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business
business statistics for contemporary

Questions and Answers of Business Statistics For Contemporary

A survey conducted by the Consumer Reports National Research Center reported, among other things, that women spend an average of 1.2 hours per week shopping online. Assume that hours per week
A recent Barclaycard Business Travel survey showed that six out of 10 business travellers would not want in-fl ight mobile technology introduced even if there were no issues with the phones
A hair stylist has been in business one year. Sixty percent of his customers are walk-in business. If he randomly samples eight of the people from last week’s list of customers, what is the
According to a recent survey, the probability that a passenger fi les a complaint about a particular airline is 0.000014. Suppose 100,000 passengers who fl ew with this particular airline are
According to Padgett Business Services, 20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work. Twenty-fi ve per cent say
A survey conducted by the European Agency for Health and Safety at Work revealed that 79% of European managers were concerned about the levels of stress in the workplace. Despite high levels of
Th e National Public Health Service for Wales reports that 33% of all Welsh adults have at least one chronic condition. Suppose you live in a county where the environment is conducive to good health
Suppose that for every lot of 100 computer chips a company produces an average of 1.4 are defective. Another company buys many lots of these chips at a time, from which one lot is selected randomly
In a particular manufacturing plant, two machines (A and B) produce a particular part. One machine (B) is newer and faster. In one fi ve-minute period, a lot consisting of 32 parts is produced.
A service station has a pump that distributes diesel fuel to automobiles. Th e station owner estimates that only about 3.2 cars use the diesel pump every two hours. Assume the arrivals of diesel
In a study by Syed Sultana recently published in the Global Journal of Finance and Management, it was determined that 20% of all stock investors in India are women. In addition, 22% of all Indian
Solve the following problems by using the hypergeometric formula:a. If N 6, n 4, and A 5, what is the probability that x 3?b. If N 10, n 3, and A 5, what is the probability that x 1?c. If
Use Table A.2, Appendix A, to fi nd the values of the following binomial distribution problems:a. P(x 14n 20 and p 0.60)b. P(x 5n 10 and p 0.30)c. P(x 12n 15 and p 0.60)d. P(x 20n 25 and
Solve for the probabilities of the following binomial distribution problems by using the binomial formula:a. If n 11 and p 0.23, what is the probability that x 4?b. If n 6 and p 0.50, what is
A European police force has 18 police offi cers eligible for promotion. Eleven of the 18 are from an ethnic minority group. Suppose only fi ve of the police offi cers are chosen for promotion and
A company produces and ships 16 personal computers knowing that four of them have defective wiring. Th e company that purchased the computers is going to thoroughly test three of the computers. Th e
Shown here are the top 10 largest hotels in the world ranked by number of rooms according to Wikipedia.Suppose four of these hotels are selected randomly.a. What is the probability that exactly one
W. Edwards Deming in his red bead experiment had a box of 4,000 beads, of which 800 were red and 3,200 were white.* Suppose a researcher were to conduct a modifi ed version of the red bead
Th e Hay Group lists the top 20 Best Companies for Leadership annually. According to the latest report, General Electric is number 1, followed by Procter & Gamble and Intel Corporation. Suppose that
Shown here are the top 19 companies in the world in terms of oil refi ning capacity. Some of the companies are privately owned and others are state owned. Suppose six companies are randomly
Compute the following probabilities by using the hypergeometric formula:a. Th e probability of x 3 if N 11, A 8, and n 4b. Th e probability of x 2 if N 15, A 5, and n 6c. Th e probability of
A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Consider a sample in which 300 people are randomly selected who have
A data fi rm records a large amount of data. Historically, 0.9% of the pages of data recorded by the fi rm contain errors. If 200 pages of data are randomly selected,a. What is the probability that
A medical researcher estimates that 0.00004 of the population has a rare blood disorder. If the researcher randomly selects 100,000 people from the population,a. What is the probability that seven or
A pen company averages 1.2 defective pens per carton produced (200 pens). Th e number of defects per carton is Poisson distributed.a. What is the probability of selecting a carton and fi nding no
Ship collisions in the English Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1.2 collisions every four months.a. What is the probability of having no
Th e average number of annual holiday trips per family in Croatia is Poisson distributed, with a mean of 1.7 trips per year. What is the probability of randomly selecting a Croatian family and fi
According to the United National Environmental Program and World Health Organization, in Mumbai, India, air pollution standards for particulate matter are exceeded an average of 5.6 days in every
A restaurant manager is interested in taking a more statistical approach to predicting customer load. She begins the process by gathering data. One of the restaurant hosts or hostesses is assigned to
On Monday mornings, Santander Bank only has one teller window open for deposits and withdrawals. Experience has shown that the average number of arriving customers in a four-minute interval on Monday
