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Business Statistics Contemporary Decision Making 6th Edition Ken Black - Solutions
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 per state from these data. The mean computed from the original ungrouped data was 41,796 and the
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 year. Assume these are population data.Number of Passengers Arriving and Departing Number of(millions)
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 Frequency Appointments of Occurrence 0–under 1 31 1–under 2 57 2–under 3 26 3–under 4 14 4–under 5 6 5–under
A random sample of voters in Nashville, Tennessee, is classified by age group, as shown by the following data.Age Group Frequency 18–under 24 17 24–under 30 22 30–under 36 26 36–under 42 35 42–under 48 33 48–under 54 30 54–under 60 32 60–under 66 21 66–under 72 15a. Calculate the
Determine the sample variance and standard deviation for the following data by using the computational formula.Class f 5–under 9 20 9–under 13 18 13–under 17 8 17–under 21 6 21–under 25 2
Determine the population variance and standard deviation for the following data by using the original formula.Class f 20–under 30 7 30–under 40 11 40–under 50 18 50–under 60 13 60–under 70 6 70–under 80 4
Compute the mean, the median, and the mode for the following data.Class f 1.2–under 1.6 220 1.6–under 2.0 150 2.0–under 2.4 90 2.4–under 2.8 110 2.8–under 3.2 280
Compute the mean, the median, and the mode for the following data.Class f 0–under 2 39 2–under 4 27 4–under 6 16 6–under 8 15 8–under 10 10 10–under 12 8 12–under 14 6
Shown below are the per diem business travel expenses listed by Runzheimer International for 11 selected cities around the world. Use this list to calculate the z scores for Moscow, Beijing, Rio de Janeiro, and London. Treat the list as a sample.City Per Diem Expense ($)Beijing 282 Hong Kong 361
Environmentalists are concerned about emissions of sulfur dioxide into the air. The average number of days per year in which sulfur dioxide levels exceed 150 milligrams per cubic meter in Milan, Italy, is 29. The number of days per year in which emission limits are exceeded is normally distributed
The time needed to assemble a particular piece of furniture with experience is normally distributed with a mean time of 43 minutes. If 68% of the assembly times are between 40 and 46 minutes, what is the value of the standard deviation? Suppose 99.7% of the assembly times are between 35 and 51
According to Chebyshev’s theorem, how many standard deviations from the mean would include at least 80% of the values?
Some numbers are not normally distributed. If the mean of the numbers is 38 and the standard deviation is 6, what proportion of values would fall between 26 and 50?What proportion of values would fall between 14 and 62? Between what two values would 89% of the values fall?
A distribution of numbers is approximately bell shaped. If the mean of the numbers is 125 and the standard deviation is 12, between what two numbers would approximately 68% of the values fall? Between what two numbers would 95% of the values fall?Between what two values would 99.7% of the values
Shown below are the top food and drug stores in the United States in a recent year according to Fortune magazine.Company Revenues ($ billions)Kroger 66.11 Walgreen 47.41 CVS/Caremark 43.81 Safeway 40.19 Publix Super Markets 21.82 Supervalu 19.86 Rite Aid 17.27 Winn-Dixie Stores 7.88 Assume that the
A sample of 12 small accounting firms reveals the following numbers of professionals per office.7 10 9 14 11 8 5 12 8 3 13 6a. Determine the mean absolute deviation.b. Determine the variance.c. Determine the standard deviation.d. Determine the interquartile range.e. What is the z score for the firm
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 54 152
According to Chebyshev’s theorem, at least what proportion of the data will be within k for each value of k?a. k = 2b. k = 2.5c. k = 1.6d. k = 3.2
Determine the interquartile range on the following data.44 18 39 40 59 46 59 37 15 73 23 19 90 58 35 82 14 38 27 24 71 25 39 84 70
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.12 23 19 26 24 23a. Find the population standard deviation using the formula containing the mean(the original formula).b. Find the population standard deviation using the computational formula.c. Compare the results.Which formula was faster to use? Which
A data set contains the following eight values.4 3 0 5 2 9 4 5a. Find the range.b. Find the mean absolute deviation.c. Find the sample variance.d. Find the sample standard deviation.e. Find the interquartile range.
A data set contains the following seven values.6 2 4 9 1 3 5a. Find the range.b. Find the mean absolute deviation.c. Find the population variance.d. Find the population standard deviation.e. Find the interquartile range.f. Find the z score for each value.
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? Determine P11, P35, P58, and P67.4 4 4 1 4 2
The following lists the 10 largest automakers in the world and the number of vehicles produced by each in a recent year. Compute the median, Q3, P20, P60, P80, and P93 on these data.Auto Manufacturer Production (millions)Toyota Motor Corp. 9.37 General Motors 8.90 Volkswagen AG 6.19 Ford Motor Co.
