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business statistics

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

A random sample of 40 taxpayers with adjusted gross incomes of between $100,000 and $200,000 was drawn. These taxpayers claimed an average of $9,922 in medical expenses for the year. Assume the population standard deviation for these deductions was $2,400.Construct confidence intervals to estimate
The caloric consumption of 32 American adults was measured and found to average 2,157. Assume the population standard deviation is 260 calories per day. Construct confidence intervals to estimate the mean number of calories consumed per day for the American population with the following confidence
Suppose Apple claims that the average wait time for a customer calling the Apple Care support line is 175 seconds.A random sample of 40 customers had an average wait time of 187 seconds. Assume the population standard deviation for wait time is 50 seconds.a. Using a 95% confidence interval, does
The cost of ink cartridges for inkjet printers can be substantial over the life of a printer. Printer manufacturers publish the number of pages that can be printed from an ink cartridge in an effort to attract customers. HP claims that the C6615DN 25mL black print cartridge will yield an average of
Golf cart attendants at a local country club often receive tips from golfers they assist with their golf clubs. To help recruit new employees, the country club would like to determine the average tips per day an attendant earns. A sample of 16 attendants averaged $42.60 per day in tips.Assume the
Toyota Motor Corporation developed the Scion car model to appeal to young consumers. Toyota claims the average age of a Scion driver is 26 years old. Suppose a random sample of 18 Scion drivers was drawn, and the average age of the drivers was found to be 27.5 years. Assume the standard deviation
Construct a 90% confidence interval to estimate the population mean using the following data:x = 25 s = 5.2 n = 21 What assumptions need to be made about this population?AppendixLO1
Construct a 95% confidence interval to estimate the population mean using the following data:x = 38 s = 8.5 n = 25 What assumptions need to be made about this population?AppendixLO1
Construct a 98% confidence interval to estimate the population mean when x = 60 and s = 12.2 for the following sample sizes:a. n = 20b. n = 40c. n = 60 AppendixLO1
Construct an 80% confidence interval to estimate the population mean when x = 125 and s = 32 for the following sample sizes:a. n = 30b. n = 60c. n = 90 AppendixLO1
Determine the margin of error for a confidence interval to estimate the population mean with n = 20 and s = 16 for the following confidence levels:a. 80%b. 90%c. 99%AppendixLO1
Determine the margin of error for a 95% confidence interval to estimate the population mean when s = 40 for the following sample sizes:a. n = 10b. n = 30c. n = 50 AppendixLO1
With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consumption over 15 randomly selected seven-day cruises on the ship was 81,740 bottles with a sample standard deviation of 4,590 bottles. Royal Caribbean would like to
A random sample of 21 NCAA Division I men’s basketball games during a recent season had an average attendance of 5,038 with a sample standard deviation of 1,755.a. Construct a 90% confidence interval to estimate the average attendance of an NCAA men’s basketball game during the 2009–2010
The U.S. air traffic control system handled an average of 47,529 flights during 30 randomly selected days. The standard deviation for this sample is 6,210 flights per day.a. Construct a 99% confidence interval to estimate the average number of flights per day handled by the system.b. Suppose the
The following data show the number of hours per day 12 adults spent in front of screens watching television-related content: 1.3 4.9 4.2 4.8 7.6 6.9 5.4 2.2 5.3 1.8 2.4 8.3a. Construct a 95% confidence interval to estimate the average number of hours per day adults spend in front of screens
According to Expedia.com, workers in Italy lead the world in paid vacation days, averaging 42 days per year. The following data show the number of paid vacation days for a random sample of 20 Italian workers.These data can also be found in the Excel file titled paid vacation.xlsx.48 40 30 58 20 40
AAA reported that the average price of regular gasoline in Pennsylvania was $3.65 per gallon. The following data show the price per gallon of regular gasoline for 15 randomly selected stations in the state. These data can also be found in the Excel file titled PA gas prices.xlsx.$3.73 $3.59 $3.74
Construct a 90% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample size equal to 125.AppendixLO1
Construct a 95% confidence interval to estimate the population proportion with a sample proportion equal to 0.60 and a sample size equal to 150.AppendixLO1
Determine the margin of error for a confidence interval to estimate the population proportion for the following confidence levels with a sample proportion equal to 0.40 and n = 100:a. 90%b. 95%c. 97%AppendixLO1
Determine the margin of error for a 95% confidence interval to estimate the population proportion with a sample proportion equal to 0.70 for the following sample sizes:a. n = 125b. n = 200c. n = 250 Applications AppendixLO1
