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Business Statistics 2nd Edition Robert A Donnelly, Robert Donnelly Jr - Solutions
According to eMarketer, adults in the United States average 82 minutes per day on mobile devices in 2012.Assume that minutes per day on mobile devices follow the normal distribution and has a standard deviation of 27 minutes.a. What is the probability that the amount of time spent today on mobile
Census data show that 67% of U.S. students went to college or a trade school within a year of graduating from high school. A random sample of 20 high school graduates is selected. Use the normal approximation to the binomial distribution to answer the following:a. What are the mean and standard
According to the Pew Research Center, 33% of U.S.adults owned a tablet in 2012. Use the normal approximation to the binomial distribution to calculate the probability that, from a sample of 24 U.S. adults,a. less than 10 adults own a tablet.b. 6, 7, 8, 9, or 10 adults own a tablet.c. 11, 12, 13, or
According to FlightStats.com, 82.8% of American Airline flights were on time during 2012. Assume this percentage still holds true for American Airlines. Using the normal approximation to the binomial distribution, determine the probability that, of the next 30 American Airlines flights,a. less than
An exponential probability distribution has a mean equal to 10 minutes per customer. Calculate the following probabilities for the distribution:a. P1x … 122b. P1x … 22c. P1x … 102d. P1x … 52 AppendixLO1
An exponential probability distribution has a mean equal to 7 minutes per customer. Calculate the following probabilities for the distribution:a. P1x 7 122b. P1x 7 32c. P17 … x … 102d. P11 … x … 52 AppendixLO1
An exponential probability distribution has lambda equal to 24 customers per hour. What is the probability that the next customer will arrivea. within the next minute?b. within the next 30 seconds?c. within the next 5 minutes?d. within the next 10 minutes?AppendixLO1
An exponential probability distribution has lambda equal to 18 customers per hour. What is the probability that the next customer will arrivea. within the next 45 seconds?b. within the next 1 to 3 minutes?c. within the next 2 to 5 minutes?d. within the next 4 to 10 minutes?Applications AppendixLO1
Suppose that the average time a fully charged 6-volt laptop battery will operate a computer is 3.2 hours and follows the exponential probability distribution.a. Determine the probability that the next charge will last 1. less than 2 hours.2. between 2.5 and 4.0 hours.3. more than 3.5 hours.b.
Assume the average time between students walking up to my desk during a statistics exam to ask a question in a desperate attempt to gain some insight into how to solve a problem is 8 minutes and follows the exponential probability distribution.a. What is the probability that the next desperate
Customers arrive at a local ATM at an average rate of 15 per hour. Assume the time between arrivals follows the exponential probability distribution.a. What is the probability that the next customer will arrive 1. within the next 3 minutes?2. in more than 7 minutes?3. between 4 and 8 minutes?b.
During lunch hour, customers arrive at a fast-food drive-through window, on average, every 2.5 minutes.Assume arrival time follows the exponential probability distribution.a. What is the probability that the next customer will arrive 1. within the next 2 minutes?2. in more than 5 minutes?3. between
A random variable follows the continuous uniform distribution between 20 and 50.a. Calculate the following probabilities for the distribution:1. P1x … 252 2. P1x … 302 3. P1x … 452 4. P1x = 282b. What are the mean and standard deviation of this distribution?AppendixLO1
A random variable follows the continuous uniform distribution between 60 and 95.a. Calculate the following probabilities for the distribution:1. P1x 7 632 2. P1x 7 702 3. P1x 7 882 4. P1x = 752b. What are the mean and standard deviation of this distribution?AppendixLO1
A random variable follows the continuous uniform distribution between 20 and 120.a. Calculate the following probabilities for the distribution:1. P140 … x … 602 2. P155 … x … 1002 3. P180 … x … 1102b. What are the mean and standard deviation of this distribution?AppendixLO1
A random variable follows the continuous uniform distribution between 130 and 300.a. Calculate the following probabilities for the distribution:1. P1180 … x … 2602 2. P1130 … x … 2002 3. P1x 7 1502b. What are the mean and standard deviation of this distribution?AppendixLO1
The time required for housekeeping to clean a hotel room for the next customer varies between 25 and 45 minutes and follows the continuous uniform distribution.a. Calculate the value of f1x2.b. What are the mean and standard deviation for this distribution?c. What is the probability that the next
Assume the time required to pass through security at a particular airport follows the continuous uniform distribution with a minimum time of 5 minutes and maximum time of 30 minutes.a. Calculate the value of f1x2.b. What are the mean and standard deviation for this distribution?c. What is the
The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 10 minutes and maximum time of 22 minutes.a. Calculate the value of f1x2.b. What are the mean and standard deviation for this distribution?c. What is the probability that the
