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Business Statistics 2nd Edition Robert A. Donnelly - Solutions
A grocery store has 18 two liter bottles of diet cola on the shelf, four of which have exceeded their shelf life date. You randomly select three bottles of diet cola without checking the expiration date. Determine the probability of the following:a. None of the bottles have exceeded their
The following table shows the discrete probability distribution for the number of bedrooms per house in a certain community:Number of Bedrooms Probability3
An IRS agent has 19 tax returns on her desk, of which 14 were filed using the short form (1040A). She randomly chooses eight returns to audit. Determine the probability of the following:a. All eight were filed using the short form.b. At least six were filed using the short form.c. Explain why it is
My department at school is comprised of 10 faculty and 6 administrators. I need to organize a committee of six people from the department. If I randomly select these committee members, determine the probability that the committee consists of the following:a. Two faculty and four administersb. Four
Winner Automotive has a current inventory of 14 used cars and 8 used trucks. Management needs to select 10 used vehicles to participate in a special used vehicle sale at the local shopping mall. If the vehicles are selected randomly, determine the probability of the following occurring:a. Four
Packer Fan Tours is the official tour company for the Green Bay Packers of the NFL. One of the events in its package is to sponsor a reception the night before a game for fans that is attended by three of the players from the team. There are 53 players on the Green Bay Packers’ roster, of which
In a standard 52deck of cards, there are 12 face cards consisting of four jacks, queens, and kings. You are randomly dealt a five card hand from the deck. What is the probability that your hand will contain the following?a. No face cardsb. One face cardc. Two face cardsd. Four face cardse.
Kohls Candy Company developed a new consumer product that is expected to earn $ 4,000 in profit each year if consumer demand is low, $ 20,000 per year if consumer demand is moderate, and $ 36,000 per year if consumer demand is high. The probability of low, moderate, and high demand is 30%, 45%, and
Avalon Bakery would like you to recommend how many loaves of its famous marble rye bread to bake at the beginning of the day. Each loaf costs the bakery $ 3.00 and can be sold for $ 6.00. Leftover loaves at the end of each day are donated to charity. Research has shown that the probabilities for
For a standard normal distribution, determine the following:a. P (z < 1.50)b. P (z < - 1.22)c. P (-0.86 < z < 1.76)d. P (0.32 < z < 2.15)
A study conducted by Hershey’s discovered that Americans consumed an average of 11.4 pounds of chocolate per year (seems low to me). Let’s assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.6 pounds.a. What is the probability that I will
According to the Internal Revenue Service, the average income tax refund for the 2011 tax year was $ 2,913. Assume the refund per person follows the normal probability distribution with a standard deviation of $ 950.a. What is the probability that a randomly selected tax return refund from the 2011
Assume the cost of an extended 100,000 mile warranty for a particular SUV follows the normal distribution with a mean of $ 1,600 and a standard deviation of $ 75.a. Determine the interval of warranty costs from various companies that are1. One standard deviation around the mean.2. Two standard
The average price of a 42- in. television on Best Buy’s Web site is $ 790. Assume the price of these televisions follows the normal distribution with a standard deviation of $ 160.a. What is the probability that a randomly selected television from the site sells for1. Less than $ 700?
A credit score measures a person’s creditworthiness. According to the credit- scoring company Experian, the average credit score for Americans in march 2013 was 736. Assume the scores are normally distributed with a standard deviation of 40. Determine the interval of credit scores that area. One
According to e-Marketer, 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
Curling is a Winter Olympic sport in which people slide a stone along a sheet of ice toward a target area. The game is similar to shuffleboard. Two sweepers with brooms lead the stone along the ice, attempting to influence its path toward the target. According to the Journal of Sports Science and
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,
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
For a standard normal distribution, determine the following:a. P (z > 1.35)b. P (z > - 0.42)c. P (- 1.70 < z < - 0.65)d. P (-1.69 < z < 0.20)
According to Gartner, Inc., 39.2% of mobile phones worldwide use the Android operating system in 2013. A random sample of 30 mobile phone users was selected in 2013. Assuming this estimate is true, use the normal approximation to the binomial distribution to answer the following:a. Calculate the
An exponential probability distribution has a mean equal to 10 minutes per customer. Calculate the following probabilities for the distribution:a. P(x < 12)b. P(x < 2)c. P(x < 10)d. P(x < 5)
An exponential probability distribution has a mean equal to 7 minutes per customer. Calculate the following probabilities for the distribution:a. P(x 7 12)b. P(x 7 32c. P(7 < x < 10)d. P(1 < x < 5)
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?
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?
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 last1. 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 arrive1. 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 arrive1. 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. P(x < 25)2. P(x < 30)3. P(x < 45)4. P(x = 28)b. What are the mean and standard deviation of this distribution?
A random variable follows the normal probability distribution with a mean of 80 and a standard deviation of 20. What is the probability that a randomly selected value from this populationa. Is less than 90?b. Is less than 65?c. Is more than 110?d. Is more than 40?
A random variable follows the continuous uniform distribution between 60 and 95.a. Calculate the following probabilities for the distribution:1. P(x > 63)2. P(x > 70)3. P(x > 88)4. P(x = 75)b. What are the mean and standard deviation of this distribution?
A random variable follows the continuous uniform distribution between 20 and 120.a. Calculate the following probabilities for the distribution:1. P (40 < x < 60)2. P (55 < x < 100)3. P (80 < x < 110)b. What are the mean and standard deviation of this distribution?