The IRS reported that 81% of individual tax returns were filed electronically in 2012. A random sample of 225 tax returns from 2013 was selected. From this sample, 176 were filed electronically.a. Construct a 95% confidence interval to estimate the actual proportion of taxpayers who filed
Although Germany has one of the healthiest economies in the euro zone, it has one of the lowest homeownership rates in Europe. According to ECD, the German homeownership rate was 44% in 2011 (compared to 66% in the United States). Suppose, from a random sample of 270 households in Germany in 2014,
According to the Centers for Disease Control and Prevention, 20.6% of the U.S. population smoked in 2008.In 2014, a random sample of 650 Americans was selected;108 of whom smoked.a. Construct a 90% confidence interval to estimate the actual proportion of people who smoked in the United States in
Determine the sample size needed to construct a 90%confidence interval to estimate the population mean when s = 75 and the margin of error equals 12.AppendixLO1
Determine the sample size needed to construct a 95%confidence interval to estimate the population mean when s = 40 and the margin of error equals 6.AppendixLO1
Determine the sample size needed to construct a 95% confidence interval to estimate the population mean for the following margins of error when s = 80:a. 10b. 15c. 20 AppendixLO1
Determine the sample size needed to construct a 99%confidence interval to estimate the population proportion when p = 0.40 and the margin of error equals 5%.AppendixLO1
Determine the sample size needed to construct a 90%confidence interval to estimate the population proportion when p = 0.65 and the margin of error equals 6%.AppendixLO1
Determine the sample size needed to construct a 95%confidence interval to estimate the population proportion for the following sample proportions when the margin of error equals 4%:a. p = 0.30b. p = 0.40c. p = 0.50 Applications AppendixLO1
Determine the sample size needed to construct a 95%confidence interval to estimate the average GPA for the student population at Wilmington College with a margin of error equal to 0.2. Assume the standard deviation of the GPA for the student population is 1.0. Verify your result using
Michelin Tires would like to estimate the average tire life of its Latitude Tour tire in terms of how many miles it lasts. Determine the sample size needed to construct a 98% confidence interval with a margin of error equal to 2,000 miles. Assume the standard deviation for the tire life of this
Herr Foods, a producer of a variety of salty snacks, would like to estimate the average weight of a bag of BBQ potato chips produced during the filling process at its Nottingham, Pennsylvania, plant. Determine the sample size needed to construct a 95% confidence interval with a margin of error
The state of New Jersey would like to estimate the proportion of voters who intend to participate in the upcoming statewide elections. A pilot sample of 50 voters found that 36 of them intended to vote in the election. Determine the additional number of voters that need to be sampled to construct a
Red Fire Grill would like to estimate the proportion of tips that exceed 18% of its dinner bills. Without any knowledge of the population proportion, determine the sample size needed to construct a 90% interval with a margin of error of no more than 4% to estimate the proportion.Verify your result
Suppose Christiana Hospital would like to estimate the proportion of patients who feel that physicians who care for them always communicated effectively when discussing their medical care. A pilot sample of 40 patients found that 33 reported that their physician communicated effectively.Determine
Construct a 90% confidence interval to estimate the population mean using the following data:x = 70 s = 20 n = 40 N = 400 AppendixLO1
Construct a 99% confidence interval to estimate the population mean using the following data:x = 22 s = 4.5 n = 20 N = 180 AppendixLO1
Construct a 95% confidence interval to estimate the population proportion using the following data:x = 22 n = 75 N = 500 Applications AppendixLO1
The University of Delaware would like to estimate the proportion of fans who purchase concessions at the first basketball game of the new season. The basketball facility has a capacity of 3,500 people and is routinely sold out.It was discovered that a total of 260 fans out of a random sample of 400
Dr. Thomas Bilski is a primary care physician with a practice that is currently serving 280 patients. Dr. Bilski would like to administer a survey to his patients to measure their satisfaction levels with his practice. A random sample of 24 patients had an average satisfaction score of 8.4 on a
According to the Bureau of Labor Statistics, the average hourly wage in the United States was $22.57 in May 2010.To confirm this wage, a random sample of 36 hourly workers was selected during the month. The average wage for this sample was $21.32. Assume the standard deviation of wages for the
The following data show the costs charged by a tax preparation service for a random sample of 15 tax returns. These data can also be found in the Excel file titled tax prep costs.xlsx.$135 $120 $150 $110 $90$115 $130 $200 $180 $200$140 $150 $100 $75 $70a. Using a 98% confidence interval, estimate
