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business statistics communicating
Questions and Answers of
Business Statistics Communicating
What is the perfect summer trip? A National Geographic Kids survey (AAA Horizons, April 2007) asked this question to 316 children ages 8 to 14. Their responses are given in the following frequency
A recent survey asked 5,324 individuals: "What's most im portant to you when choosing where to live?" The responses are shown in the following relative frequency distribution.a. Construct the
Fifty pro-football rookies were rated on a scale of 1 to 5, based on performance at a training camp as well as on past performance. A ranking of 1 indicated a poor prospect whereas a ranking of 5
AccuWeather.com reported the following weather delays at these major U.S. airline hubs for July 21, 2010:a. Construct a frequency and a relative frequency distribution that summarizes the delays at
A survey asked chief executives at leading U.S. firms the following question: "Where do you expect the U.S. economy to be 12 months from now?" A representative sample of their responses appears
First-time patients at North Shore Family Practice are required to fill out a questionnaire that gives the doctor an overall idea of each patient's health. The first question is:"In general, what is
A local restaurant is committed to providing its patrons with the best dining experience possible. On a recent survey, the restaurant asked patrons to rate the quality of their entrees.The responses
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
What is the perfect summer trip? A National Geographic Kids survey (AAA Horizons, April 2007) asked this question to 316 children ages 8 to 14. Their responses are given in the following frequency
A recent survey asked 5,324 individuals: "What's most im portant to you when choosing where to live?" The responses are shown in the following relative frequency distribution.a. Construct the
Fifty pro-football rookies were rated on a scale of 1 to 5, based on performance at a training camp as well as on past performance. A ranking of 1 indicated a poor prospect whereas a ranking of 5
AccuWeather.com reported the following weather delays at these major U.S. airline hubs for July 21, 2010:a. Construct a frequency and a relative frequency distribution that summarizes the delays at
A survey asked chief executives at leading U.S. firms the following question: "Where do you expect the U.S. economy to be 12 months from now?" A representative sample of their responses appears
First-time patients at North Shore Family Practice are required to fill out a questionnaire that gives the doctor an overall idea of each patient's health. The first question is:"In general, what is
A local restaurant is committed to providing its patrons with the best dining experience possible. On a recent survey, the restaurant asked patrons to rate the quality of their entrees.The responses
The accompanying table shows a portion of the 30 companies that comprise the Dow Jones Industrial Average(DJIA); the full data set can be found on the text website and is labeled DOW Characteristics.
A professor records the majors o f her 30 students as follows:a. What is the measurement scale of these data?b. Summarize the results in tabular form.c. What information can be extracted from the
National Products is a distributor of printer and copier paper for commercial use. The data file called Sales contains the annual, year-to-date sales values for each of the company’s customers.
The Jordeen Bottling Company did an extensive sampling of its soft-drink inventory in which 5,000 cans were sampled. Employees weighed each can and used these weights to determine the fluid ounces in
In 2015, Mortal Kombat X was one of the most popular video games (source: Chris Morris, “‘Mortal Kombat’secrets discovered after 24 years,” http://fortune.com, Feb. 26, 2016). The file titled
In an article titled “Airport screeners’ strains, sprains highest among workers,” Thomas Frank reported that the injury rate for airport screeners was 29%, far exceeding the 4.5% injury rate
A random sample of 25 4-wheel-drive pickups of the same year and model revealed the following miles per gallon (mpg) values:12.4 13.0 12.6 12.1 13.1 13.0 12.0 13.1 11.4 12.6 9.5 13.25 12.4 10.7 11.7
Arco Manufacturing makes electronic video recorders.As part of its quality efforts, the company wishes to estimate the mean number of days a video recorder is used before it needs repair. A pilot
The Yap family has a total of three members. They spend 30 hours every day on the Internet.a. Calculate the average time spent on the Internet in a day by each member of the Yap family.b. If the
As a financial consultant with AIA, Sebastian is assisting his client to determine the average annual return on mutual funds. He selected a random sample of 60 returns, which shows a mean of 12% and
David was measuring the amount of time he spends watching TV every day. To analyze his habits, for 14 days David recorded the amount of time he spent watching TV. He determines an average of 30
When we need to estimate the population mean, and the population standard deviation is unknown, we are hit with a “double whammy” when it comes to the margin of error. Explain what the “double
The Emerging Workforce Study conducted by Harris Interactive on behalf of Spherion, a leader in providing value-added staffing, recruiting, and workforce solutions, utilized a random sample of 225
According to the Retirement Confidence Survey, in 2015, 36% of individuals expected to begin retirement after the age of 65 (source: 2015 RCS Fact Sheet # 2, Expectations about retirement,
Suppose that 34% of workers between the ages of 35 and 44 own a 401(k)-type retirement plan. Suppose the Atlanta Chamber of Commerce conducted a survey to determine the participation rate of 35- to
