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mathematics
business statistics
Elementary Statistics A Step By Step Approach 10th Edition Allan G. Bluman - Solutions
A machine produces parts continuously throughout the day with an overall defect rate of 0.80%. Periodically a random sample of 50 parts is sampled, and if 3 or more are found to be defective the machine is stopped and adjusted.a. What is the probability that in the next sample of 50 parts the
A large mail sorting center finds that, on average, 0.5% of all letters have an incorrect address.a. What is the probability that in a random sample of 500 letters at the center exactly 5 letters have an incorrect address?b. What is the probability that the random variable x, where x = Number of
A Harris poll indicated that 57% of Americans prefer to watch movies at home instead of going to a theater Pamela Gocobachi, “Adults prefer staying home over going to the movies, survey says,” www.ew.com, Jan. 10, 2014. Suppose students in a communications class at a major university polled 400
An article on the BBC website states that of more than 25 billion e-mail messages monitored by the company Symantec, 46.4% were classified as junk (“Spam email levels at 12-year low,” www.bbc.com, July 17, 2015). Suppose a company installed a new system for identifying junk messages and then
According to the Forbes website (www.forbes.com), in 2012, more than 32% of all U.S. employees chose to participate in an employer sponsored 401(k) retirement plan. Suppose researchers at a university in Georgia sampled employees in Atlanta with the aim of testing the Forbes claim. The results of
According to an April 28, 2015, report on the website newsroom.aaa.com, the average cost of owning and operating a sedan automobile in the United States in 2015 was $8,968. Suppose the California AAA plans to conduct a survey to determine whether the average cost of owning a sedan in California is
An advertising agency on the West Coast formulated a media advertising campaign for an online retailer and claims that its ads received “high approval” by at least 21% of adults with incomes over $50,000 per year. Suppose the online retailer wishes to test this claim. It surveys 883 adults with
The Nielsen Company reported that 30% of Millennials (ages 21–34) order groceries online (source: “The future of grocery: E-commerce, digital technology and changing shopper preferences around the world,” www.nielsen. com, Apr. 29, 2015). Suppose a U.S. grocery company wishes to test whether
Suppose a bank that issues credit cards claims that its customers’ average annual spending per active account is $6,920. An analysis of a random sample of credit card accounts provided the data on annual spending. This sample is in the file labeled ASpending.a. Conduct a hypothesis test to
Delfonte€™s Restaurant is a popular Italian eatery in the Bay Area in northern California. Recently, there has been a dispute among the wait staff regarding the amount of tips waiters receive on the lunch shift and on the dinner shift. Before making any adjustments in schedules or other
Being €œconnected€ is very important to people of all ages these days. One way people stay connected is by sending text messages. Suppose a study was conducted at a major state university to determine whether the mean number of texts sent per day differed between male and
A fitness journal is interested in knowing whether there is a difference in percentage body fat for people who are 30 and under versus those who are over 30 years old. It is thought that the older group will have a higher average body fat percentage. A file titled BodyFat contains data for a sample
A survey conducted at a midwestern university and involving 1,500 students found that 68% had taken out a student loan to help pay for the cost of their college education. A similar study at a southeastern university in which 2,000 students were surveyed found that 47% had taken out a student
Suppose a project was undertaken by the Department of Labor in a southern state to determine whether the most recent economic recession affected men and women differently. Assume that random samples of 485 adult males and 242 adult females were selected. The subjects were asked whether they had
The file titled Tuition and Fees shows the in-state and out of state tuition and fees for a sample of public universities in the United States. Based on these data, develop a 90% confidence interval estimate for the difference in average tuition between in state and out of state.
A national fitness chain is considering being a representative for a weight loss program. The company has narrowed the choice of programs down to two options. Before making the selection, the company has asked each weight loss program to submit a random sample of 40 individuals who were on the
The human resources director of a Fortune 500 company recently asked her staff to conduct a study of the airline miles traveled by executives of the company during the most recent calendar year. The analyst assigned to the project randomly sampled 20 male executives and 20 female executives. Of
The vehicle fleet manager for a large agricultural company realizes that passenger cars get higher average mileage than pickup trucks. However, he is interested in determining whether there is a difference in the variability in miles per gallon for the two types of vehicles. To test this, he has
A state income tax audit was recently conducted at a restaurant in St. Louis. The audit team selected a random sample of 100 lunch and 100 dinner sales receipts and recorded the state sales tax collected on each receipt. These values are recorded in the file called Tax Receipts. Of interest is
Identify three situations in which organizations would be interested in limiting the standard deviation of a process.
