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business statistics communicating
Business Statistics 10th Global Edition David Groebner, Patrick Shannon, Phillip Fry - Solutions
Suppose a quality manager for Dell Computers has collected the following data on the quality status of disk drives by supplier. She inspected a total of 700 disk drives.Drive Status Supplier Working Defective Company A 120 10 Company B 180 15 Company C 50 5 Company D 300 20a. Based on these
The URS Corporation construction company has submitted two bids, one to build a large hotel in London and the other to build a commercial office building in New York City. The company believes it has a 40% chance of winning the hotel bid and a 25% chance of winning the office building bid.The
Three events occur with probabilities P1E12 = 0.35, P1E22 = 0.15, P1E32 = 0.40. If the event B occurs, the probability becomes P1E1 B2 = 0.25, P1B2 = 0.30.a. Calculate P1E1 and B2.b. Compute P1E1 or B2.c. Assume that E1, E2, and E3 are independent events.Calculate P1E1 and E2 and E32.
There are reasons for students to choose specific universities for higher studies. In a survey of undergraduate students, the following data were obtained on students applying a degree program in a university based on their enrollment status:Enrollment Status University Quality Program Fees Other
A college basketball team has 10 players; 5 are seniors, 2 are juniors, and 3 are sophomores. Two players are randomly selected to serve as captains for the next game. What is the probability that both players selected are seniors?
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint.So she selects two of the three brands of
A Jack in the Box franchise manager has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order french fries is 0.50.a. If a customer places an order, what is the probability
A study was conducted in a school on how students travel to school. Following are the data collected for three methods students use to travel to school:Methods Number of People Carpool 35 Drive 14 Public transport 47a. Construct a relative frequency table for the provided data.b. What is the
A selection of soft-drink users is asked to taste two disguised soft drinks and indicate which they prefer.The file titled Challenge contains the results of a study that was conducted on a college campus.a. Determine the probability that a randomly chosen student prefers Pepsi.b. Determine the
A survey on cell phone use asked, in part, what was the most important reason people give for not using a wireless phone exclusively. The responses were: (1) Like the safety of traditional phone, (2) Like having a land line for a backup phone, (3) Pricing not attractive enough, (4) Weak or
A scooter manufacturing company is notified whenever a scooter breaks down, and the problem is classified as being either mechanical or electrical. The company then matches the scooter to the plant where it was assembled. The file Scooters contains a random sample of 200 breakdowns. Use the data in
Several years ago, a large state university conducted a survey of undergraduate students regarding their use of computers. The results of the survey are contained in the data file ComputerUse.a. Based on the data from the survey, what was the probability that undergraduate students at this
The data in the file called Babies indicate whether the past 50 babies delivered at a local hospital were delivered using the caesarean method.a. Based on these data, what is the probability that a baby born in this hospital will be born using the caesarean method?b. What concerns might you have
Two agents joined an insurance company a year ago.During the year, the first agent sold 32 life insurance policies, with an insurance sum of $42 million. For the same type of policy, the second agent sold 29 with a sum of $46 million. The company’s sales report for the year state that 525 life
At Chrisdale Kindergarten, there are three classes for 148 students in their first year. Anna is one of the teachers at Chrisdale and she is interested to know about the students’ favorite pet. She conducted a survey and the results show that 65 students like dogs, 54 students like cats, 12
A survey of 490 workers included the question “In your opinion, is it OK for a company to monitor its employees’ Internet use?” The possible responses were:(1) Only after informing the employees, (2) Does not need to inform the employees, (3) Only when company believes an employee is misusing
Golden Screen Cinema (GSC) is showcasing two popular Hollywood movies—Harry Potter and The Pirates of the Caribbean. Both movies are being shown in large auditoriums that can accommodate a maximum of 200 people. According to the number of tickets sold on a specific day, GSC found that 145 people
One automobile dealership sells Buick, Cadillac, and Chevrolet automobiles. It also sells used cars that it gets as trade-ins on new car purchases. If two cars are sold on Tuesday by the dealership, what is the sample space for the type of cars that might be sold?
