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business
business statistics

Business Statistics 2nd Edition Robert A Donnelly, Robert Donnelly Jr - Solutions

The following data represent the number of minutes customers at Wendy’s had to wait in the drive-through line before their order was taken.1 4 6 0 4 3 10 0 4 Calculate the z-scores for the following times:a. 1 minuteb. 3 minutesc. 7 minutesd. 12 minutes AppendixLO1
Assume the average selling price for houses in a certain county is $325,000 with a standard deviation of $40,000.a. Determine the coefficient of variation.b. Calculate the z-score for a house that sells for$310,000.c. Using the empirical rule, determine the range of prices that includes 95% of the
The following data represent the number of touchdown passes per season thrown by the Benedict Arnold of the National Football League, Brett Favre (can you tell I’m a diehard Green Bay Packer fan?), during his first 18 seasons.0 18 19 33 38 39 35 31 22 20 32 27 32 30 20 18 28 22 Verify that
Assume the average age of an MBA student is 31.6 years old with a standard deviation of 2.8 years.a. Determine the coefficient of variation.b. Calculate the z-score for an MBA student who is 28 years old.c. Using the empirical rule, determine the range of ages that will include 99.7% of the
Consider the following grouped sample data:Values Frequency 0 to under 2 4 2 to under 4 2 4 to under 6 9 6 to under 8 7a. Calculate the approximate mean of these sample data.b. Calculate the approximate standard deviation of these sample data.AppendixLO1
Consider the following grouped sample data:Values Frequency 5 to under 10 15 10 to under 15 9 15 to under 20 21 20 to under 25 24 25 to under 30 6a. Calculate the approximate mean of these sample data.b. Calculate the approximate standard deviation of these sample data.AppendixLO1
Consider the following grouped sample data:Values Frequency 10 to under 30 26 30 to under 50 35 50 to under 70 51 70 to under 90 33a. Calculate the approximate mean of these sample data.b. Calculate the approximate standard deviation of these sample data.Applications AppendixLO1
A survey that collected demographic data from respondents asked them to categorize their annual incomes (in thousands of dollars) into the groups in the following table. The number of respondents for each income group is also shown in the table.Income Number of Respondents$20 to under $30 67$30 to
A walk-in clinic for emergency room services maintains records of the number of patients it treats per day. The following table shows the frequency of the patient arrivals over the course of a 150-day period:Number of Patients per Day Frequency 20 to under 40 10 40 to under 60 16 60 to under 80 25
The Olive Garden Italian Restaurant records the amount of time customers wait for a table on Saturday evenings.The following table lists the frequency of wait times for the last 100 customers.Number of Minutes per Customer Frequency 0 to under 10 6 10 to under 20 22 20 to under 30 10 30 to under 40
The following data represent the number of home runs Hank Aaron hit each year during his 23-year baseball career.13 27 26 44 30 39 40 34 45 44 24 32 44 39 29 44 38 47 34 40 20 12 10a. Calculate the mean and standard deviation of these data.b. Group these data into four classes with class boundaries
Consider the following data set:38 55 76 20 30 66 17 54a. Determine the 20th percentile.b. Determine the 40th percentile.c. Determine the 60th percentile.AppendixLO1
Consider the following data set:22 5 18 20 13 33 30 8 39a. Determine the 15th percentile.b. Determine the 35th percentile.c. Determine the 85th percentile.AppendixLO1
Consider the following data set:71 40 45 67 5 15 43 37 13 10 Determine the percentile rank for the following values:a. 50b. 30c. 15 AppendixLO1
Consider the following data set:106 83 63 104 118 124 117 136 82 97 65 141 Determine the percentile rank for the following values:a. 100b. 75c. 120 AppendixLO1
Consider the following data set:14 24 20 18 23 20 12 16 22 18 14 26 15a. Determine the quartiles for these data.b. Calculate the interquartile range for these data.AppendixLO1
Identify the five-number summary for the following data set:35 24 54 2 36 23 16 43 59 55 28 81 Applications AppendixLO1
The following table shows the estimated populations of the 12 largest U.S. cities from the 2010 Census.These data can also be found in the Excel file titled city populations.xlsx.City Population(in millions)New York, NY 8.18 Los Angeles, CA 3.79 Chicago, IL 2.70 Houston, TX 2.10 Philadelphia, PA
The following table shows the total runs scored by the 16 National League teams in Major League Baseball during the 2012 season. These data can also be found in the Excel file titled MLB runs.xlsx.Team Runs Team Runs Brewers 776 Reds 669 Cardinals 765 Pirates 651 Rockies 758 Padres 651 Diamondbacks