A vending machine located in a local office dispenses coffee that varies from 7.4 to 8.2 ounces. The volume of coffee dispensed follows a continuous uniform distribution.a. Calculate the value of f1x2.b. What are the mean and standard deviation for this distribution?c. What is the probability that
According to the National Association of Childcare Resources and Referral Agencies, the average cost of care for an infant in a child-care center in Delaware was $8,769 a year. Assume this cost follows a normal distribution with a standard deviation of $925.a. What is the probability that a
The average U.S. monthly cable bill in 2012 has been reported to be $86. Assume monthly cable bills follow a normal distribution with a standard deviation of $9.50.a. What is the probability that a randomly selected bill will be 1. less than $80?2. less than $90?3. exactly $85?4. between $75 and
Assume that the number of miles a particular brand of tire lasts before it needs to be replaced follows a normal distribution with a mean of 45,600 miles and a standard deviation of 5,800 miles.a. What is the probability that the next tire of this brand sold will last 1. more than 36,000 miles
Assume the room rate for a three-star hotel in Paris follows a normal distribution with a mean of 175 euros and a standard deviation of 16 euros.a. What is the probability that a randomly selected threestar hotel has a room rate of 1. less than 195 euros?2. more than 180 euros?3. exactly 170
On weeknights, the average number of hours of sleep per night adults 55–84 years of age get is 7.0. Assume this random variable follows a normal distribution with a standard deviation of 1.1 hours.a. What is the probability that a randomly selected adult from this age group will get 1. more than
Assume the selling prices of homes in a particular community follow a normal distribution with a mean of$285,700 and a standard deviation of $46,100. Determine the range of selling prices in this community that includesa. one standard deviation around the mean.b. two standard deviations around the
According to the Organisation for Economic Co-operation and Development (OECD), South Koreans worked an average of 2,090 hours per year in 2011 (compared with 1,787 for workers in the United States). Assume this random variable follows a normal distribution with a standard deviation of 420 hours.a.
In a recent, USA Today article titled Consumers Are Caught in a Sugar Battle, Americans consume an average of 22.2 teaspoons of sugar per day. Assume daily sugar consumption follows the normal distribution with a standard deviation of 6.5 teaspoons.a. What is the probability that a randomly
According to the U.S. Labor Department, average weekly wages in February 2013 were $822. Assume weekly wages in the United States follow the normal distribution with a standard deviation of $190.a. What is the probability that a randomly selected worker in the United States earned 1. less than $900
The RAD Construction Company has been awarded a contract with the state of Delaware to replace a bridge on Pike Creek Road. Based on experience with previous projects, RAD feels the project completion time follows a normal distribution with a mean of 92 days and a standard deviation of 9 days. RAD
Pew Research Center surveyed adults that were 18–64 years old and had their own children under age 18 living in their household in 2011 on the amount of time spent on various activities. The results indicated that moms spent an average of 21 hours per week doing paid work (compared to 37 hours
The recent economic recession caused a plunge in new cars sales from 2008 to 2010. This trend resulted in a significant shortage of used cars during the next few years which, in turn, pushed up used car prices. Suppose that the average price of a 5-year-old used car is $16,230 with a standard
According to Leichtman Research Group, 69% of U.S.households had at least one HDTV in 2012. A random sample of 20 U.S. homes was selected. Use the normal approximation to the binomial distribution to answer the following:a. Calculate the mean and standard deviation for this distribution.b. What is
A process produces strings of Christmas tree lights that historically have experienced a defective rate of 4%. A customer has placed an order for 150 strings of lights. Use the normal approximation to the binomial distribution to answer the following:a. Calculate the mean and standard deviation for
A recent survey conducted by the Allstate Foundation reported that 68% of teens admitted to texting while driving. A random sample of 40 teens is selected. Use the normal approximation to the binomial distribution to answer the following:a. Calculate the mean and standard deviation for this
The average number of days that a house was on the market in Austin, Texas, in January 2013 was 71 days. Assume the time on the market follows an exponential probability distribution.a. What is the probability that a randomly selected house will be on the market less than 50 days?b. What is the
A busy intersection in the state of Delaware averages a traffic accident every 32 days. Assume the time between accidents follows an exponential distribution.a. What is the probability that the next accident will occur within the next 10 days?b. What is the probability that the next accident will