The following list shows the 15 largest banks in the world by assets according to EagleTraders.com. Compute the median and the mean assets from this group.Which of these two measures do think is most appropriate for summarizing these data, and why? What is the value of Q2? Determine the 63rd
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
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
Compute the mean for the following numbers.7 -2 5 9 0 -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 for the numbers in Problem 3.1.
Determine the mode for the following numbers.2 4 8 4 6 2 7 8 4 3 8 9 4 3 5
Suppose 100 CPA firms are surveyed to determine how many audits they perform over a certain time. The data are summarized using the Minitab stem-and-leaf plot shown in the next column.What can you learn about the number of audits being performed by these firms from this plot? Stem-and-Leaf Display:
Suppose 150 shoppers at an upscale mall are interviewed and one of the questions asked is the household income.Study the Minitab histogram of the following data and discuss what can be learned about the shoppers. Frequency 30 20 20 10 0 50,000 100,000 Household Income of Mall Shoppers $ 150,000
A research organization selected 50 U.S. towns with Census 2000 populations between 4,000 and 6,000 as a sample to represent small towns for survey purposes.The populations of these towns follow.4420 5221 4299 5831 5750 5049 5556 4361 5737 4654 4653 5338 4512 4388 5923 4730 4963 5090 4822 4304 4758
A manufacturing company produces plastic bottles for the dairy industry. Some of the bottles are rejected because of poor quality. Causes of poor-quality bottles include faulty plastic, incorrect labeling, discoloration, incorrect thickness, broken handle, and others. The following data for 500
Shown here is a list of the industries with the largest total release of toxic chemicals in a recent year according to the U.S. Environmental Protection Agency. Construct a pie chart and a bar chart to depict this information.Industry Total Release (pounds)Chemicals 737,100,000 Primary metals
The following figures for U.S. imports of agricultural products and manufactured goods were taken from selected years over a 30-year period (in $ billions). The source of the data is the U.S. International Trade Administration. Construct a scatter plot for these data and determine whether any
The top music genres according to SoundScan for a recent year are R&B,Alternative (Rock), Rap, and Country. These and other music genres along with the number of albums sold in each (in millions) are shown.Genre Albums Sold R&B 146.4 Alternative 102.6 Rap 73.7 Country 64.5 Soundtrack 56.4 Metal
A consumer group surveyed food prices at 87 stores on the East Coast. Among the food prices being measured was that of sugar. From the data collected, the group constructed the frequency distribution of the prices of 5 pounds of Domino’s sugar in the stores surveyed.Compute a histogram, a
Good, relatively inexpensive prenatal care often can prevent a lifetime of expense owing to complications resulting from a baby’s low birth weight. A survey of a random sample of 57 new mothers asked them to estimate how much they spent on prenatal care. The researcher tallied the results and
In a medium-sized southern city, 86 houses are for sale, each having about 2000 square feet of floor space. The asking prices vary. The frequency distribution shown contains the price categories for the 86 houses. Construct a histogram, a frequency polygon, and an ogive from these data.Asking Price
The following data are shaped roughly like a normal distribution(discussed in Chapter 6).61.4 27.3 26.4 37.4 30.4 47.5 63.9 46.8 67.9 19.1 81.6 47.9 73.4 54.6 65.1 53.3 71.6 58.6 57.3 87.8 71.1 74.1 48.9 60.2 54.8 60.5 32.5 61.7 55.1 48.2 56.8 60.1 52.9 60.5 55.6 38.1 76.4 46.8 19.9 27.3 77.4 58.1
Use the data from Problem 2.27.a. Construct a histogram and a frequency polygon.b. Construct an ogive.