The following data set refers to the number of customers per day at a jewelry kiosk in Christiana Mall during a 20-day period:8 10 18 58 58 59 63 64 69 71 75 78 80 82 84 84 86 87 87 88a. Identify the first, second, and third quartiles.b. Determine the interquartile range.AppendixLO1
The following table shows the number of graduating students with business majors at Neumann University over the past 30 years in descending order:269 261 242 238 225 223 217 212 208 204 199 198 197 195 195 193 193 191 189 185 181 179 177 174 174 172 171 171 170 170a. Construct a box-and-whisker
Consider the following sample data for two variables.x 4 7 2 6 6 y 4 9 5 5 7a. Calculate the sample covariance.b. Calculate the sample correlation coefficient.c. Describe the relationship between x and y.AppendixLO1
Consider the following sample data for two variables.x 7 6 2 3 y 6 8 11 5a. Calculate the sample covariance.b. Calculate the sample correlation coefficient.c. Describe the relationship between x and y.Business Applications AppendixLO1
Comcast’s customer service department asks its customers to rate their over-the-phone service on a scale of 1–20 immediately after their service has been completed. The company then matches each customer’s rating with the number of minutes the person waited on hold. The following table shows
Suppose the EPA would like to investigate the relationship between the engine size of sedans and the miles per gallon(MPG) they get. The following table shows the engine size in cubic liters and rated miles per gallon for a selection of 2011 sedans and can also be found in the Excel file engine
A regional manager at Acme Markets would like to develop a model to predict weekly sales of pet food based on the shelf space. The following table shows the results of data collected from nine randomly selected stores and can also be found in the Excel file Acme.xlsx.Shelf
The American Board of Family Medicine would like to investigate the theory that a mother’s shoe size can be used to predict an infant’s birth weight. The following table records a random sample of the shoe sizes of 10 mothers and the birth weights of their infants and can also be found in the
You are car shopping (lucky you!) and are considering a Ford, a Chevy, and a Honda. You are basing your decision on the criteria in the following table. You have also ranked each of the criterions based on its importance to you, with a rank of 5 being the most important: price (5), reliability (4),
The following data represent the number of days homes were on the market before being sold in New Castle County, Delaware, in 2014:80 74 62 79 55 56 64 44 13 74 98 87 45 142 88 47 79a. Calculate the mean.b. Calculate the median.c. Determine the mode.d. Which of these three measurements would best
The average number of hours that people of Brazil spend per month on social networking sites is nearly double the worldwide average, drawing the attention of companies such as Facebook. The following data represent the number of hours that a sample of people from Brazil spent on a social networking
Internet service providers compete on services such as download speeds that are measured in megabits per second(Mbps). The following data represent the download speeds that 16 Comcast customers experienced recently.6 18 7 8 8 6 10 16 11 5 14 6 12 12 16 13a. Calculate the mean.b. Calculate the
The Fan Cost Index measures the average cost for a typical family to attend a Major League Baseball game. The index comprises the prices of two adult average-price tickets, two child average-price tickets, two small draft beers, four small soft drinks, four regular-size hot dogs, parking for one
A country’s fertility rate can have a major long-term impact on its economic health. Low fertility rates eventually cause the average age of the population to skew higher, making it more difficult to fund programs such as social security. The following data represent a sample showing the number
The following table lists the average monthly unemployment rate from July to September 2012 for various European countries.Country Rate Country Rate Belgium 7.4 Denmark 8.1 France 10.7 Germany 5.4 Spain 25.5 Ireland 15.0 United Kingdom 7.9 The Netherlands 5.3 Austria 4.5 Sweden 7.7a. Calculate the
Delta is one of the largest airlines in the world and also has one of the oldest fleets of planes. The following data represent the age, in years, of a sample of eight planes from Delta’s fleet.17 22 8 19 20 21 7 14a. Calculate the range for this sample.b. Calculate the variance for this
The following data represent the number of pounds lost by 10 individuals who participated in a weight loss program.A negative number represents a weight loss, whereas a positive number represents a weight gain.-12 -8 -15 -10 4 -6 -9 5 -8 -10a. Calculate the range.b. Calculate the variance.c.
