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Questions and Answers of Statistics

Shown below are the per diem business travel expenses in 11 international cities listed by Business Affairs of Oregon State University. Use this list to calculate the z scores for Moscow, Beijing,
Compute the mean, the median, and the mode for the following data.Class .........f0–under 2 .......392–under 4 .......274–under 6 .......166–under 8 .......158–under 10 .......1010–under
Compute the mean, the median, and the mode for the following data.Class ......... f1.2–under 1.6 .......2201.6–under 2.0 .......1502.0–under 2.4 ....... 902.4–under 2.8 .......1102.8–under
Determine the population variance and standard deviation for the following data by using the original formula.Class ......... f20–under 30 ....... 730–under 40 .......1140–under 50
Determine the sample variance and standard deviation for the following data by using the computational formula.Class ......... f5–under 9 ........209–under 13 ........1813–under 17 ........
A random sample of voters in Nashville, Tennessee, is classified by age group, as shown by the following data.Age Group .....Frequency18–under 24 ......1724–under 30 ......2230–under 36
The following data represent the number of appointments made per 15-minute interval by telephone solicitation for a lawn-care company. Assume these are population data.Number of .....
The Air Transport Association of America publishes figures on the busiest airports in the United States. The following frequency distribution has been constructed from these figures for a recent
The frequency distribution shown represents the number of farms per state for the 50 United States, based on information from the U.S. Department of Agriculture. Determine the average number of farms
Construct a box-and-whisker plot on the following data. Do the data contain any outliers? Is the distribution of dataskewed?
Suppose a consumer group asked 18 consumers to keep a yearly log of their shopping practices and that the following data represent the number of coupons used by each consumer over the yearly period.
The 2010 U.S. Census asked every household to report information on each person living there. Suppose for a sample of 30 households selected, the number of persons living in each was reported as
The 2010 U.S. Census also asked for each person€™s age. Suppose that a sample of 40 households taken from the census data showed the age of the first person recorded on the census form to
Shown below are the top 15 market research firms in the United States in 2010 according to Inside Research and the 2011 Honomichl report. Compute the mean, median, P30, P60, P90, Q1, Q3, range, and
Shown here are the top twelve biggest oil and gas companies in the world according to Forbes. Use these as population data and answer the questions that follow.Production VolumeCompany
The U.S. Department of the Interior releases figures on mineral production. Following are the 15 leading states in nonfuel mineral production in the United States for 2010.State .......Value ($
The radio music listener market is diverse. Listener formats might include adult contemporary, album rock, top 40, oldies, rap, country and western, classical, and jazz. In targeting audiences,
A research agency administers a demographic survey to 90 telemarketing companies to determine the size of their operations. When asked to report how many employees now work in their telemarketing
The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution of ages of cars on U.S. roads is approximately bell-shaped. If 99.7% of
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 27 minutes. a.
The following are the per capita GDP figures for eight eastern European countries according to International Monetary Fund sources. Note: The per capita GDP for the United States is $48,328.Country
According to the U.S. Army Corps of Engineers, the top 20 U.S. ports, ranked by total tonnage (in million tons), were as follows.Port ..............Total TonnageSouth Louisiana, LA
Runzheimer International publishes data on overseas business travel costs. They report that the average per diem total for a business traveler in Paris, France, is $349. Suppose the shape of the
Netvalley.com compiled a list of the top 100 banks in the United States according to total assets. Leading the list was Bank of America, followed by JPMorgan Chase and Citibank. Following is an Excel
Hispanic Business magazine publishes a list of the top 50 advertisers in the Hispanic market. The advertising spending for each of these 50 advertisers (in $ millions) was entered into a Minitab
Excel was used to analyze the number of employees for the top 60 employers with headquarters around the world outside of the United States. The data was compiled by myglobalcareer.com, extracted from
The Nielsen Company compiled a list of the top 25 advertisers in African American media. Shown below are a Minitab descriptive statistics analysis of the annual advertising spending in $ million by
Use your calculator or computer to find the sample variance and sample standard deviation for the followingdata.