The 2013 graduating class from St. Francis University in Pennsylvania had the highest average student debt of all U.S. college graduates: $50,275. Second on the list was The Citadel in South Carolina, at $48,862. (Susannah Snider, “10 Colleges that leave graduates with the most student loan
Suppose staff members at the U.S. Department of Education conducted a study to determine whether there is a difference in the variation in teacher salaries between Oregon and Nebraska. The sample data are in the file called Teacher Salaries. Perform the appropriate statistical test using a
Customer orders placed online at an e-retailer are filled and shipped from four different warehouses in Cleveland, Atlanta, Denver, and Sacramento. A random sample of 20 customer orders was chosen from all shipments filled in a week at the four warehouses and weighed. The weights of each sampled
An online undergraduate business school uses a learning management software system (LMS) that allows instructors to know how many hours students are connected to the course website. When studying for the midterm exam, students have a choice of using two study guides. One study guide comes with the
A study commissioned by the Missouri Traffic Safety Commission was conducted to determine if the proportion of adults who have been in an auto accident in the past three years is related to the age of the driver. Based on the following data, conduct the appropriate goodness-of-fit test using a
A concert promoter has randomly sampled 100 concertgoers to determine whether there is a linear relationship between income level and the number of concerts attended per year. The correlation between these two variables was 0.68. Based on this calculation, is there a statistically significant
A department store manager randomly sampled customers in her store. She recorded the number of minutes each customer spent in the store and then asked the customers how many miles they had traveled to get to the store from their home. These data are in a file called Shopping.a. Create a scatter
A company that makes designer sandals has tracked the production volume over the past six months. Because of the company€™s focus on quality, some sandals need to be reworked before they are fit to be shipped to customers. The number of pairs of sandals produced and the number of pairs
Sarin Employment helps midsized to large companies fill management and high-level technical positions. The file Sarin contains data for a sample of job placements that the company has facilitated. The data show the number of days it took to fill the job and the fee billed to the client.a. Construct
Geoff Black is the owner and president of Black Manufacturing. He has a passion for process improvement and has invested in his employees over the years to help them be more productive. Recently he hired a consulting firm to come into his plant and provide specialized training to employees who work
A department store manager randomly sampled customers who shopped in her store. She recorded the number of minutes each customer spent in the store and then asked the customers how many miles they traveled to get to the store from their home. These data are in a file called Shopping.a. Develop a
The Nevada Gaming Control Board’s “Gaming Revenue Report” published on December 31, 2015, contains a wide array of data pertaining to gambling revenues in Nevada. The file titled Nevada Revenues contains data for seven of the most popular gambling games on both the number of units for each
A golf ball maker is interested in analyzing the relationship between the club head speed that a male player achieves when he uses a driver and the distance the ball travels. The sample data are listed here.Club Speed (mph) ....................... Distance (yards)95
The Billingsley Health Center offers a regimented weight loss program for its customers. The program director monitored 83 men. The file called BHC contains data on the weight they lost after six weeks on the program and the average daily calories each consumed per day.a. Develop a regression model
The Bureau of Labor Statistics (BLS) publishes data on many characteristics of the U.S. economy. The file called BLS County Data contains information on every county in the United States for which data are available (source: www.bls.gov/data/). Two of the variables are the 2014 county unemployment
A manager has computed the correlation between the number of hours of sick leave taken per year and the annual salary for the 200 employees in her company. The hours of sick leave range from 0 to 39, and the correlation coefficient for the two variables is r = -0.19. Suppose the manager has another
Paul Browning owns and operates a medium size company that sells sunglasses and beachwear to retailers in the United States and Canada. He is interested in analyzing the effect of several variables on the weekly sales for his business. He has collected data for a sample of 20 weeks, and the data
Refer to Exercise 15-8 and the data file Browning.a. Produce a regression equation that will predict the sales as a function of the other four variables.b. Determine if the overall model is significant. Use a significance level of 0.05.c. Conduct a test of hypothesis to discover if any of the
The gross state product (GSP) is the sales of all goods and services originating in a state minus the costs of any goods or services used to generate the sales. The file State GSP contains the 2015 GSP for all 50 U.S. states along with several other variables, including gasoline prices, the 2015
The U.S. Energy Information Administration compiles data on the U.S. energy industry. The file titled Energy contains data on the number of megawatt-hours of electricity sold in the United States to all customers, the average price per kilowatt-hour, the total number of customers, and the total
Discuss the logic of how the first two variables are selected in a forward stepwise regression model.
Discuss what is meant by the least squares criterion as it pertains to multiple regression analysis. Is the least squares criterion any different for simple regression analysis? Discuss.
