Question: 1. In several countries of Africa, a
1. In several countries of Africa, a common size for a Coke can is 340 milliliters (mL). Because of the variability of bottling machinery, it is likely that every 340-mL bottle of Coca-Cola does not contain exactly 340 mL of fluid. Some bottles may contain more fluid and others less. Because of this variation, a production engineer wants to test some of the bottles from a production run to determine how close they are to the 340-mL specification. Suppose the following data are the fill measurements from a random sample of 50 cans. Use the techniques presented in this chapter to describe the sample. Consider measures of central tendency, variability, and skewness. Based on this analysis, how is the bottling process working on this production run? Do you have any insight or advice for the production manager from studying these data? 
2. Suppose that at another plant Coca-Cola is filling bottles with 20 ounces of fluid. A lab randomly samples 150 bottles and tests the bottles for fill volume. The descriptive statistics are given in both Minitab and Excel computer output. Write a brief report to supervisors summarizing what this output is saying about the process. Coca-Cola Develops the African Market The Coca-Cola Company is the number-one seller of beverages in the world with more than 500 sparkling and still brands that include 17 billion-dollar brands such as Coca-Cola, Diet Coke, Fanta, Sprite, Coca-Cola Zero, Powerade, and Minute Maid. Every day an average of more than 1.9 billion servings of Coca-Cola’s beverages are consumed worldwide. Such drinks are delivered via the world’s largest beverage distribution system to more than 200 countries around the globe. Including its bottling partners, the Coca-Cola Company ranks among the world’s top 10 private employers with more than 700,000 employees. For a variety of reasons, sales in developed countries have been flat or slow growing. For example, in 1989, North Americans bought $2.6 billion worth of Coke; but 20 years later in 2009, the figure had only grown to $2.9 billion. Looking for attractive newer, growing markets, Coca-Cola turned its attention to Africa. According to forecasts by the United Nations, Africa’s population will more than double by the year 2050 to 2.5 billion people; and after years of poverty, Africa’s emerging middle class is now becoming a driver of growth with an expanding pool of consumers with increasing disposable income. Such factors along with a positive trade balance are attracting companies to Africa as a place in which to invest. While Coke has been in Africa since 1929, more recently it has made substantial efforts to significantly increase sales there. At present, Coke is Africa’s largest private employer with 65,000 employees and 160 plants. Building on techniques learned in Latin America, Coke is trying to earn new customers in Africa by winning over small stores. Moving throughout villages and towns, Coca-Cola is distributing Coke signage and drink coolers to shop after shop. In an effort to distribute their products in areas with poor roads and to reach remote areas, Coca-Cola is establishing manual distribution centers such as were used in Vietnam and Thailand. Such centers currently employ more than 12,000 Africans and generate $500 million in annual revenue. In addition, Coca-Cola plans to invest $5 billion more in Africa for long-term sustainable growth, increasing its total investment there to $17 billion over the decade ending in 2020. Such infusion of revenue is intended to fund new manufacturing lines, cooling and distribution equipment, more job opportunities, and sustainability initiatives focused on safe water access.
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> Explain the value chain and list ways that value chain analysis benefits organisations.
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> Use the values in the cross-tabulation table to solve the equations given. a) P(E) = _____________ b) P(B ∪ D) = __________ c) P(A ∩ E) = __________ d) P(B|E) = ___________ e) P(A ∪ B) = __________ f
> A list of the top 10 manufacturing companies in the United States according to Industry Week along with their total revenue in $ billions follows. Compute the median, Q3, P20, P60, P80, and P93 on these data. Company ___________ Revenue ($ billion) Exxon
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> The results of a survey asking, “Do you have a calculator and/or a computer in your home?” follow. Is the variable “calculator” independent of the variable “comput
> The following list shows the 15 largest banks in the world by assets according to Standard and Poor’s. Compute the median and the mean assets from this group. Which of these two measures do you think is most appropriate for summarizing these data and why
> 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) = __________ CD A-36-44 B.11.09
> 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) = __________ EFG A 15 12 8 B11 17 19 C 21 32 27 D18 13 12
> 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 percent of workers expect to hear back from a company when
> 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 percent of the traveling public wants to know the age of th
> According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households havi
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> The International Housewares Association (IHA) reported that 73% of all U.S. households have ceiling fans. In addition, 77% of all U.S. households have an outdoor grill. Suppose 60% of all U.S. households have both a ceiling fan and an outdoor grill. A U
> 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 repeated, with replacement, what is the probability that both
> Use the values in the joint probability table to solve the equations given. a) P(E ∩ B) = __________ b) P(C ∩ F) = __________ c) P(E ∩ D) = __________ DEF A.12.13.08 B.18.09.04 C.06.24.06
> 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) = __________ CD
> On a certain day, the average closing price of a group of stocks on the New York Stock Exchange (to the nearest dollar) is shown. What are the mean, the median, and the mode for these data? 21 21 21 22 23 25 28 29 33 35 38 56 61
> 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 college transcript as part of the hiring process, and onl
> According to Nielsen Media Research, approximately 86% of all U.S. households have high-definition television (HDTV). In addition, 49% of all U.S. households own digital video recorders (DVR). Suppose 40% of all U.S. households have HDTV and have DVR. A
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> 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 test drive. Suppose 7% of new-car buyers use online sea
> Use the values in the joint probability table to solve the equations given. a) P(A ∪ F) = __________ b) P(E ∪ B) = __________ c) P(B ∪ C) = __________ d) P(E ∪ F) = __________ E
> Use the values in the cross-tabulation table to solve the equations given. a) P(A ∪ D) = __________ b) P(E ∪ B) = __________ c) P(D ∪ E) = __________ d) P(C ∪ F) = __________ DE
> 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) = __________
> A small company has 20 employees. Six of these employees will be selected randomly to be interviewed as part of an employee satisfaction program. How many different groups of six can be selected?