Use your calculator or computer to find the population variance and population standard deviation for the followingdata.
According to Chebyshev’s theorem, how many standard deviations from the mean would include at least 80% of the values?
On a certain day the average closing price of a group of stocks on the New York Stock Exchange is $35 (to the nearest dollar).If the median value is $33 and the mode is $21, is the distribution of
A local hotel offers ballroom dancing on Friday nights. A researcher observes the customers and estimates their ages. Discuss the skewness of the distribution of ages if the mean age is 51, the
Shown in the left column are the top 10 companies receiving the largest dollar volume of contract awards from the U.S. Department of Defense in 2012 according to Barr Group Aerospace. Use this
Financial analysts like to use the standard deviation as a measure of risk for a stock. The greater the deviation in a stock price over time, the more risky it is to invest in the stock. However, the
According to the Bureau of Labor Statistics, the average annual salary of a worker in Detroit, Michigan, is $35,748.Suppose the median annual salary for a worker in this group is $31,369 and the mode
The Coca-Cola Company is the number-one seller of soft drinks in the world. Every day an average of more than 1.6 billion servings of Coca-Cola, Diet Coke, Sprite, Fanta and other products of
A supplier shipped a lot of six parts to a company. The lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects. How large a sample
Given A = {1,3,5,7,8,9}, B ={2,4,7,9},and C ={1,2,3,4,7},solve the following.a. A ∪ C = _____b. A ∩ B = _____c. A ∩ C = _____d. A ∪ B ∪ C = _____e. A ∩ B ∩ C = _____f. (A ∪ B) ∩ C =
If a population consists of the positive even numbers through 30 and if A = {2, 6, 12, 24}, what is A ?
A bin contains six parts. Two of the parts are defective and four are acceptable. If three of the six parts are selected from the bin, how large is the sample space? Which counting rule did you use
Given P(A) =.10, P(B) =.12, P(C) =.21, P(A ∩ C) =.05 and P(B ∩ C) =.03, solve the following.a. P(A ∪ C) = ______b. P(B ∪ C) = ______c. If A and B are mutually exclusive, P(A ∪ B) = ______
Use the values in the cross-tabulation table to solve the equations given.a. P(A âˆª D) = ______b. P(E âˆª B) = ______c. P(D âˆª E) = ______d. P(C âˆª F) =______
Use the values in the joint probability table to solve the equations given.a. P(A âˆª F) = _______b. P(E âˆª B) = _______c. P(B âˆª C) = _______d. P(E âˆª F) =_______
According to a survey conducted by Netpop Research, 65% of new car buyers use online search engines as part of their car-buying experience .Another study reported that 11% of new car buyers skip the
According to the U.S. Bureau of Labor Statistics, 75% of the women 25 through 49 years of age participate in the labor force. Suppose 78% of the women in that age group are married. Suppose also that
According to Nielsen Media Research, approximately 52% of all U.S. households have digital cable television. In addition, 84% of all U.S. households have multiple TV sets. Suppose 45% of all U.S.