Suppose the time between hits on an e-commerce Web site follows the exponential distribution with a mean time of 2.7 minutes.a. What is the probability that next hit on the Web site will occur within the next 5 minutes?b. What is the probability that next hit on the Web site will occur within the
The optical department at Costco serves customers on a first-come-first-serve basis. Suppose the time between customer arrivals follows the exponential distribution. Historical data indicates that customers arrive at an average rate of 10.8 per hour.a. What is the probability that next customer
Suppose a number of months before your car battery needs to be replaced follow the exponential distribution with a mean of 50.0 months.a. What is the probability that your car battery will need to be replaced within 24 months?b. What is the probability that your car battery will need to be replaced
Suppose the time to deliver a pizza after an order for one is placed on a local restaurant’s Web site follows a uniform distribution with a minimum time of 4 minutes and a maximum time of 18 minutes.a. Determine the probability that the next delivery will require less than 12 minutes.b. Determine
While waiting for an order to arrive from its supplier(known as the lead time), the golf-department manager at a local Dick’s Sporting Goods store will sell an average of 60 boxes of Titleist golf balls. Assume the demand during the lead time for the balls follows a normal distribution with a
Suppose the average grade point average (GPA) for the undergraduate student population at Goldey-Beacom College is 3.10. The following list is a random sample of the GPAs of five students from the college. Calculate the sampling error. 2.45 3.76 3.48 2.81 3.34 AppendixLO1
Jeff Bollinger of Prudential Realtors has 20 residential listings under contract. The following table shows the number of days each of these 20 houses has been on the market as of today.20 21 2 17 35 21 40 54 52 24 40 53 46 10 42 11 37 62 21 76a. Calculate the mean for this population.b. Calculate
The following table shows the total points scored in the 16 National Football League games played during Week 1 of the 2012 season.41 62 64 50 47 33 49 72 76 40 52 36 26 50 57 36a. Calculate the mean for this population.b. Calculate the sampling error using the first four games in the first row as
Avis rental car in Whittier, Alaska, currently has 15 rental cars on its lot, each with the following mileage:19,871 11,483 18,519 10,977 8,325 6,514 14,394 6,225 4,702 11,145 4,768 16,329 15,094 13,317 19,537a. Calculate the mean for this population.b. Calculate the sampling error using the five
The Excel file titled states.xlsx contains the median income in 2011 for all 50 states and the District of Columbia.a. Use Excel to draw a simple random sample consisting of four states, and then calculate the sampling error for the sample.b. Use Excel to draw a simple random sample consisting of
For a population with a mean equal to 150 and a standard deviation equal to 30, calculate the standard error of the mean for a sample size ofa. 10b. 30c. 50 AppendixLO1
For a normal population with a mean equal to 80 and a standard deviation equal to 15, determine the probability of observing a sample mean of 85 or less from a sample of size 10.AppendixLO1
For a population that is left skewed with a mean of 24 and a standard deviation equal to 15, determine the probability of observing a sample mean of 23 or more from a sample of size 32.AppendixLO1
Identify the symmetrical interval that includes 95% of the sample means for a population with a mean equal to 45 and a standard deviation equal to 9 using a sample size of 36.AppendixLO1
Consider a population of 250 with a mean of 60 and a standard deviation equal to 23. What is the probability of obtaining a sample mean of 62 or less with a sample size of 45?Applications AppendixLO1
According to the National Association of Theater Owners, the average price for a movie in the United States in 2012 was $7.96. Assume the population standard deviation is $0.50 and that a sample of 30 theaters was randomly selected.a. Calculate the standard error of the mean.b. What is the
According to Travel and Leisure, the average hotel price in the Miami, Florida, was $156 per night in 2012. Assume the population standard deviation is $26.00 and that a random sample of 35 hotels was selected.a. Calculate the standard error of the mean.b. What is the probability that the sample
Researchers at the University of California, San Diego, found that a person in the United States spent an average of 5 hours a day watching TV. Assume the population standard deviation is 1.6 hours per day. A sample of 32 people averaged 5.3 hours of television viewing per day. Does this result
A study conducted by TomTom found that Hawaii had the slowest state highway drivers in the country. The drivers traveled at an average speed of 52.7 miles per hour (MPH).Assume the population standard deviation is 6.0 MPH.a. What is the probability that a sample of 30 of the drivers will have a
The weight of NFL players has increased steadily, gaining up to 1.5 lbs per year since 1942. According to ESPN, the average weight of a National Football League (NFL) player is now 252.8 lbs. Assume the population standard deviation is 25 lbs. A random sample of 38 NFL players was selected.a.