Sketch the graphs of the Poisson distributions below. Compute the mean and standard deviation for each distribution. Locate the mean on the graph. Note how the probabilities are graphed around the
Find the following values by using the Poisson formula:a. P(x 5 2.3)b. P(x 2 3.9)c. P(x 3 4.1)d. P(x 0 2.7)e. P(x 1 5.4)f. P(4 x 5 4.4)
According to Th e Scottish Government’s website, the average class size in publicly funded primary schools in Scotland had been declining over the years and is currently set at 23 students per
In the past few years, outsourcing overseas has become more frequently used than ever before by European companies, especially in the area of customer services. However, outsourcing is not without
According to the results from the 5th European Working Conditions Survey, conducted by the European Foundation for the Improvement of Living and Working Conditions in 2010, European workers say
Th e 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
What is the fi rst big change that British motorists made due to higher petrol prices? According to a survey commissioned by Halfords, 63% said that they were driving slower. However, 11% said that
Use the probability tables in Table A.2 and sketch the graph of each of the binomial distributions below. Note on the graph where the mean of the distribution falls.a. n 6 and p 0.70b. n 20 and p
Solve for the mean and standard deviation of the following binomial distributions:a. n 20 and p 0.70b. n 70 and p 0.35c. n 100 and p 0.50
Solve the following problems by using the binomial tables (Table A.2):a. If n 20 and p 0.50, fi nd P(x 12).b. If n 20 and p 0.30, fi nd P(x 8).c. If n 20 and p 0.70, fi nd P(x 12).d. If n 20
Solve the following problems by using the binomial formula:a. If n 4 and p 0.10, fi nd P(x 3).b. If n 7 and p 0.80, fi nd P(x 4).c. If n 10 and p 0.60, fi nd P(x 7).d. If n 12 and p 0.45,
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
Th e data below are the result of a historical study of the number of fl aws found in a porcelain cup produced by a manufacturing fi rm. Use these data and the associated probabilities to compute the
Suppose 32% of all toothpaste consumers in the United States saw the Total commercials. Of those who saw the commercials, 40% purchased Total at least once in the fi rst 10 months of its
Is age category independent of willingness to try new products? According to the US Census Bureau, approximately 20% of all Americans are in the 45–64 age category. Suppose 24% of the consumers who
What probabilities are given in this case? Use these probabilities and the probability laws to determine what percentage of US households purchased Total at least twice in the fi rst 10 months of its
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 aluminium cans and
According to US Census Bureau fi gures, 35.3% of all Americans are in the 0–24 age category, 14.2% are age 25–34, 16.0% are in the 35–44 age category, and 34.5% are 45 or older. A study by
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
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
In a study of incentives used by companies to retain mature workers by Th e Conference Board, it was reported that 41% use fl exible work arrangements. Suppose that of those companies that do not use
According to Eurostat, 6.22% of French nationals are aged 25–29 years old. Th e activity that people in this group spend more time on is work, followed by leisure. For 25- to 29-year-olds 19.3% of
Companies use employee training for various reasons, including employee loyalty, certifi cation, quality, and process improvement. In a national survey of companies, BI Learning Systems reported
Th e British Broadcasting Corporation has recently published data on the number of complaints against police offi cers for a recent year from 43 out of 52 UK police forces. Th e number one complaint
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 co-worker misconduct. Suppose 75% of employees
A survey by Tripadvisor studied the types of activities British people favour while on holidays in a recent year. Among other things, 64% of British people reported preferring a beach holiday and
A recent survey conducted by Rubicon Consulting found that 47% of iPhone users changed carriers just to use Apple’s smartphone. Th e survey also found that 9.8% of iPhone users also use a
A few years ago, a survey commissioned by Th e 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
In a certain city, 30% of the families have a MasterCard, 20% have an American Express card, and 25% have a Visa card. Eight per cent of the families have both a MasterCard and an American Express
Th e following probability matrix contains the UK national distribution of blood groups as reported by the National Blood Service. A UK citizen is randomly selected. Blood type (ABO blood system)
Th e Offi ce for National Statistics publishes data on e-Society, the use of information and communication technologies by UK households. In 2010, the most common activity performed by men on the
Purchasing Survey asked purchasing professionals what sales traits impressed them most in a sales representative. Seventy-eight per cent selected ‘thoroughness’. Forty per cent responded
Th e following probability matrix contains a breakdown on the age and gender of European Professional Performers in a recent year, as reported by the International Federation of Actors (FIA). Age
Use the values in the contingency table to solve the equations given. D EFG A 3 9 7 12 B 8 4 6 4 C 10 5 3 7a. P(F A) ______b. P(A|B) ______c. P(B) ______d. P(E F) ______e. P(D|B)
Use the values in the contingency table to solve the equations given. D E A 10 20 Variable 2 B 15 5 C 30 15a. P(E) ______b. P(B D) ______c. P(A E) ______d. P(B|E) ______e. P(A B)
Suppose 70% of all companies are classifi ed 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