A survey conducted by the Northwestern University Lindquist-Endicott Report asked 320 companies about the procedures they use in hiring. Only 54% of the responding companies review the applicant’s
Use the values in the cross-tabulation table to solve the equations given.a. P(A ∩ E) =_____b. P(D ∩ B) =_____c. P(D ∩ E) =_____d. P(A ∩ B) =_____
Use the values in the joint probability table to solve the equations given.a. P(E âˆ© B) =_____b. P(C âˆ© F) =_____c. P(E âˆ© D)=_____
a. A batch of 50 parts contains six defects. If two parts are drawn randomly one at a time without replacement, what is the probability that both parts are defective?b. If this experiment is
The U.S. Energy Department states that 60% of all U.S. households have ceiling fans. In addition, 29% of all U.S. households have an outdoor grill. Suppose 13% of all U.S. households have both a
A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult
According to Reuters, a survey undertaken by the National Center for Health Statistics revealed that about 25% of U.S. households have only a cell phone (no land line).According to the FCC, 65% of
A study by Becker Associates, a San Diego travel consultant, found that 30% of the traveling public said that their flight selections are influenced by perceptions of airline safety. Thirty-nine
A nationwide CareerBuilder survey was conducted regarding the job hunting experience. From the survey, it was learned that 26% of workers have had a bad experience as a job applicant. Eighty-two
Use the values in the cross-tabulation table to solve the equations given.a. P(G | A) = _____b. P(B | F) = _____c. P(C | E) = _____d. P(E | G)=_____
Use the values in the joint probability table to solve the equations given.a. P(C | A) = _____b. P(B | D) = _____c. P(A | B) =_____
The results of a survey asking, â€œDo you have a calculator and/or a computer in your home?â€ follow.Is the variable â€œcalculatorâ€ independent of the variable
In a recent year, business failures in the United States numbered 83,384, according to Dun & Bradstreet. The construction industry accounted for 10,867 of these business failures. The South
A national survey of small-business owners was conducted to determine the challenges for growth for their businesses. The top challenge, selected by 46% of the small-business owners, was the economy.
According to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone. Suppose that 20% of those who read e-mail while they are talking on the
According to a survey of restaurant owners in the U.S. by Must Have Menus, 77% of restaurant owners believe that they need to use social media as a marketing tool. A different survey by the National
In a study undertaken by Catalyst, 43% of women senior executives agreed or strongly agreed that a lack of role models was a barrier to their career development.In addition, 46% agreed or strongly
In a manufacturing plant, machine A produces 10% of a certain product, machine B produces 40% of this product and machine C produces 50% of this product. Five percent of machine A products are
Alex, Alicia, and Juan ﬁll orders in a fast-food restaurant. Alex incorrectly fills 20% of the orders he takes. Alicia incorrectly fills 12% of the orders she takes. Juan incorrectly fills 5% of
In a small town, two lawn companies fertilize lawns during the summer. Tri-State Lawn Service has 72% of the market. Thirty percent of the lawns fertilized by Tri-State could be rated as very healthy
Suppose 70% of all companies are classified as small companies and the rest as large companies. Suppose further, 82% of large companies provide training to employees, but only 18% of small companies
Use the values in the cross-tabulation table to solve the equations given.a. P(E) = _______b. P(B âˆª D) = _______c. P(A âˆ© E) = _______d. P(B | E) = _______e. P(A âˆª B) = _______f. P(B
Use the values in the cross-tabulation table to solve the equations given.a. P(F âˆ© A) = _____b. P(A | B) = _____c. P(B) = _____d. P(E âˆ© F) = _____e. P(D | B) = _____f. P(B | D) = _____g.
The following joint probability table contains a breakdown on the age and gender of U.S. physicians in a recent year, as reported by the American Medical Association.a. What is the probability that
Purchasing Survey asked purchasing professionals what sales traits impressed them most in a sales representative. Seventy-eight percent selected “thoroughness.” Forty percent responded
The U.S. Bureau of Labor Statistics publishes data on the benefits offered by small companies to their employees. Only 42% offer retirement plans while 61% offer life insurance. Suppose 33% offer
An Adweek Media/Harris Poll revealed that 44% of U.S. adults in the 18–34 years category think that “Made in America” ads boost sales. A different Harris Interactive poll showed that 78% of
In a certain city, 30% of the families have a MasterCard, 20% have an American Express card, and 25% have a Visa card. Eight percent of the families have both a MasterCard and an American Express
