 25, 2007). The survey gathered responses from
In an attempt to determine whether a relationship exists between the price of a home and the number of days it takes to sell the home, a real estate agent collects data on the recent sales of eight
In order to diversify risk, investors are often encouraged to invest in assets whose returns have either a negative relationship or no relationship. The annual return data on two assets is shown
A recent study offers evidence that the more weight a woman gains during pregnancy, the higher the risk of having a high-birth-weight baby, defined as 8 pounds, 13 ounces, or 4 kilograms (The Wall
A statistics instructor wants to examine whether a relationship exists between the hours a student spends studying for the final exam (Hours) and a student's grade on the final exam (Grade). She
Construct a scatterplot with the following data. Categorize the relationship between x and y . R-69 X 1 2 3 4 5 y 22 20 18 10 5 64 6 7 4 3 82
Construct a scatterplot with the following data. Does a linear relationship exist between x and y? R-69 10 4 6 3 7 3 2 6 6 4
Construct a scatterplot with the following data. Categorize the relationship between x and y. R-69 3 7 12 5 6 y 22 10 5 14 12
Spain was the winner of the 2010 World Cup, beating the Netherlands by a score of 1–0. The ages of the players from both team s were as follows: R-69Construct a stem-and-leaf diagram for each
A police officer is concerned with excessive speeds on a portion o f Interstate 90 w ith a posted speed lim it o f 65 miles per hour. Using his radar gun, he records the following speeds for 25 cars
Suppose the following high temperatures were recorded for major cities in the contiguous United States for a day in July.Construct and interpret a stem-and-leaf diagram. R-69 84 92 96 91 96 94 93 82
A sample of patients arriving at Overbrook Hospital's emergency room recorded the following body temperature readings over the weekend:Construct and interpret a stem-and-leaf diagram. R-69 100.4 99.6
Consider the following data set:Construct a stem-and-leaf diagram. Is the distribution symmetric? Explain. R-69 -64 -52 -73 -82-85-80 -79 -65-50-71 80 -85-75-65-77-87-72-83 -73-80
Consider the following data set:Construct a stem-and-leaf diagram. Is the distribution symmetric? Explain. R-69 5.4 4.6 3.5 2.8 2.6 5.5 5.5 2.3 3.2 4.2 4.0 3.0 3.6 4.5 4.7 4.2 3.3 3.2 4.2 3.4
The manager of a nightclub near a local university recorded the ages of the last 100 guests in the following cumulative frequency distribution.a. Construct the corresponding frequency, relative
The following relative frequency distribution summarizes the ages of women who had a child in the last year.a. Assume the relative frequency distribution is based on a sampling of 2,000 women.
Fifty cities provided information on vacancy rates (in percent)in local apartments in the following frequency distribution.a. Construct the corresponding relative frequency distribution, cumulative
The following table lists a portion of the average math SAT scores for each state for the year 2009.The complete data set can be found on the text website and is labeled Math SAT 2009.a. Construct a
AccuWeather.com listed the following high temperatures(in degrees Fahrenheit) for 33 European cities on July 21, 2010.a. Construct a frequency distribution using classes of 60 up to 70, 70 up to 80,
The numbers of texts sent by 25 13-year-olds over the past month were as follows:a. Construct a frequency distribution using classes of 500 up to 600,600 up to 700, etc.b. Construct the relative
Kiplinger's (August 2007) lists the assets (in billions of $) for the 20 largest stock mutual funds (ranked by size) as follows:a. Construct a frequency distribution using classes of 40 up to 70, 70
Consider the following cumulative relative frequency distribution.a. Construct a relative frequency distribution. What percent of the observations are at least 250 but less than 300?b. Graph an
Consider the following relative frequency distribution:a. Suppose this relative frequency distribution is based on a sample of 50 observations. Construct a frequency distribution. How many of the
Consider the following cumulative frequency distribution:a. Construct a frequency distribution. How many observations are at least 35 but less than 45?b. Graph a frequency histogram.c. What percent
Consider the following frequency distribution:a. Construct a relative frequency distribution. What percent of the observations are at least 1100 but less than 1200?b. Construct a cumulative frequency
Consider the following frequency distribution:a. Construct a relative frequency distribution. Graph a relative frequency histogram.b. Construct a cumulative frequency distribution and a cumulative
Consider the following data set:a. Construct a frequency distribution using classes of -1 0 up to 0,0 up to 10, etc. How many of the observations are at least 10 but less than 20?b. Construct a
Consider the following data set:a. Construct a frequency distribution using classes of 3 up to 5,5 up to 7, etc.b. Construct relative frequency, cumulative frequency, and cumulative relative
Annual sales at a small pharmaceutical firm have been rather stagnant over the most recent five-year period, exhibiting only 1.2% growth over this time frame. A research analyst prepares the
The accompanying figure plots the monthly stock price of Caterpillar, Inc., from July 2009 through March 2011. The stock has experienced tremendous growth over this time period, almost tripling in
A 2010 poll conducted by NBC asked respondents who would win Super Bowl XLV in 2011. The responses by 20,825 people are summarized in the following table.a. How many responses were for "Others"?b.
A survey conducted by CBS News asked 829 respondents which of the following events will happen first. The responses are summarized in the following table:a. Construct a bar chart and a pie chart for
The following table lists U.S. revenue (in $ billions) of the major car-rental companies.a. Construct a relative frequency distribution.b. Hertz accounted for what percentage of sales?c. Construct a
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