In a small town, two lawn companies fertilize lawns during the summer. GreenTh umb Service has 72% of the market. Th irty per cent of the lawns fertilized by GreenTh umb could be rated as very
Alex, Alicia, and Yaoqi 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. Yaoqi incorrectly fills 5% of
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 per cent of machine A products are
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
According to the Association of British Insurers, 49% of UK residents have life insurance while 16% have a personal pension scheme. Suppose that 77% of UK residents with life insurance also have a
According to a survey by Nielsen and Yahoo, 86% of all mobile phone owners use the Internet on their handset while watching TV. Suppose that 20% of those who use the Internet on their mobile phone
Arthur Andersen Enterprise Group/National Small Business United, Washington, conducted a national survey of small-business owners to determine the challenges for growth for their businesses. Th e
In 2010, business failures in the United Kingdom numbered 19,946, according to Experian. Th e construction industry accounted for 3,267 of these business failures. Th e north-west accounted for 2,382
Th e results of a survey asking, ‘Do you have a calculator and/or a computer in your home?’ follow: Calculator Computer Yes No Yes 46 3 49 No 11 15 26 57 18 75 Is the variable ‘calculator’
Use the values in the probability matrix to solve the equations given. C D A .36 .44 B .11 .09a. P(C|A) _____b. P(B|D) _____c. P(A|B) _____
Use the values in the contingency table to solve the equations given. E FG A 15 12 8 B 11 17 19 C 21 32 27 D 18 13 12a. P(G|A) _____b. P(B|F) _____c. P(C|E) _____d. P(E|G) _____
Statistic Netherlands states that 84% of all Dutch households have a microwave. In addition, 47% of all Dutch households have a dishwasher. Suppose 13% of all Dutch households have both a microwave
A recent study by the European Commission found that out of the citizens who exercise regularly in Sweden, 51% said they exercise regularly in a park or in the outdoors and 14% reported exercising
According to the Offi ce for National Statistics, 86% of all UK households have a satellite, digital, or cable receiver and 75% have a personal computer. Suppose 81% of all UK households having a
A recent study by Syed Sultana, published in the Global Journal of Finance and Management, based on a sample of 150 investors, revealed that 37% of all Indian stockmarket investors are 35 years old
According to the non-profi t group Zero Population Growth, 78% of the US population now lives in urban areas. Scientists at Princeton University and the University of Wisconsin report that about 15%
Use the values in the probability matrix to solve the equations given. DEF A .12 .13 .08 B .18 .09 .04 C .06 .24 .06a. P(E B) _____b. P(C F) _____c. P(E D) _____
Use the values in the contingency table to solve the equations given. CD E F A 5 11 16 8 B 2 3 5 7a. P(A E) _____b. P(D B) _____c. P(D E) _____d. P(A B) _____
According to a recent survey of 5,828 job applications in the fi nancial sector by Powerchex, 15% of CVs of applicants to the fi nancial sector contained some form of discrepancies, including hidden
According to Nielsen Media Research, approximately 67% of all US households with television have cable TV. Seventy-four per cent of all US households with television have two or more TV sets. Suppose
According to the Organization for Economic Cooperation and Development, 64% of women aged 15 to 64 years of age participate in the labour force. Suppose 68% of the women in that age group are
Suppose that 47% of all Chinese people have fl own in an airplane at least once and that 28% of all Chinese people have ridden on a train at least once. What is the probability that a randomly
4.10 Use the values in the matrix to solve the equations given. E F A .10 .03 B .04 .12 C .27 .06 D .31 .07a. P(A F) ______b. P(E B) ______c. P(B C) ______d. P(E F) ______
4.9 Use the values in the matrix to solve the equations given. DEF A 5 8 12 B 10 6 4 C 8 2 5a. P(A D) ______b. P(E B) ______c. P(D E) ______d. P(C F) ______
4.8 Given P(A) 0.10, P(B) 0.12, P(C) 0.21, P(A C) 0.05, and P(B C) 0.03, solve the following:a. P(A C) ______b. P(B C) ______c. If A and B are mutually exclusive, P(A B)
4.7 A small company has 20 employees. Six of these employees will be selected randomly to be interviewed as part of an employee satisfaction programme. How many diff erent groups of six can be
4.6 A company places a seven-digit serial number on each part that is made. Each digit of the serial number can be any number from 0 to 9. Digits can be repeated in the serial number. How many diff
4.5 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
4.4 A company’s customer service toll-free telephone system is set up so that the caller has six options. Each of these six options leads to a menu with four options. For each of these four
4.3 If a population consists of the positive even numbers through to 30 and if A {2, 6, 12, 24}, what is A ?
4.2 Given X {1, 3, 5, 7, 8, 9}, Y{2, 4, 7, 9}, and Z {1, 2, 3, 4, 7}, solve the following:a. XZ ___________f. (XY) Z __________b. XY __________ g. (YZ) (XY) ___________c. XZ
4.1 A supplier shipped a lot of six parts to a company. Th e lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects. How large a
1. Because of the variability of bottling machinery, it is likely that every 200 millilitre bottle of CocaCola does not contain exactly 200 millilitre of fl uid. Some bottles may contain more fl uid
5. Using the Hospital database, construct a box-and-whisker plot for births. Th inking about hospitals and birthing facilities, comment on why the box-and-whisker plot looks like it does.

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