An ABC/Washington Post poll indicates that 45% of U.S. adults favor a ban on assault weapons (source: Gary Langer, “Most now oppose an assault weapons ban; doubts about stopping a lone wolf run high (poll), http:// abcnews.go.com, Dec. 16, 2015). Suppose 300 adults in California are randomly
Suppose the general manager for a company that produces a complicated electronics component used in the navigation systems in automobiles has stated that 69% of the items made pass through the final inspection without needing any rework. The quality manager wished to verify this statement. To do
The 2015 Milliman Medical Index reported on its website (www.milliman.com) that in 2015 the average annual out-of-pocket medical costs for a typical family were $4,065. A health care consumer group believes that the actual average is higher than this. Suppose the group has selected a random sample
The owner of an Axion health club franchise believes that the average age of her members is under 55 years. To testžthis, a random sample of 30 was selected; the following sample data are the ages of the sampled individuals:a. State the appropriate null and alternative hypotheses.b. Use the
According to the website www.truecar.com, the average price of a new sports car sold in the United States in 2015 was $31,262. Suppose that, during the first three months of 2016, a random sample of prices paid for sports cars is as follows:Based on the sample information, can you conclude at the
A marketing research firm conducted a survey to determine how adults in Philadelphia use their cell phones. The survey randomly sampled 250 adults. One question asked in the survey was “Over the past month have you used your cell phone to pay a credit card bill?” The sampled responses to this
A company’s internal audit department randomly sampled 121 employee business travel reimbursement requests as part of an ongoing program to control and manage travel expenses. The dollar amounts for the sampled travel reimbursement requests are contained in the file titled Travel. As a part of
PR Newswire reported that in 2015, the mean number of text messages sent by Americans was 32 (source: “No time to talk: Americans sending/receiving five times as many texts compared to phone calls each day, according to new report,” www.prnewswire.com, Mar. 25, 2015). A major cell phone service
Several states including Colorado, Idaho, Kansas, Mississippi, Oregon, Texas, Utah, and Wisconsin have passed legislation that allows holders of gun permits to carry weapons on college campuses in those states. The file Guns contains data from a survey conducted on a college campus in another state
Nielsen’s Advertising and Audiences report indicated that during the 2013–2014 season, more people in the United States watched TV on Sundays during prime time (average of 125 million) than any other night of the week. Monday ranked second with 120 million U.S. viewers. Fridays and Saturdays
A computer scanner can read a bar code on a package correctly 97% of the time. One company monitors the accuracy of the scanner by randomly sampling packages and verifying that each package has been correctly scanned. Random samples of size n = 25, 50, 100, and 200 have recently been taken with the
A company in Hawaii manages properties for owners and arranges for the properties to be rented. A property owner who is considering using the company is told that 10% of the bookings result in a cancellation.a. Assuming that the company’s number is correct, what is the probability that a random
Under what conditions should the finite population correction factor be used in determining the standard error of a sampling distribution?
Findings from the National Health and Nutrition Examination Survey (NHANES) 1999€“2002, the National Health Interview Survey (NHIS) 2006, and the Tobacco Use Supplement to the Current Population Survey (TUS CPS) 2003 in the Pfizer Facts report titled €œSmoking in the United
A manufacturing process applies a coating to a product in order to protect it from scratches. If the thickness of the coating follows a uniform distribution between 15 and 25 microns, determinea. The mean thickness of the protective coatingb. The standard deviation of the thickness of the
If the average amount of time customers spent online at an Internet retailer’s site is assumed to be normally distributed with mean of 36 minutes and a standard deviation of 6 minutes, determinea. The probability a customer spends less than 30 minutes on the siteb. The probability a customer
The Schoonover Manufacturing Company monitors the downtimes on its key fabricating machines. Data for the downtimes on one particular machine are in the file called Schoonover. Assuming that the downtimes are exponentially distributed, use the data in the file to find the probability that a
A file titled Tuition contains the percent change in in-state tuition for 50 universities (The College Board, “Annual survey of colleges,” October 2015).a. Produce a relative frequency histogram for these data. Does it seem plausible that the data are from a population that has a normal
Darlington Industries produces a wide array of home safety and security products, including smoke alarms. As part of its quality-control program, it constantly tests to assure that the alarms work. A change in the manufacturing process requires the company to determine the proportion of alarms that
An article by Erin ElIssa titled “2015 American household credit card debt study” (www.nerdwallet.com) indicated that for households that had credit card debt, the average debt in 2015 was $15,355. Assume that credit card debt per household has a normal distribution with a standard deviation of
According to the website www.zanebenefits.com, the average cost of a stay in a U.S. hospital in 2013 for a Medicare patient was $11,600. Assume that this cost is exponentially distributed.a. Determine the probability that a randomly selected patient’s stay in an American hospital will cost more
A California water company has determined that the average customer billing is $1,250 per year and the amounts billed have an exponential distribution.a. Calculate the probability that a randomly chosen customer would spend more than $5,000.b. Compute the probability that a randomly chosen customer
The manager of an online shopping website has determined that an average of 11 customers per minute make a purchase on Saturdays. The manager believes that each customer’s purchase is independent and has decided to model the number of purchases per minute using a Poisson probability
The blood pressures of all patients admitted to a hospital on a specific day.State whether the variable is discrete or continuous.