Text messages have been a major source of revenue for cell phone carriers and for the first time in history the average number of text messages per month decreased from the second to the third quarter of 2012. The Excel file text messages.xlsx lists the number of text messages sent last month from
A company operates two retail outlets at different locations.The following table lists the customer satisfaction ratings on a scale of 1–10 for each location:Store 1 Store 2 7 8 4 7 6 10 3 8 9 8 Which location provides a more consistent level of customer satisfaction?AppendixLO1
The following table shows the number of wins per season for the New England Patriots and Detroit Lions NFL teams from 2004 through 2012. This data can also be found in the Excel file NFL wins.xlsx.Year New England Detroit 2004 14 6 2005 10 5 2006 12 3 2007 16 7 2008 11 0 2009 10 2 2010 14 6 2011 13
The following table lists the 20 largest companies in the world in 2013 ranked by their market capitalizations (in billions of dollars). A company’s market capitalization is defined as the number of its shares multiplied by the price per share. This data can also be found in the Excel file market
Suppose I recorded the attendance of my students in a recent statistics class because I wanted to investigate the relationship between the number of classes they missed and their final grades. The following table shows this data for a random sample of nine students. This data can also be found in
As a measure of productivity, Verizon Wireless records the number of customers each of its retail employees activates weekly. An activation is defined as either a new customer signing a cell phone contract or an existing customer renewing a contract. The following table shows the number of weekly
The Excel file labeled Customer service champs.xlsx lists the top 25 companies, with the best customer service scores ranked by Business Week in 2012.a. Determine the coefficient of variation.b. Calculate the z-score for a company with a score of 900.c. Test if the empirical rule holds true by
The following table shows the frequency distribution for the golf scores recorded during the 2012 Masters tournament:Score Frequency 278–282 6 283–287 12 288–292 21 293–297 16 298–302 6 303–307 1a. Calculate the approximate average golf score for the tournament.b. Calculate the
The following table shows the frequency distribution for the mileage on a sample of Avis rental cars:Mileage Frequency 5,000 to under 6,000 16 6,000 to under 7,000 11 7,000 to under 8,000 24 8,000 to under 9,000 10 9,000 to under 10,000 15 10,000 to under 11,000 9a. Calculate the approximate
The following data represent the tips left by 21 customers for the waitstaff at a local restaurant:$18.40 $10.35 $12.15 $ 7.75 $14.00 $ 9.50 $11.45$16.00 $15.50 $12.75 $10.50 $12.40 $13.75 $10.75$ 8.40 $17.85 $16.50 $17.60 $14.10 $10.00 $11.00a. Calculate the 30th percentile for the data.b.
The following data represent the number of students enrolled in 20 business classes this semester at Wilmington University:29 33 45 26 30 19 21 42 42 24 34 30 28 24 20 25 13 46 40 32a. Calculate the 20th percentile for the data.b. Calculate the 70th percentile for the data.c. Calculate the 90th
The following table lists the SAT scores for 27 college students:845 1,040 815 1,345 1,554 668 1,165 919 1,175 629 490 1,074 387 894 1,419 941 454 673 696 974 564 1,245 1,535 665 1,471 1,188 680a. Identify the first, second, and third quartiles.b. Determine the interquartile range.AppendixLO1
The following data represent the number of customers per day that entered an AT&T wireless retail center in Orlando over a 30-day period.114 106 124 84 86 104 161 183 146 123 189 138 157 166 121 153 222 103 168 147 202 115 156 183 201 202 178 122 94 227a. Identify the first, second, and third
The following tables record the times of swimmers in the 50-m freestyle and 100-m backstroke events at a recent meet.A particular swimmer swam the freestyle event in 33 seconds and the backstroke in 72 seconds. In which event did the swimmer perform better relative to the competition?50-m Freestyle
The following table shows the final exam scores for the students from my last statistics class:78 100 88 84 73 78 70 99 92 96 87 89 81 79 80 84 86 85 79 80 72 69 89 66 76 Determine the percentile ranks for the following scores:a. 70b. 75c. 82d. 90 AppendixLO1
The following data indicate the battery life, in minutes, on a single charge, for 25 iPads:215 219 229 230 236 239 240 244 247 255 262 264 271 279 280 282 285 285 290 296 301 310 326 327 330a. Construct a box-and-whisker plot for these data.b. Identify the five-number summary.AppendixLO1
The following data set represents the odometer mileage, in thousands of miles, of 30 used cars currently in inventory at Mojo Motors:109.6 107.2 104.4 103.2 100.5 99.9 98.6 97.6 96.2 93.2 93.1 92.9 88.9 86.8 86.4 83.6 83.5 82.8 81.5 80.9 76.8 75.2 75.1 70.7 69.9 69.7 67.2 63.0 61.0 59.8a. Construct
Fair Isaac, the company that developed the current credit score model used by most lenders today, would like to examine the relationship between the age and credit score of an individual. The following table shows the credit scores and ages of 10 randomly selected people. This data can also be