A northwestern distribution company surveyed 53 of its midlevel managers. The survey obtained the ages of these managers, which later were organized into the frequency distribution shown. Determine the class midpoint, relative frequency, and cumulative frequency for these data.Class Interval
The Whitcomb Company manufactures a metal ring for industrial engines that usually weighs about 50 ounces.A random sample of 50 of these metal rings produced the following weights (in ounces).51 53 56 50 44 47 53 53 42 57 46 55 41 44 52 56 50 57 44 46 41 52 69 53 57 51 54 63 42 47 47 52 53 46 36 58
An examination of rejects shows at least 7 problems. A frequency tally of the problems follows. Construct a Pareto chart for these data.Problem Frequency 1 673 2 29 3 108 4 202 5 73 6 564 7 402
Construct a stem-and-leaf plot for the following data.Let the leaf contain one digit.312 324 289 335 298 314 309 294 326 317 290 311 317 301 316 306 286 308 284 324
Construct a dot plot from the following data.16 15 17 15 15 15 14 9 16 15 13 10 8 18 20 17 17 17 18 23 7 15 20 10 14
For each class interval of the frequency distribution given, determine the class midpoint, the relative frequency, and the cumulative frequency.Class Interval Frequency 20–under 25 17 25–under 30 20 30–under 35 16 35–under 40 15 40–under 45 8 45–under 50 6
For the following data, construct a frequency distribution with six classes.57 23 35 18 21 26 51 47 29 21 46 43 29 23 39 50 41 19 36 28 31 42 52 29 18 28 46 33 28 20
Are the advertising dollars spent by a company related to total sales revenue? The following data represent the advertising dollars and the sales revenues for various companies in a given industry during a recent year. Construct a scatter plot of the data from the two variables and discuss the
The U.S. National Oceanic and Atmospheric Administration, National Marine Fisheries Service, publishes data on the quantity and value of domestic fishing in the United States. The quantity (in millions of pounds) of fish caught and used for human food and for industrial products (oil, bait, animal
An airline company uses a central telephone bank and a semiautomated telephone process to take reservations. It has been receiving an unusually high number of customer complaints about its reservation system. The company conducted a survey of customers, asking them whether they had encountered any
The following list shows the top six pharmaceutical companies in the United States and their sales figures ($ millions) for a recent year. Use this information to construct a pie chart and a bar graph to represent these six companies and their sales.Pharmaceutical Company Sales Pfizer 52,921
According to T-100 Domestic Market, the top seven airlines in the United States by domestic boardings in a recent year were Southwest Airlines with 81.1 million, Delta Airlines with 79.4 million, American Airlines with 72.6 million, United Airlines with 56.3 million, Northwest Airlines with 43.3
Shown here is a list of the top five industrial and farm equipment companies in the United States, along with their annual sales ($ millions). Construct a pie chart and a bar graph to represent these data, and label the slices with the appropriate percentages. Comment on the effectiveness of using
The following data represent the number of passengers per flight in a sample of 50 flights from Wichita, Kansas, to Kansas City,Missouri.23 46 66 67 13 58 19 17 65 17 25 20 47 28 16 38 44 29 48 29 69 34 35 60 37 52 80 59 51 33 48 46 23 38 52 50 17 57 41 77 45 47 49 19 32 64 27 61 70 19a. Construct
Construct a stem-and-leaf plot using two digits for the stem.212 239 240 218 222 249 265 224 257 271 266 234 239 219 255 260 243 261 249 230 246 263 235 229 218 238 254 249 250 263 229 221 253 227 270 257 261 238 240 239 273 220 226 239 258 259 230 262 255 226
The human resources manager for a large company commissions a study in which the employment records of 500 company employees are examined for absenteeism during the past year. The business researcher conducting the study organizes the data into a frequency distribution to assist the human resources
The owner of a fast-food restaurant ascertains the ages of a sample of customers.From these data, the owner constructs the frequency distribution shown. For each class interval of the frequency distribution, determine the class midpoint, the relative frequency, and the cumulative frequency.Class
A packaging process is supposed to fill small boxes of raisins with approximately 50 raisins so that each box will weigh the same. However, the number of raisins in each box will vary. Suppose 100 boxes of raisins are randomly sampled, the raisins counted, and the following data are obtained.57 51
The following data represent the afternoon high temperatures for 50 construction days during a year in St. Louis.42 70 64 47 66 69 73 38 48 25 55 85 10 24 45 31 62 47 63 84 16 40 81 15 35 17 40 36 44 17 38 79 35 36 23 64 75 53 31 60 31 38 52 16 81 12 61 43 30 33a. Construct a frequency distribution
The Rathburn Manufacturing Company makes electric wiring, which it sells to contractors in the construction industry. Approximately 900 electric contractors purchase wire from Rathburn annually. Rathburn’s director of marketing wants to determine electric contractors’satisfaction with
Classify each of the following as nominal, ordinal, interval, or ratio data.a. The ranking of a company by Fortune 500b. The number of tickets sold at a movie theater on any given nightc. The identification number on a questionnaired. Per capita incomee. The trade balance in dollarsf. Profit/loss
Classify each of the following as nominal, ordinal, interval, or ratio data.a. The time required to produce each tire on an assembly lineb. The number of quarts of milk a family drinks in a monthc. The ranking of four machines in your plant after they have been designated as excellent, good,
State examples of data that can be gathered for decision making purposes from each of the following industries:manufacturing, insurance, travel, retailing, communications, computing, agriculture, banking, and healthcare.An example in the travel industry might be the cost of business travel per day
Give a specific example of data that might be gathered from each of the following business disciplines: accounting, finance, human resources, marketing, information systems, production, and management. An example in the marketing area might be “number of sales per month by each salesperson.”
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