A random variable follows the continuous uniform distribution between 130 and 300.a. Calculate the following probabilities for the distribution:1. P (180 < x < 260)2. P (130 < x < 200)3. P (x 7 150)b. What are the mean and standard deviation of this distribution?
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 f(x).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 f(x).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 f(x).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 f(x).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 be1. Less than $ 80?2. Less than $ 90?3. Exactly $ 85?4. Between $ 75
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 last1. More than 36,000 miles
A random variable follows the normal probability distribution with a mean of 124 and a standard deviation of 27. What is the probability that a randomly selected value from this populationa. Is between 100 and 140?b. Is between 130 and 170?c. Is between 65 and 90?d. Is between 120 and 180?
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 three star hotel has a room rate of1. 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 get1. 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
TomTom, the producer of GPS devices, reported that the fastest drivers in the nation are in Mississippi. In Mississippi, interstate drivers average 70.1 miles per hour. Assume that the speed of cars traveling on Mississippi’s interstates follows the normal distribution with a standard deviation
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 earned1. Less than $
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 who 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 dads spent an average of 10 hours per week doing housework (compared to 18 hours
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
A binomial distribution has p = 0.60 and n = 40.a. What are the mean and standard deviation for this distribution?b. What is the probability of exactly 27 successes?c. What is the probability of less than 30 successes?d. What is the probability of more than 20 successes?
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
In an effort to hold colleges accountable for the benefits of a degree, legislation has been recently proposed to require institutions to provide prospective students with salary information for graduates. The state of Virginia has traditionally published starting salary data for their graduating
Automotive dealerships have made recent efforts to reduce the amount of time required to purchase a car. One strategy is to use the Internet to streamline the process by providing prospective buyers with car information. According to J.D. Powers, the average number of minutes to negotiate a deal to
In spite an unemployment rate of 26% and an economy in crisis, 70% of Spaniards responded that they were in favor of keeping the euro rather than returning to the peseta and the national currency in 2012. A random sample of 32 Spaniards was selected. Use the normal approximation to the binomial
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
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
Much of the NCAA men’s basketball tournament, otherwise known as March Madness, takes place during the workweek. According to CouponCabin.com, 34% of employed adults who plan to watch at least one game plan to watch tournament games from work in 2013. A random sample of 50 employed adults who
According to the U. S. Census Bureau, 47.5% of the U.S. population lives in the Eastern Time Zone. A random sample of 50 U.S. residents 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 binomial distribution has p = 0.22 and n = 75.a. What are the mean and standard deviation for this distribution?b. What is the probability of exactly 11 successes?c. What is the probability of 10 to 18 successes?d. What is the probability of 8 to 15 successes?
During a recent men’s college basketball season, the Villanova Wildcats averaged 22.1 personal fouls per 40 minute game. Assume the time between personal fouls follows an exponential distribution.a. What is the probability that the next personal foul committed by Villanova will occur within the
Patients arrive at the emergency room for a local hospital at an average rate of 6.5 per hour. Assume the time between patient arrivals follows an exponential distribution.a. What is the probability that the next patient will arrive in the emergency room within the next 3 minutes?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
Orange Lake Resort is a major vacation destination near Orlando, Florida, adjacent to the Disney theme parks. Because the property consists of 1,450 acres of land, Orange Lake provides shuttle buses for visitors who need to travel within the resort. Suppose the wait time for a shuttle bus follows
Precision Doors is an organization that installs new garage doors on residential homes. Suppose the installation time for a residence follows the uniform distribution with a minimum time of 190 minutes and a maximum time of 370 minutes.a. What is the probability that an installation will require
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
Aircraft turnaround time is defined as the time required to prepare an aircraft for its next flight after arriving at a terminal. Assume that United Airlines’ turnaround time follows a uniform distribution with a minimum time of 24 minutes and a maximum time of 56 minutes.a. Determine the
The average number of miles driven on a full tank of gas in a Hyundai Veracruz before its low- fuel light comes on is 320. Assume this mileage follows the normal distribution with a standard deviation of 30 miles. What is the probability that, before the low- fuel light comes on, the car will
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
According to a recent survey by Smith Travel Research, the average daily rate for a luxury hotel in the United States is $ 237.22. Assume the daily rate follows a normal probability distribution with a standard deviation of $ 21.45.a. What is the probability that a randomly selected luxury
Major League Baseball teams have become concerned about the length of games. During a recent season, games averaged 2 hours and 52 minutes (172 minutes) to complete. Assume the length of games follows the normal distribution with a standard deviation of 16 minutes.a. What is the probability that 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
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.
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?
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
Iron Hill Café is a full service restaurant in Columbus, Ohio, which is owned and managed by John Stevens. The number of minutes that diners spend at the table has a major impact on the profitability of the restaurant. Suppose the average number of minutes that diners spend at a table for dinner
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
According to a recent survey by the National Retail Federation, men spent an average of $ 135.35 on Valentine’s Day gifts (compared with $ 72.28 for women). Assume the standard deviation for this population is $ 40 and that it is normally distributed. A random sample of 10 men who celebrate
With higher unemployment rates for young adults, an increasing number of parents are providing some form of financial support for their adult children. According to a 2013 Harris poll, parents of 18 to 35 year old children spend an average of $ 108 per month for their offspring’s phone, music,
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.
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.a. Calculate the mean for this population.b. Calculate the sampling error using the first five homes in the first
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
For a population with a proportion equal to 0.30, calculate the standard error of the proportion for the following sample sizes: a. 50 b. 100 c. 150
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.
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.
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.
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