Suppose Consumer Reports would like to investigate the relationship between the battery life, in hours, and the screen size, in diagonal inches, of a laptop computer. The following table shows a random sample of eight laptops and the battery life, in hours, and corresponding screen size, in inches,
Identify which of the following values are valid and not valid numbers for a probability:a.5 4f. 14%b. 0.04 g. -3 3c. 200% h. 0%d. 0.5 i. 1.2 e.1 8AppendixLO1
What is the probability of randomly selecting a diamond from a standard 52-card deck?AppendixLO1
Consider the experiment of rolling two dice.a. What is the probability of obtaining a sum of seven?b. What is the probability of obtaining a sum of three or less?c. What is the probability of obtaining a sum of ten or more?AppendixLO1
Indicate whether classical, empirical, or subjective probability should be used to determine each of the following:a. The probability that the Green Bay Packers will make the playoffs this year.b. The probability that no students will be absent from my next statistics class.c. The probability that
A customer survey asked respondents to indicate their highest levels of education. The only three choices in the survey were high school, college, and other. If 29% indicated high school and 53% indicated college, determine the percentage of respondents who chose the “other” category.AppendixLO1
A survey was conducted in which 125 families were asked how many cats lived in their households. The results are as follows:Number of Cats Number of Households 0 76 1 32 2 12 3 3 4 2 Total 125a. What is the probability that a randomly selected family has one cat?b. What is the probability that a
A total of 200 adults responded to a survey asking them to name their favorite national park. The relative frequencies are as follows:Park Relative Frequency (%)Yellowstone 33 Great Smoky Mountains 19 Yosemite 19 Acadia 7 Other ?Total 100a. What percentage of respondents chose the
The following table shows the frequencies of executives’salary ranges at a particular organization:Salary Range Frequency Under $60,000 2$60,000 to under $70,000 5$70,000 to under $80,000 7$80,000 to under $90,000 4$90,000 to under $100,000 6$100,000 or more ?Total 26a. How many executives at
Braun Research recently surveyed U.S. adults about the number of cups of coffee they drink per day and per week.The percentages are as follows:Number of Cups Percentage Two or more cups a day 33 One cup a day 19 Two cups a week 11 One cup a week 9 Don’t drink coffee 28a. What percentage of adults
Determine the following probabilities:a. P1A2b. P1B2c. P1C2d. P1D2e. P1E2 Use the following contingency table to answer questions from Problems 4.10 to 4.14.Event A Event B Event C 9 6 Event D 4 21 Event E 7 3 AppendixLO1
Determine the following probabilities:a. P1A and C2b. P1A and D2c. P1B and E2d. P1A and B2 Use the following contingency table to answer questions from Problems 4.10 to 4.14.Event A Event B Event C 9 6 Event D 4 21 Event E 7 3 AppendixLO1
Determine the following probabilities:a. P1B or C2b. P1B or D2c. P1A or E2d. P1A or B2 Use the following contingency table to answer questions from Problems 4.10 to 4.14.Event A Event B Event C 9 6 Event D 4 21 Event E 7 3 AppendixLO1
Determine the following probabilities:a. P1AC2b. P1CA2c. P1BE2d. P1EB2 Use the following contingency table to answer questions from Problems 4.10 to 4.14.Event A Event B Event C 9 6 Event D 4 21 Event E 7 3 AppendixLO1
Use Bayes’ Theorem to determine P1BD2.Use the following contingency table to answer questions from Problems 4.10 to 4.14.Event A Event B Event C 9 6 Event D 4 21 Event E 7 3.AppendixLO1
Consider the following experiment that involves rolling a pair of dice:Event A = Rolling a nine Event B = Rolling a pair (both dice the same)a. Are these two events mutually exclusive? Why or why not?b. Are these two events independent? Why or why not?AppendixLO1
Consider the following experiment that involves flipping a single coin and rolling one six-sided die:Event A = Coin comes up tails Event B = Rolling a four with the diea. Are these two events mutually exclusive? Why or why not?b. Are these two events independent? Why or why not?AppendixLO1
Consider an experiment with a standard 52-card deck from which one card is randomly selected and not replaced.Then a second card is randomly selected. Define the following events:Event A = The first card is a heart Event B = The second card is a hearta. Are these two events mutually exclusive? Why
A recent survey found that 75% of households had Internet access and 80% of households had cable television. Also, it was reported that 70% of the households in the survey had both Internet and cable television. Determine the probability that a randomly selected household in the survey had either
The following table shows the frequencies that the Green Bay Packers of the NFL called a running play or a passing play for various down and distance situations for the first five games of a recent season. (Yes, I actually counted these frequencies myself.)Down and Distance Run Pass First down and