A local pizza shop claims its average home delivery time is 30 minutes. A sample of 40 deliveries had a sample average of 33 minutes. Assume the population standard deviation for the shop’s deliveries is 6.5 minutes.a. Is there support for the shop’s claim using the criteria that were
According to the Organisation for Economic Co-operation and Development (OECD), adults in the United States worked an average of 1,787 hours in 2011. Assume the population standard deviation is 400 hours and that a random sample of 50 U.S. adults was selected.a. Calculate the standard error of the
One semester I had a total of 80 students in my statistics classes. The average score for the class on the last exam I administered was 85.4 with a standard deviation of 4.9.A random sample of 32 students was selected.a. Calculate the standard error of the mean.b. What is the probability that the
Newark College has 240 full-time employees who are currently covered under the school’s health care plan. The average out-of-pocket cost for the employees on the plan is $1,880 with a standard deviation of $515. Newark College is performing an audit of its health care plan and has randomly
The Excel file titled NBA.xlsx contains frequency distribution of the heights of the players in the National Basketball Association during a recent season.a. Calculate the mean and standard deviation of this population.b. What is the probability that a sample mean of 45 players will be less than 78
For a population with a proportion equal to 0.30, calculate the standard error of the proportion for the following sample sizes:a. 50b. 100c. 150 AppendixLO1
A sample of 125 is drawn from a population with a proportion equal to 0.65. Determine the probability of observinga. 80 or fewer successes.b. 82 or fewer successes.c. 75 or more successes.AppendixLO1
A sample of 150 is drawn from a population with a proportion equal to 0.40. Determine the probability of observinga. between 50 and 54 successes.b. between 55 and 62 successes.c. between 53 and 70 successes.AppendixLO1
A sample of 150 is drawn from a population with a proportion equal to 0.40 and a population size of 400. Determine the probability of observinga. between 50 and 54 successes.b. between 55 and 62 successes.c. between 53 and 70 successes.Applications AppendixLO1
According to the Pew Internet & American Life Project, 73%of U.S. teens aged 12–17 used social networks. A random sample of 130 teenagers from this age group was selected.a. Calculate the standard error of the proportion.b. What is the probability that less than 75% of the teens from this sample
The Social Media and Personal Responsibility Survey found that 69% of parents are “friends” with their children on Facebook. A random sample of 140 parents was selected.a. Calculate the standard error of the proportion.b. What is the probability that 100 or more parents from this sample are
OnCampus Research recently reported that 46% of college students aged 18–24 would spend their spring breaks relaxing at home. A sample of 155 college students was selected.a. Calculate the standard error of the proportion.b. What is the probability that less than 40% of the college students from
According to the National Retail Federation, 36% of taxpayers used computer software to do their taxes for the 2012 tax year. A sample of 125 taxpayers was selected.a. Calculate the standard error of the proportion.b. What is the probability that less than 30% of the taxpayers from the sample used
Pike Creek Golf Club currently has 375 members who pay annual dues to play golf on the course. Historical records show that 38% of the members use the course at least once a week during the summer season. To verify this, a random sample of 100 members was selected.a. Calculate the standard error of
At Goldey-Beacom College, 56% of employees carry dependent family members on their health insurance plans.Currently, there are 200 employees working for the college.A random sample of 50 employees is selected.a. What is the probability that less than 60% of the sample carries dependent family
Managers at a local AT&T Wireless retail center have a goal that 75% of the center’s customers will have to wait less than 5 minutes for service. The Excel file named AT&T.xlsx shows the wait times of a random sample of 160 customers in minutes. Use Excel’s COUNTIF function to count the number
According to FedSmith.com, the average salary for a federal employee in 2012 was $74,804. Assume the population standard deviation is $15,300. A random sample of 34 federal employees is selected.a. What is the probability that the sample mean will be less than $70,000?b. What is the probability
According to the Bureau of Labor Statistics, the unemployment rate for workers aged 20 to 24 in February 2013 was 13.1%. Consider a random sample of 110 workers from this age group.a. What is the probability that 20 or fewer will be unemployed?b. What is the probability that 15 or fewer will be
One of Super Giant’s grocery stores in Pennsylvania sells, on average, 1,120 cases of Pepsi products a week with a standard deviation of 146 cases. Josh Nelson, who is the Pepsi account manager for this store, receives a bonus if the store’s weekly sales over a four-week period during the month
According to the Beverage Marketing Corporation, the per capita consumption of bottled water in the United States is 2.3 gallons per month. Assume the standard deviation for this population is 0.75 gallons per month. Consider a random sample of 36 people.a. What is the probability that the sample
It is commonly known that approximately 10% of the population is left-handed. Nike Golf would like to estimate the proportion of left-handed golfers in order to plan the schedule of golf club production. Assume Nike collected a sample of 200 golfers.a. What is the probability that more than 12% of
According to AAA, regular gasoline averaged $3.68 per gallon in the United States in March 2013. Assume the standard deviation for gasoline prices is $0.12 per gallon. A random sample of 30 service stations was selected.a. What is the probability that the sample mean will be less than $3.66?b. What
Generation Y has been defined as those individuals who were born between 1981 and 1991. According to the Project on Student Debt, Generation Y students graduating from college averaged $23,200 in debt. Assume the standard deviation for debt is $7,500 per student.a. What is the probability that the
A certain unnamed statistics teacher needs to grade 90 exams.The teacher claims that exams require an average of 12 minutes to grade with a standard deviation of 3 minutes.A random sample of 15 exams is selected.a. What is the probability that the sample mean will be more than 11 minutes per
Many homeowners rely on handymen to perform small jobs, such as repairs or maintenance, around their residence.According to HomeAdvisor Inc., the average cost for a handyman project is $460. Assume the population standard deviation is $95. A random sample of 30 handyman projects was selected.a.