An automobile’s color is one of the factors that influences a consumer’s demand for it. Suppose a car manufacturer in your country is planning to launch a new model and is deciding on the colors
Suppose a survey of individuals between the ages of 26 and 82 indicated that 66% of seniors, 61% of Baby Boomers, and 58% of Generation X expect IRAs to be their primary source of income in
According to studies by the Pew Research Center and the United Nations (UN), immigrants have a proven economic benefit. Based on reports, between 2005 and 2015, countries in the Middle East have seen
A courier company is trying to improve the quality of the services provided to its customers. For local deliveries, the company guarantees that all orders will be delivered within 24 hours. To
Many companies have started to feature female models who are not the traditional thin women who have graced magazine covers for the last 20 to 25 years.Suppose Calvin Klein conducted a survey of
A sport teacher is selecting students who will be attending the school’s Annual Sports Day. He needs to identify students who will qualify for the high jump competition. Based on his past
Most major airlines allow passengers to carry one luggage item (of a certain maximum size) and one personal item onto the plane. However, suppose the more carry-on baggage passengers have, the longer
The television landscape has changed as networks compete with streaming services such as Netflix and Hulu. Suppose that CBS plans to conduct interviews with television viewers in an attempt to
A survey of 499 women revealed that 38% wear flats to work.a. Use this sample information to develop a 99%confidence interval for the population proportion of women who wear flats to work.b. Suppose
According to a study, over the three years almost twothirds of newspapers in a country published less foreign news compared to local news. Only 10% of the editors said they considered foreign news
A random sample of 40 television viewers was asked if they had watched the current week’s The Voice. The following data represent their responses:no no no yes no no no yes no yes no no no yes no no
Compute the 90% confidence interval estimate for the population proportion, p, based on a sample size of 100 when the sample proportion, p, is equal to 0.40.
Premium Information Solutions, Inc., specializes in providing call center services for companies that wish to outsource their call center activities. Premium Information Solutions is currently
According to the Office of Personnel Management(www.OPM.gov), in 2015 the average hourly wage rate for federal employees was slightly higher than $43.The file titled Paychecks contains a random
Bruce Leichtman is president of Leichtman Research Group, Inc. (LRG), which specializes in research and consulting on broadband, media, and entertainment industries. In a survey, the company
More than ever before, film production companies are gravitating toward Eastern Europe. Studios there have a reputation of skilled technical work at a relatively low cost. Bulgaria is one country
The average monthly cable television bill is estimated to be $99.10 (source: Yoni Heisler, “The average cable bill has increased by nearly 40% in 5 years,” http://bgr.com, Sep. 9, 2015). Suppose
The Longmont Computer Leasing Company wishes to estimate the mean number of pages that will be printed in a month on its leased printers. The plan is to select a random sample of printers and record
Apart from being fun, toys are an important part of the physical and mental development of children. Parents play a role in assisting their children in picking the right toys. An industrial designer
The Northwest Pacific Phone Company wishes to estimate the average number of minutes its customers spend on long-distance calls per month. The company wants the estimate made with 99% confidence and
With the high cost of fuel and intense competition, the major airline companies have had a very difficult time financially in recent years. Many carriers are now charging for checked bags. One
A production process that fills 12-ounce cereal boxes is known to have a population standard deviation of 0.009 ounce. If a consumer protection agency would like to estimate the mean fill, in ounces,
A decision maker is interested in estimating the mean of a population based on a random sample. She wants the confidence level to be 90% and the margin of error to be {0.30. She does not know what
Calculate the smallest sample size required to estimate the population mean under the following specifications:a. confidence level 95,, s = 16, and e = 4b. confidence level 90,, s = 23, and e = 0.5c.
Suppose a study estimated the population mean for a variable of interest using a 99% confidence interval. If the width of the estimated confidence interval (the difference between the upper limit and
A manager wishes to estimate a population mean using a 95% confidence interval estimate that has a margin of error of {44.0. If the population standard deviation is thought to be 680, what is the
The per capita consumption of chicken rose from 36.9 pounds in 1965 to 90.1 pounds in 2015 according to the National Chicken Council (www.nationalchickencouncil.org). Suppose the organization wishes
The TSA PreCheck program is intended to be a way to shorten airline security lines for “trusted travelers.”Suppose 13,000 people living in a major southern city paid an annual $80 fee to
The manager at a new tire and repair shop in Hartford, Connecticut, wants to establish guidelines for the time it should take to put new brakes on vehicles. In particular, he is interested in
One of the reasons for multiple car accidents on highways is thought to be poor visibility. One of this text’s authors participated in a study of one rural section of highway in Idaho that had been
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