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 than the average price of others, allowing for the potential of a greater standard deviation of price. For example, a standard deviation of $5.00 on a $10.00 stock is considerably different from a $5.00 standard deviation on a $40.00 stock. In this situation, a coefficient of variation might provide insight into risk. Suppose stock X costs an average of $32.00 per share and showed a standard deviation of $3.45 for the past 60 days. Suppose stock Y costs an average of $84.00 per share and showed a standard deviation of $5.40 for the past 60 days. Use the coefficient of variation to determine the variability for each stock.
> With the advent of online ordering, shipping has become more important to consumers. One survey showed that 80% of online consumers want same-day shipping. Another study showed that 24% of online consumers are shopping lovers who enjoy buying and purchas
> 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. A close second was finding qualified workers (37%). Su
> 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 Atlantic states accounted for 8,010 of the business failures. Su
> 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
> 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 stockholders have some college education. Suppose 37% of
> 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
> According to a survey conducted by the American Pet Products Association, 68% of U.S. households own a pet. According to the Energy Information Administration, 31% of all U.S. households have trouble paying their energy bills. Suppose 17% of all U.S. hou
> 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
> 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 conta
> 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 $39,500. Is the distribution of salaries for this
> The following are per capita GDP figures for eight eastern European countries according to the World Bank. The monetary figures are in international dollars; for comparison, the per capita GDP for the United States is 59,532 international dollars. Countr
> According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 27 minutes. a) If the distribution of time spent on the job is approxim
> The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution of ages of cars on U.S. roads is approximately bell shaped. If 99.7% of the ages are between 1 year and 14 years, what is the s
> 10. The graphical depiction that is a type of vertical bar chart and is used to depict a frequency distribution is a _______________. 11. The graphical depiction that utilizes cumulative frequencies is a _______________. 12. The graph shown below is an e
> The U.S. Department of the Interior releases figures on mineral production. Following are the 15 leading states in nonfuel mineral production in the United States for 2016. State ________________ Value ($ 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.
> 1. What probabilities are given in this case? Use these probabilities and the probability laws to determine what percentage of U.S. households purchased Total at least twice in the first 10 months of its release. 2. Is age category independent of willing
> If a population consists of the positive even numbers through 30 and if A = {2, 6, 12, 24}, what is A′?
> 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 data set contains the following seven values. a) Find the range. b) Find the population variance. c) Find the population standard deviation. d) Find the interquartile range. e) Find the z score for each value. 6249135
> 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 space is the customer potentially working with? List the
> 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 believe that plastic, non-compostable shopping bags should be
> According to U.S. Census Bureau figures, 34.0% of all Americans are in the 0–24 age bracket, 13.3% are in the 25–34 age bracket, 13.3% are in the 35–44 age bracket, and 39.4% are in the 45 and older age bracket. A study by Jupiter Media Metrix determined
> 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 economy and finding qualified workers were the leading ch
> 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 patients, Dr. Tran requests blood tests on 8% of his patient
> 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 flexible work arrangements, 10% give time off for volunt
> In a U.S. consumer payment study published by TSYS, respondents were asked which payment type feels safest for online purchases. Credit card was selected as safest by 42% of the respondents. None of the respondents selected both credit card and debit car
> 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 56% of the responding companies named employee retentio
> Health Rights Hotline published the results of a survey of 2400 people in Northern California in which consumers were asked to share their complaints about managed care. The number one complaint was denial of care, with 17% of the participating consumers
> 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 admit to keeping quiet when they see coworker miscond
> The following lists the number of fatal accidents by scheduled commercial airlines over a 17-year period according to the Air Transport Association of America. Using these data, compute the mean, median, and mode. What is the value of the third quartile?
> 1. A science dealing with the collection, analysis, interpretation, and presentation of numerical data is called _______________. 2. One way to subdivide the field of statistics is into the two branches of ______________ statistics and _____________ stat
> In their 2018 annual report, JB Hi-Fi Ltd refers to the ‘cost of doing business’ (CODB) ratio. Paraphrase what you believe the CODB represents.
> Discuss three limitations of ratio analysis as a fundamental analysis tool.