The makers of compact fluorescent light bulbs (CFL) claim the bulbs use 75% less energy and last 10 times longer than incandescent bulbs. A 16-watt CFL (equivalent to a 60-watt incandescent) has a rated lifetime of 8,000 hours. To test this claim, a random sample of 50 CFLs was drawn, and the
Aetna, a major health insurance company, would like to estimate the average wait time for a patient seeking emergency room services. A random sample of 33 emergency room patients had an average wait time of 222 minutes with a sample standard deviation of 76 minutes. Determine the confidence
Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time watching alone. The consensus is that this percentage has been increasing over the years due to the increased number of television sets in U.S. households.a. Determine the sample
The Department of Labor would like to estimate the average weekly wages for U.S. adults with a margin of error equal to $20. Determine the sample sizes needed to construct a confidence interval for this estimate using the following confidence levels. Assume the population standard deviation for the
To design a new advertising campaign, Volkswagen would like to estimate the proportion of drivers of the new VW Beetle who are women. In a random sample of 250 Beetle owners, 140 of them were women.a. Construct a 95% confidence interval to estimate this proportion.b. What is the margin of error for
Much of the recent euro currency crisis that struck Europe was attributed to the economy of Greece. George Papandreou, Greece’s prime minister, claimed that corruption was at the heart of the crisis. Transparency International is a global civil organization that reports on worldwide
Verizon Wireless would like to estimate the average number of text messages received by American teenagers per month. A random sample of 60 teenaged customers was selected.The sample average was 2,272 messages per month, and the sample standard deviation was 953 messages per month. Construct
GMAC reported that 85% of drivers incorrectly answered a question asking them what they are supposed to do when approaching a yellow light. (The correct answer is slow down and proceed through the light only if it is safe to do so. But I’m sure you already knew that.) To verify this surprising
The U.S. Census Bureau would like to estimate the average annual contributions to charity by the members of Generation Y (people born in the United States in the years 1981 through 1991). The following data show the annual contributions to charity for a random sample of 18 individuals in this age
A recent trend in the auto financing market is an increase in the length of new car loans. According to Experian, 11% of new car loans in 2009 were between 73 and 84 months in length. Suppose a random sample of 260 new cars loans in 2014 was selected and found to have 47 that were between 73 and 84
In 2010, Bank of America reported that 7.1% of its credit card holders were at least 30 days overdue on their monthly payments. In 2014, a random sample of 450 credit card customers found that 20 were at least 30 days overdue on their monthly payments. Using a 90% confidence interval, can you
Travelocity would like to estimate the current average domestic airfare. The following data show the airfares for 24 randomly selected tickets for travel within the United States. These data can also be found in the Excel file titled domestic airfares.xlsx.$356 $275 $371 $384 $457 $326$414 $367
Using a 90% confidence level, the U.S. Department of Labor would like to estimate the average weekly hours worked by private employees in the United States who are adults. Assume the standard deviation for the number of hours worked is seven hours. Determine the sample sizes needed to construct
Michael Smith is running to become the state representative for the 12th District in Delaware. The district has 310 registered Republican voters. In an effort to plan his campaign strategy, Michael would like to estimate the average age of a Republican voter in the district. Following a random
A local church has a congregation composed of 362 members.The church’s administrators would like to find out how the congregation would react if the church moved its 11:00 a.m.service to 10:00 a.m. A random sample of 115 members was drawn, 46 of whom were in favor of the change.a. Construct a 95%
Clear Bags is an online company that sells a variety of protective bags for photo, art, and stationery products that are placed on display. Currently, its customer database consists of 872 individuals who place at least one order per year.Clear Bags would like to estimate the proportion of their
The manager at an automobile dealership would like to estimate the average satisfaction score from the 915 customers who purchased a car or truck last year. The company goal is to achieve an average satisfaction score of at least 80 on a scale of 0–100. A random sample of 80 customers had an
The Excel file labeled Lowes.xlsx lists the receipt total for 350 randomly selected customers for the home improvement chain Lowe’s.a. Use these data to construct a 95% confidence interval to estimate the average receipt total for a Lowe’s customer.b. What is the margin of error for this
The Hawaii Island Chamber of Commerce collects ocean temperature data to help promote tourism for local businesses.The Excel file titled Hawaii ocean temps.xlsx lists daily ocean temperatures for the past 125 days.a. Use these data to construct a 90% confidence interval to estimate the average