A few years ago, a survey commissioned by The World Almanac and Maturity News Service reported that 51% of the respondents did not believe the Social Security system will be secure in 20 years. Of
A telephone survey conducted by the Maritz Marketing Research Company found that 43% of Americans expect to save more money next year than they saved last year. Forty-five percent of those surveyed
The Steelcase Workplace Index studied the types of work-related activities that Americans did while on vacation in the summer. Among other things, 40% read work-related material. Thirty-four percent
A study on ethics in the workplace by the Ethics Resource Center and Kronos, Inc. revealed that 35% of employees admit to keeping quiet when they see coworker misconduct. Suppose 75% of employees who
Health Rights Hotline published the results of a survey of 2,400 people in Northern California in which consumers were asked to share their complaints about managed care. The number one complaint was
Companies use employee training for various reasons, including employee loyalty, certification, quality, and process improvement. In a national survey of companies, BI Learning Systems reported that
Pitney Bowes surveyed 302 directors and vice presidents of marketing at large and midsized U.S. companies to determine what they believe is the best vehicle for educating decision makers on complex
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements.Suppose that of those companies that do not use
A small independent physicians’ practice has three doctors. Dr. Sarabia sees 41% of the patients, Dr. Tran sees 32%, and Dr. Jackson sees the rest. Dr. Sarabia requests blood tests on 5% of her
A survey by the Arthur Andersen Enterprise Group/National Small Business United attempted to determine what the leading challenges are for the growth and survival of small businesses. Although the
According to U.S. Census Bureau figures, 35.3% of all Americans are in the 0–24 age bracket, 14.2% are in the 25–34 age bracket, 16.0% are in the 35–44 age bracket, and 34.5 are in the 45 and
A retail study by Deloitte revealed that 54% of adults surveyed believed that plastic, non-compostable shopping bags should be banned. Suppose 41% of adults regularly recycle aluminum cans and
In the mid-1990s, Colgate-Palmolive developed a new tooth-paste for the U.S. market, Colgate Total, with an antibacterial ingredient that was already being successfully sold overseas. However, the
Determine the mean, the variance and the standard deviation of the following discrete distribution.x .... P(x)1 ..... .2382 ..... .2903 ..... .1774 ..... .1585 ..... .137
Determine the mean, the variance and the standard deviation of the following discrete distribution.x ..... P(x)0 ..... .1031 ..... .1182 ..... .2463 ..... .2294 ..... .1385 ..... .0946 ..... .0717
The following data are the result of a historical study of the number of flaws found in a porcelain cup produced by a manufacturing firm. Use these data and the associated probabilities to compute
Suppose 20% of the people in a city prefer Pepsi-Cola as their soft drink of choice. If a random sample of six people is chosen, the number of Pepsi drinkers could range from zero to six. Shown here
Solve the following problems by using the binomial formula.a. If n = 4 and p = .10, find P(x = 3).b. If n = 7 and p = .80, find P(x = 4).c. If n = 10 and p = .60, find P(x ≥ 7).d. If n = 12 and p =
Solve the following problems by using the binomial tables.a. If n = 20 and p = .50, find P(x = 12).b. If n = 20 and p = .30, find P(x > 8).c. If n = 20 and p = .70, find P(x < 12).d. If n = 20 and p
Solve for the mean and standard deviation of the following binomial distributions.a. n = 20 and p = .70b. n = 70 and p = .35c. n = 100 and p = .50 Discuss.
Use the probability tables and sketch the graph of each of the following binomial distributions. Note on the graph where the mean of the distribution falls.a. n = 6 and p = .70b. n = 20 and p = .50c.
Shown here is a graph of a binomial distribution for n = 6. Study the graph and from the graph, estimate what you think is the mean of this distribution. Approximately what do you think is the value
Shown here is a graph of a binomial distribution for n = 12. Study the graph and from the graph, estimate what you think is the mean of this distribution. Approximately what do you think is the value
What is the first big change that American drivers made due to higher gas prices? According to an Access America survey, 30% said that it was cutting recreational driving. However, 27% said that it
The Wall Street Journal reported some interesting statistics on the job market. One statistic is that 40% of all workers say they would change jobs for “slightly higher pay.”In addition, 88% of
An increasing number of consumers believe they have to look out for themselves in the marketplace. According to a survey conducted by the Yankelovich Partners for USA WEEKEND magazine, 60% of all

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