Define and give three examples of a random variable.
Explain the difference between a discrete and a continuous random variable.
List three continuous random variables and three discrete random variables associated with a major league baseball game.
Determine whether the distribution represents a probability distribution. If it does not, state why. 15 16 25 20 0.5 0.7 0.2 0.7 -0.8 P(X)
Determine whether the distribution represents a probability distribution. If it does not, state why. 5 P(X) 0.6 0.8 -0.4
Determine whether the distribution represents a probability distribution. If it does not, state why. -5 -3 0.3 2 0.3 4 P(X) 0.2 0.1 0.1
Determine whether the distribution represents a probability distribution. If it does not, state why. 30 40 20 P(X) 0.05 0.35 0.2 0.4
Determine whether the distribution represents a probability distribution. If it does not, state why. 3 1 0.3 P(X) 0.3 0.4 0.1
Determine whether the distribution represents a probability distribution. If it does not, state why. 3 14 12 P(X) 13 13 13 13 13
The number of books in your school’s library.State whether the variable is discrete or continuous.
The number of people who play the state lottery each day.State whether the variable is discrete or continuous.
The temperature of the water in Lake ErieState whether the variable is discrete or continuous.
The time it takes to have a medical physical examState whether the variable is discrete or continuous.
The total number of points scored in a basketball gameState whether the variable is discrete or continuous.
The probability that a college bookstore sells 0, 1, 2, or 3 statistical calculators on any given day is 4/9, 2/9, 2/9, and 1/9, respectively.Construct a probability distribution for the data and draw a graph for the distribution.
The probability that an automobile repair shop sells 0, 1, 2, 3, or 4 tires on any given day is 0.25, 0.05, 0.30, 0.00, and 0.40 respectively.Construct a probability distribution for the data and draw a graph for the distribution.
The first six triangular numbers (1, 3, 6, 10, 15, 21) are printed one each on one side of a card. The cards are placed face down and mixed. Choose two cards at random, and let x be the sum of the two numbers. Construct the probability distribution for this random variable x.
In a popular day care center, the probability that a child will play with the computer is 0.45; the probability that he or she will play dress-up is 0.27; play with blocks, 0.18; and paint, 0.1. Construct the probability distribution for this discrete random variable.
The probability that a hockey team scores a total of 1 goal in a game is 0.124; 2 goals, 0.297; 3 goals, 0.402; 4 goals, 0.094; and 5 goals, 0.083. Construct the probability distribution for this discrete random variable and draw the graph.
At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.117; 5 students, 0.123; 6 students, 0.295; and 7 students, 0.328. Find the probability that a tutor sees 8 students in an hour, construct the
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X/6 for X = 1, 2, 3 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X for X = 0.2, 0.3, 0.5 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X/6 for X = 3, 4, 7 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X + 0.1 for X = 0.1, 0.02, 0.04 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X/7 for X = 1, 2, 4 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X/(X + 2) for X = 0, 1, 2 3 х P(X) 61-16
The probability that a child plays one computer game is one-half as likely as that of playing two computer games. The probability of playing three games is twice as likely as that of playing two games, and the probability of playing four games is the average of the other three. Let X be the number
A researcher wishes to determine the number of cups of coffee a customer drinks with an evening meal at a restaurant. Find the mean, variance, and standard deviation for the distribution. 1 2 3 2 0.42 0.02 P(X)| 0.31 0.04 0.21
A survey was taken of the number of daily newspapers a person reads per day. Find the mean, variance, and standard deviation of the distribution. х о P(X) 0.42 3 2 2 0.35 0.03 0.20
A contractor has four new home plans. Plan 1 is a home with six windows. Plan 2 is a home with seven windows. Plan 3 has eight windows, and plan 4 has nine windows. The probability distribution for the sale of the homes is shown. Find the mean, variance, and standard deviation for the number of
A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3-hour period. Find the mean, variance, and standard deviation for the probability distribution. Here X is the number of people who used the machine. 2 1
The leading digits in actual data, such as stock prices, population numbers, death rates, and lengths of rivers, do not occur randomly as one might suppose, but instead follow a distribution according to Benford€™s law. Below is the probability distribution for the leading digits in
A survey shows the probability of the number of automobiles that families in a certain housing plan own. Find the mean, variance, and standard deviation for the distribution. 1 3 2 х P(X) 4 0.46 0.05 0.01 0.27 0.21
A convenience store has made up 20 grab bag gifts and is offering them for $2.00 a bag. Ten bags contain merchandise worth $1.00. Six bags contain merchandise worth $2.00, and four bags contain merchandise worth $3.00. Suppose you purchase one bag. What is your expected gain or loss?
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