The following data represent the number of student absences for a large, two-semester statistic class. These data can also be found in the Excel file absence.xlsx.3 5 2 5 5 3 2 6 2 2 0 2 4 4 0 5 5 2 4 2 3 5 2 3 6 5 4 3 2 7 3 7 3 4 5 3 3 5 6 4 4 3 2 3 3 3 2 6 2 4 4 5 2 1 3 4 7 3 4 3 a. Construct a
The following data represent the number of cars per day that used the drive-through lane for a fast food restaurant.117 104 102 98 97 96 95 91 90 90 89 88 87 87 86 85 83 82 81 78 77 77 76 75 74 71 71 71 70 70 70 69 69 67 67 64 a. Construct a stem and leaf display for these data.b. Construct a stem
A marketing research firm would like to display the relationship between a family’s weekly food costs and the number of family members living in the household. The following table shows the monthly food costs and the number of family members for 16 families. These data can also be found in Excel
The following table represents the average new-home size,in square feet, in the United States over various years.Year Average Size 1985 1,785 1990 2,080 1995 2,100 2000 2,266 2005 2,434 2010 2,392 Construct a display that best describes these data.AppendixLO1
The term never events in the health care industry refers to mistakes that should never happen in the operating room.Researchers identified the following “never events” and their relative frequency of occurring.Event Relative Frequency (%)Foreign objects left behind 49.8 Wrong procedure 25.1
As a long-time lover of Cheez-It crackers, I find myself offended when somebody claims that Cheese Nips, which is a competing product, is just as good. To put an end to this silly argument, I performed a taste test with 24 unbiased individuals, asking them to state their preference and listed the
The following data represents the total annual snowfall (in inches) for 30 cities.12 13 15 18 21 21 23 26 26 27 27 28 30 33 33 35 36 36 39 40 40 42 42 44 46 47 49 50 51 57 Construct a stem and leaf display using these data.AppendixLO1
The following table shows the percentage of children at various age groups who use smartphones and laptop computers according to a survey conducted by the NPD Group.Age Smartphones (%) Laptops (%)4–5 37 22 6–8 35 28 9–11 38 37 12–14 47 43 Construct a display that best presents these data
A grocery store manager records the purchases of soda by the brands Coke (C), Pepsi (P), and Mt. Dew (M). The type of soda is also noted (regular or diet). The following table shows the brand and type of soda for the last 33 customers.These data can also be found in the Excel file soda.xlsx.Brand
The class sizes for 40 courses currently being taught at Neumann University this semester are shown in the following table. These data can also be found in the Excel file class size.xlsx.28 26 35 28 20 43 31 22 25 18 35 39 19 29 23 31 45 35 22 28 28 20 41 36 32 32 39 33 25 30 19 43 23 31 31 51 46
The following table shows the number of customers who have visited a T-Mobile retail store during the past 40 days.These data can also be found in the Excel file T-Mobile.xlsx.72 99 99 100 119 91 101 74 102 130 81 76 70 97 77 70 130 85 82 131 94 125 97 112 118 72 93 93 75 95 93 104 92 105 77 138 88
The Excel file titled gasoline prices.xlsx lists the average monthly price per gallon of regular gasoline in the United States from August 1990 to January 2013 from the U.S.Energy Information Administration. Construct a line chart using these data and describe the trend.2.70 The Excel file titled
The amount of time required to navigate through airport security can vary from city to city. The Excel file titled TSA times.xlxs shows the number of minutes that 60 passengers spent going through security at Chicago’s O’Hare International Airport and Seattle International Airport. Construct a
The Excel file titled US Housing Starts.xlsx lists the number of housing starts in the United States each year from 1970 to 2012 provided by the U.S. Department of Commerce.Construct a display that best describes these data.AppendixLO1
Consider the following data values:18 12 7 10 15 12 6 12 14a. Calculate the mean.b. Calculate the median.c. Determine the mode.d. Describe the shape of this distribution.AppendixLO1
Consider the following data values:6 14 17 1 16 17 6 19a. Calculate the mean.b. Calculate the median.c. Determine the mode.d. Describe the shape of this distribution.AppendixLO1
Consider the following data values:14 62 0 20 26 38 8a. Calculate the mean.b. Calculate the median.c. Determine the mode.d. Describe the shape of this distribution.AppendixLO1
Consider the following data values:25 18 -7 10 34 -12a. Calculate the mean.b. Calculate the median.c. Determine the mode.d. Describe the shape of this distribution.Applications AppendixLO1
The following table shows the monthly unemployment rate in the United States from January 2011 until January 2013. These data can also be found in the Excel file titled US unemployment.xlsx. 9.1 9.0 8.9 9.0 9.0 9.1 9.0 9.0 9.0 8.9 8.6 8.5 8.3 8.3 8.2 8.1 8.2 8.2 8.2 8.1 7.8 7.9 7.8 7.8 7.9 Based
Bank of America stock prices at the end of each month from February 2012 until January 2013 are shown as below. These data can also be found in the Excel file titled Bank of America.xlsx.$7.97 $9.57 $8.11 $7.35 $8.18 $7.34$7.99 $8.83 $9.32 $9.86 $11.61 $11.32 Based on: http://www.bigcharts.coma.