At a local restaurant, 22% of the customers order takeout.If 8% of the customers order takeout and choose a hamburger, determine the probability that a customer who orders takeout will order a hamburger.AppendixLO1
A recent Wall Street Journal poll found that 70% of Americans felt the U.S. government was not working well. If seven people were randomly selected, what is the probability that all seven felt the government is not working well?AppendixLO1
The following table shows the number of people, in thousands, in the United States with and without health insurance in 2011, according to the U.S. Census Bureau:Age Group Insured Uninsured Under 18 years 66,835 6,902 18 to 24 years 22,491 7,649 25 to 34 years 29,690 11,529 35 to 44 years 31,588
Thirty-five percent of customers who purchased products from an e-commerce site had orders exceeding $100. If 20% of the customers have orders exceeding $100 and also pay with the e-commerce site’s sponsored credit card, determine the probability that a customer whose order exceeds $100 will pay
A single card is drawn from a standard 52-card deck.What is the probability that the card is eithera. A king, or a four, or a fiveb. A diamond, or a heart, or clubc. A two, or a three, or a clubd. A six, or a seven, or a spade, or a diamond AppendixLO1
In 2012, 37% of taxpayers who filed their tax return electronically self-prepared their taxes. If the IRS randomly selected three tax returns submitted electronically, what is the probability that all three were self-prepared?AppendixLO1
The following table shows the number of men and women, in thousands, enrolled in degree-granting institutions in the United States in 2010. The men and women are categorized by their age groups.Age Group Men Women 14 to 17 years old 92 19 18 and 19 years old 1,842 2,276 20 and 21 years old 1,931
A hotel asked its customers to rate their stays as Excellent, Good, Fair, or Poor. The following table shows the frequency of each rating as well as the gender of the customer.Rating Men Women Excellent 3 9 Good 20 12 Fair 16 7 Poor 6 2 Determine the probability that a randomly selected customera.
Super D is a major video distributor that purchases blank DVDs from two sources: Disk Makers, which provides 62% of the DVDs, and Media Supply, which provides the remaining 38%. Historically, 3% of the DVDs Super D has purchased from Disk Makers have been defective, whereas 2% of the DVDs purchased
If the order of objects is of importance, how many ways can I select eight objects three at a time?AppendixLO1
If the order of objects is of importance, how many ways can I select nine objects two at a time?AppendixLO1
If the order of objects is not of importance, how many ways can I select eight objects three at a time? Why is this result different from Problem 4.31?AppendixLO1
If the order of objects is not of importance, how many ways can I select nine objects two at a time? Why is this result different from Problem 4.32?AppendixLO1
I would like to customize a desktop computer online.I have to choose among the following categories:• processor (five choices)• hard drive (four choices)• memory (three choices)• monitor (four choices)• keyboard (two choices)How many unique computers can I configure with these
In a race with eight swimmers, how many ways can the swimmers finish first, second, and third?AppendixLO1
A panel of 12 jurors needs to be selected from a group of 50 people. How many different juries can be selected?AppendixLO1
What is the probability of being dealt a full house(three-of-a-kind and a pair) in five-card poker?AppendixLO1
What is the probability of winning a 4>20 lottery game where 4 numbers are picked from a range of 20?AppendixLO1
There are four teams in the NFL’s NFC North Division.How many different ways can the four teams finish at the end of the season in the standings?AppendixLO1
An event planner needs to decide a seating arrangement for eight people at a table. Calculate the total number of possible arrangements available from which to choose.AppendixLO1
A research study needs to select three people to participate from a group of nine. Calculate the total number of unique groups that can be formed.AppendixLO1
An executive needs to select 4 stores from a total of 10 to participate in a customer service program. Determine the number of possible groups of four stores.AppendixLO1
Determine the number of ways in which a jury of 6 men and 6 women can be selected from a group of 13 men and 15 women.AppendixLO1
Identify which of the following values are valid and not valid numbers for a probability:a. 2.1f. 110%b.4 4g. -1 3c. 76% h. 1d. 0.8 i. 0.007 e.9 8AppendixLO1
What is the probability of randomly selecting a heart from a standard 52-card deck?AppendixLO1
Consider the experiment of rolling two dice.a. What is the probability of obtaining a sum of eight?b. What is the probability of obtaining a sum of eight or less?c. What is the probability of obtaining a sum of four or more?AppendixLO1

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