According to the Bureau of Labor Statistics, the average workweek for an adult in the United States in February 2013 was 34.5 hours. Assume the population standard deviation for the number of hours worked per week is 5.0 hours.A random sample of 30 U.S. adults worked an average of 35.1 hours last
According to the Graduate Management Admission Council, the average starting salary for an MBA graduate in the class of 2011 was $85,854. Assume the population standard deviation for starting MBA salaries was $11,700.A random sample of 40 MBA graduates from the class of 2011 was selected.a. What is
According to Catalyst, 14.3% executive positions in Fortune 500 companies are occupied by women in 2012. A random sample of 180 Fortune 500 executives was selected.a. What is the probability that 20% or less of this sample were women?b. What is the probability that 18% or more of this sample were
According to the Department of Transportation, the average licensed driver travels 1,123 miles per month in his or her vehicle. Assume the population standard deviation is 341 miles per month. Determine the interval that will contain 95% of the sample means for a sample size ofa. 30 driversb. 45
Suppose I am employed at a college in which 62% of the student population is female. I am currently teaching statistics to 135 students this semester. I would like to select 50 students randomly from this group to participate in one of my research projects.a. What is the probability that 30 or more
Quality control programs will often establish control limits that are three standard errors above and below a target mean for a process. A sample is taken from the process, and if the sample mean is within the control limits the process is deemed satisfactory. A process is designed to fill bottles
The National Center for Health Statistics reported that 34%of Americans were obese recently. The Center for Disease Control estimated that obese people spent an average of$1,429 more for medical goods and services than non-obese people. Obesity is determined using a formula called body mass index
Wawa Corporation operates 570 convenient food stores in Delaware, Maryland, New Jersey, Pennsylvania, and Virginia.Suppose the company’s managers have a goal that customer satisfaction is to average at least 8.0 on a scale of 1–10. A random sample of 60 stores was selected, and the average
Construct a 90% confidence interval to estimate the population mean using the following data:x = 75 s = 20 n = 36 AppendixLO1
Construct a 99% confidence interval to estimate the population mean using the following data:x = 45 s = 30 n = 40 AppendixLO1
Construct a 95% confidence interval to estimate the population mean with x = 110 and s = 30 for the following sample sizes:a. n = 30b. n = 45c. n = 60 AppendixLO1
Construct a 98% confidence interval to estimate the population mean with x = 60 and s = 12 for the following sample sizes:a. n = 35b. n = 45c. n = 55 AppendixLO1
Determine the margin of error for a confidence interval to estimate the population mean with n = 35 and s = 40 for the following confidence levels:a. 90%b. 95%c. 96%AppendixLO1
Determine the margin of error for an 80% confidence interval to estimate the population mean with s = 50 for the following sample sizes:a. n = 30b. n = 45c. n = 60 AppendixLO1
Construct a 90% confidence interval to estimate the population mean using the following data:x = 85 s = 20 n = 10 What assumptions need to be made to construct this interval?AppendixLO1
Construct a 99% confidence interval to estimate the population mean using the following data:x = 60 s = 17 n = 12 What assumptions need to be made to construct this interval?Applications AppendixLO1
Banking fees have received much attention during the recent economic recession as banks look for ways to recover from the crisis. A sample of 30 customers paid an average fee of $12.55 per month on their interest-bearing checking accounts. Assume the population standard deviation is $1.75.a.
The average selling price of BlackBerry smartphones purchased by a random sample of 35 customers was $311.Assume the population standard deviation was $35.a. Construct a 90% confidence interval to estimate the average selling price in the population with this sample.b. What is the margin of error
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