> 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 through 9. Digits can be repeated in the serial number. How many different serial numbers are possible?
> 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, and why? For this sample space, what is the probability
> Compute P20, P47, P83, Q1, Q2, and Q3 for the following data. 120 138 97 118 172 144 138 107 94 119 139 145 162 127 112 150 143 80 105 116 142 128 116 171
> A company’s customer service 800 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 options, three more options are available. For each of these three options
> 1. Statistical measures used to yield information about the center or middle part of a group of numbers are called _______________. 2. The "average" is the _______________. 3. The value occurring most often in a group of numbers is called _______________
> 21. The population standard deviation for this data is _______________. 22. In estimating what proportion of values fall within so many standard deviations of the mean, an analyst should use _______________ if the shape of the distribution of numbers is
> 11. The range of the data is _______________. 12. The value of Q1 is _____________, Q2 is ____________, and Q3 is ____________. 13. The interquartile range is _____________. 14. The value of the 34th percentile is ________________. 15. Subtracting each v
> Compute the mean for the following numbers. 7-2590-3 -6 -7 -4 -5 2-8
> Compute the mean for the following numbers. 17.3 44.5 31.6 40.0 52.8 38.8 30.1 78.5
> Determine the median for the following numbers. 213 345 609 073 167 243 444 524 199 682
> Determine the median and the mode for the following numbers. 248462784389435
> Compute the 35th percentile, the 55th percentile, Q1, Q2, and Q3 for the following data. 16 28 29 13 17 20 11 34 32 27 25 30 19 18 33
> 1. The following data represents the number of printer ribbons used annually in a company by twenty-eight departments. This is an example of ______________ data. 2. Below is a frequency distribution of ages of managers with a large retail firm. This is
> 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 these companies in African American media and a box plot
> 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 were compiled by myglobalcareer.com, extracted from My Global Career 500, and analyzed using Excel’s desc
> happi.com published a list of the top 50 household and personal products companies in the United States. Topping the list was Procter & Gamble with $40.3 billion followed by Colgate-Palmolive with $13.1 billion and Estee Lauder with $11.8 billion. Th
> U.S. Bank Locations compiled a list of over 6000 banks in the United States in order of their total assets. Leading the list were JPMorgan Chase, Bank of America, and Wells Fargo Bank. Following is an Excel analysis of total assets ($ billions) for the t
> Business Travel News reported that the average per diem total for a business traveler in Paris, France, is $608. Suppose the shape of the distribution of the per diem costs of a business traveler to Paris is unknown but that 53% of the per diem figures a
> 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 ___________________ Tonnage South Louisiana, LA ………………………………… 242.6 Houston, TX …….……………………………………… 212.6 New York
> According to the Bureau of Labor Statistics, the average annual salary of a worker in Detroit, Michigan, is $45,140. Suppose the median annual salary for a worker in this group is $41,369 and the mode is $39,500. Is the distribution of salaries for this
> The following are per capita GDP figures for eight eastern European countries according to the World Bank. The monetary figures are in international dollars; for comparison, the per capita GDP for the United States is 59,532 international dollars. Countr
> According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 27 minutes. a) If the distribution of time spent on the job is approxim
> The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution of ages of cars on U.S. roads is approximately bell shaped. If 99.7% of the ages are between 1 year and 14 years, what is the s
> 10. The graphical depiction that is a type of vertical bar chart and is used to depict a frequency distribution is a _______________. 11. The graphical depiction that utilizes cumulative frequencies is a _______________. 12. The graph shown below is an e
> Financial analysts like to use the standard deviation as a measure of risk for a stock. The greater the deviation in a stock price over time, the more risky it is to invest in the stock. However, the average prices of some stocks are considerably higher
> The U.S. Department of the Interior releases figures on mineral production. Following are the 15 leading states in nonfuel mineral production in the United States for 2016. State ________________ Value ($ billions) Nevada ……………………………………………. 7.65 Arizona
> Shown here are the top 12 biggest oil and gas companies in the world according to Forbes. Use these as population data and answer the questions that follow. Company ____________ Production Volume (million barrels per day) Saudi Aramco (Saudi Arabia) …………
> Shown below are the top 10 contractors of the U.S. federal government by dollars according to the U.S. General Services Administration. Use this population data to compute a mean and a standard deviation for these data. Company _____________ Amount of Co
> Shown below are the top 15 market research firms in the United States in 2018 according to the AMA Gold Top 50 Report. Compute the mean, median, P30, P60, P90, Q1, Q3, range, and the interquartile range on these data. Company ________________ Sales ($ mi
> 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 be as follows. Compute P10, P80, Q1, Q3, the int
> 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 follows. Compute the mean, median, mode, range, lower and
> Suppose a market research firm enlisted 800 families in one U.S. city to participate in a study of expenditures for the December holiday season. Each family kept a log of spending for this holiday season, submitted their log to the market research firm,
> Use a business analytics approach to analyze the following data using descriptive statistics. Write a half-page report of your findings such that it might aid business people in making decisions from information gleaned from these data. 52 68 54 64 6
> 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. Use the data to construct a box-and-whisker plot. List
> 23. The volume of wheat in each silo in Nebraska in August. 24. A rating scale of the productivity of each worker which has as its adjectives: very poor, poor, average, good, outstanding. 25. A person's religious preference. 26. Weights of statistics' t
> Construct a box-and-whisker plot on the following data. Do the data contain any outliers? Is the distribution of data skewed? 540 690 503 558 490 609 379 601 559 495 562 580 510 623 477 574 588 497 527 570 495 590 602 541
> 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 median age is 54, and the modal age is 59?