The following frequency distribution shows the various levels of demand for a particular laptop computer sold by Costco during the last 50 business days. Determine the average number of laptops sold per day.Number of Laptops Frequency 0 14 1 8 2 8 3 12 4 5 5 3 AppendixLO1
The following table shows the 2009 carbon emissions, in tons per capita, for various countries around the world.These data can also be found in the Excel file titled emissions.xlsx.Country Emissions Country Emissions United States 17.7 Canada 16.2 Mexico 4.0 France 6.3 Italy 7.0 Russia 11.2 China
The following data represent the exchange rates for the euro in terms of U.S. dollars from March 2011 until February 2013.These data can also be found in the Excel file titled Euro.xlsx. 1.40 1.44 1.43 1.44 1.43 1.43 1.38 1.37 1.36 1.32 1.29 1.32 1.32 1.32 1.28 1.25 1.23 1.24 1.29 1.30 1.28 1.31
Consider the following sample data values:18 12 7 10 15 12 6 12 14a. Calculate the range.b. Calculate the variance.c. Calculate the standard deviation.AppendixLO1
Consider the following sample data values:5 11 17 23 14 16 11 17a. Calculate the range.b. Calculate the variance.c. Calculate the standard deviation.AppendixLO1
Consider the following population data values:14 41 0 20 26 38 8a. Calculate the range.b. Calculate the variance.c. Calculate the standard deviation.AppendixLO1
Consider the following population data values:25 18 -7 10 34 -12a. Calculate the range.b. Calculate the variance.c. Calculate the standard deviation.Applications AppendixLO1
A local Holiday Inn asked customers to rate their stays on a scale of 1–10. The following list shows the ratings given by the last 10 customers:8 8 7 10 6 9 5 7 6 8a. Calculate the range.b. Calculate the variance.c. Calculate the standard deviation.AppendixLO1
The following list represents the number of absent students from my last nine statistics classes:2 4 0 1 6 1 3 2 3a. Calculate the range.b. Calculate the variance.c. Calculate the standard deviation.AppendixLO1
Every 10 years, the U.S. Census Bureau asks people about the number of people living within their households. The following list shows how eight households responded to the question.5 1 2 6 4 4 3 5a. Calculate the range.b. Calculate the variance.c. Calculate the standard deviation.AppendixLO1
The following values represent the number of iPhones sold per day at a local AT&T retail store during the last 10 business days:14 5 6 11 18 10 10 12 3 15a. Calculate the range.b. Calculate the variance.c. Calculate the standard deviation.AppendixLO1
The following list shows the starting salaries, in thousands of dollars, for 11 recent college graduates with business degrees:36 32 40 35 32 41 35 44 38 37 40a. Calculate the range.b. Calculate the variance.c. Calculate the standard deviation.AppendixLO1
Consider the following two sample data sets.Set 1:4 7 6 9 5 Set 2:2 11 14 4 3a. Calculate the coefficient of variation for each data set.b. Which data set has more variability?AppendixLO1
Consider the following two sample data sets.Set 1:11 21 15 24 20 Set 2:3 8 0 5 6a. Calculate the coefficient of variation for each data set.b. Which data set has more variability?AppendixLO1
Consider a sample with a mean equal to 40 and a standard deviation equal to 12. Calculate the z-scores for the following values:a. 50b. 65c. 35d. 10 AppendixLO1
Consider the following sample data:9 7 15 10 4 12 Calculate the z-scores for the following values:a. 13b. 16c. 8d. 4 Applications AppendixLO1
Assume the average price of a laptop computer is $800 with a standard deviation of $75. The following data represent the prices of a sample of laptops at Best Buy.Calculate the z-score for each of the following prices:a. $699b. $949c. $625d. $849e. $999 AppendixLO1

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