> 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 $21, is the distribution of these stock prices skewed? If so, how?
> Shown below are the maximum per diem rates for 11 international cities provided by the U.S. Department of State. The per diem rates include hotel, car, and food expenses. Use this list to calculate the z scores for Lagos, Riyadh, and Bangkok. Treat the l
> Environmentalists are concerned about emissions of sulfur dioxide into the air. The average number of days per year in which sulfur dioxide levels exceed 150 milligrams per cubic meter in Milan, Italy, is 29. The number of days per year in which emission
> The time needed to assemble a particular piece of furniture with experience is normally distributed with a mean time of 43 minutes. If 68% of the assembly times are between 40 and 46 minutes, what is the value of the standard deviation? Suppose 99.7% of
> According to Chebyshev’s theorem, how many standard deviations from the mean would include at least 88% of the values?
> Some numbers are not normally distributed. If the mean of the numbers is 38 and the standard deviation is 6, what proportion of values would fall between 26 and 50? What proportion of values would fall between 14 and 62? Between what two values would 89%
> A distribution of numbers is approximately bell shaped. If the mean of the numbers is 125 and the standard deviation is 12, between what two numbers would approximately 68% of the values fall? Between what two numbers would 95% of the values fall? Betwee
> Shown below are the top nine leading retailers in the United States in a recent year according to Kantar Consulting Company Revenues _________________ ($ billions) Walmart ………………………………………………………… 374.80 The Kroger ………………………………………………… Co. 115.89 Amazon ………
> 12. Recorded measurements are ________________. 13. The highest level of data measurement is _______________. 14. The level of data measurement used when ranking items is _______________. 15. If a number represents the geographic location of a business,
> A sample of 12 small accounting firms reveals the following numbers of professionals per office. a) Determine the variance. b) Determine the standard deviation. c) Determine the interquartile range. d) What is the z score for the firm that has six profe
> 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 2 49 …………………………………. 159 82 …………………………………. 121 77 …………………………………. 138 54…
> According to Chebyshev’s theorem, at least what proportion of the data will be within μ ± kσ for each value of k? a) k = 2 b) k = 2.5 c) k = 1.6 d) k = 3.2
> The following sample data represent the time (in minutes) required by business executives to complete an expense report. Determine the interquartile range on these data and comment on what it means. 44 18 39 40 59 46 59 37 15 73 23 19 90 58 35 82 14
> Use your calculator or computer to find the population variance and population standard deviation for the following data. 123 090 546 378 392 280 179 601 572 953 749 075 303 468 531 646
> Use your calculator or computer to find the sample variance and sample standard deviation for the following data. 57 88 68 43 93 63 51 37 77 83 66 60 38 52 28 34 52 60 57 29 92 37 38 17 67
> A data set contains the following six values. a) Find the population standard deviation. b) Find the population variance. 12 23 19 26 24 23
> A data set contains the following eight values. a) Find the range. b) Find the sample variance. c) Find the sample standard deviation. d) Find the interquartile range. 43052945
> 1. The _______________ method of assigning probabilities relies on the insight or feelings of the person determining the probabilities. 2. If probabilities are determined "a priori" to an experiment using rules and laws, then the _______________ method o
> 31. The probability of B occurring given C is __________. 32. The probability of B and D occurring is __________. 33. The probability of C and D occurring is __________. 34. The probability of C or D occurring is __________. 35. The probability of C occu
> 21. If the P(A(B) = P(A), then the events A, B are _______________ events. 22. If the P(X) = .53, the P(Y) = .12, and the P(X ∩ Y) = .07, then P(X ∪ Y) = ______________. 23. If the P(X) = .26, the P(Y) = .31, and X, Y
> 11. The outcome of the roll of one die is said to be _______________ of the outcome of the roll of another die. 12. The event of rolling a three on a die and the event of rolling an even number on the same roll with the same die are _______________. 13.