A school is going to conduct cocurricular activities for its students. The teachers conducted a survey to find out the students’ areas of interest and asked them to choose their favorite activity. From a sample of 100 students, the teachers found that 32 students are interested in music and
China’s stock markets are tumbling. A three week’s plunge has knocked off about 5%, 6%, and 7% weekly Chinese shares. Investors are concerned and many of them have borrowed to be able to continue playing in the stock market. Two newspapers are estimating tomorrow’s chances for the Chinese
It is a sunny day and Cecelia goes to a cafe to purchase an ice-cream. In terms of size, she has three choices—small, medium, or large. For each size she chooses, she may include one topping of chocolate chips, wild strawberries, or almond flakes. By using a tree diagram, help Cecelia determine
Shaun follows his friend to the horse betting field. This is his first time there and he has no experience on how to bet in horse races. He makes his choice based on his friend’s information and the data showed on the display board. What probability assessment approach did Shaun use? Explain.
Tomorrow, Sharon is going to sit for her mathematics test. The test paper consists 10 multiple choice questions with four possible answers A, B, C, and D for each question. Due to lack of practice, she is going to try her luck by guessing the correct answer for each question. Sharon needs to pass
Cyber-Plastics, Inc., is in search of a CEO and a CFO.The company has a short list of candidates for each position. The four CEO candidates graduated from Chicago (C) and three Ivy League universities:Harvard (H), Princeton (P), and Yale (Y). The four CFO candidates graduated from MIT (M),
Cross County Bicycles makes two mountain bike models, the XB-50 and the YZ-99, in three distinct colors. The following table shows the production volumes for last week:a. Based on the relative frequency assessment method, what is the probability that a mountain bike is brown?b. What is the
The results of a census of 2,500 employees of a midsized company with 401(k) retirement accounts are as follows:Suppose researchers are going to sample employees from the company for further study.a. Based on the relative frequency assessment method, what is the probability that a randomly selected
Students who live on campus and purchase a meal plan are randomly assigned to one of three dining halls: the Commons, Northeast, and Frazier. What is the probability that the next student to purchase a meal plan will be assigned to the Commons?
One of your classmates lives in the same locality where you stay. One of the classmate’s car broke down yesterday. You suspect there is a 90% of chance that she will call you for a ride to school today as you are the only one who resides near her.a. Which probability assessment approach did you
In each of the following, indicate what method of probability assessment would most likely be used to assess the probability.a. What is the probability that a major earthquake will occur in California in the next three years?b. What is the probability that a customer will return a purchase for a
Use a tree diagram to list the sample space for the number of movies rented by three customers at a Red Box video kiosk where customers are allowed to rent one, two, or three movies (assuming that each customer rents at least one movie).
If two customers are asked to list their choice of ice cream flavor from among vanilla, chocolate, and strawberry, list the sample space showing the possible outcomes.
In a survey, respondents were asked to indicate their favorite brand of cereal (Post or Kellogg’s). They were allowed only one choice. What is the probability concept that implies it is not possible for a single respondent to state both Post and Kellogg’s are the favorite cereal?
You toss a fair coin in the air and then draw a card from a deck of 52 cards. Will the probability of drawing a king from the deck be affected by the output of the coin toss?
A manufacturing company operates three shifts daily.Each shift produces two models: A and B. A random sample of daily production has been taken, and the results are in the file Shift Production.a. Develop a box and whisker plot that compares daily production by shift and model.b. Is there a
A coffee shop would like to compare the dollar purchases of customers who use the drive-thru and those who come inside. A random sample of inside and drivethru purchases is taken, and the results are contained in the file Coffee Shop Sales.a. Develop a box and whisker plot to compare the dollar
The Cozine Corporation operates a garbage hauling business. Up to this point, the company has been charged a flat fee for each of the garbage trucks that enters the county landfill. The flat fee is based on the assumed truck weight of 45,000 pounds. In two weeks, the company is required to appear
For the past few years, one of the country’s biggest taxpreparing companies has sponsored an event in which 50 certified public accountants from all sizes of CPA firms are asked to determine the tax owed for a fictitious citizen. The IRS is also asked to determine the “correct”tax owed. Last
Chad’s Bakery makes a variety of bread types that it sells to supermarket chains in the area. One of Chad’s problems is that the number of loaves of each type of bread sold each day by the chain stores varies considerably, making it difficult to know how many loaves to bake. A sample of daily
Yahoo! Finance makes available historical stock prices.It lists the opening, high, and low stock prices for each stock available on NYSE and NASDAQ. A file titled GEstock gives these data for General Electric (GE) for the period October 1, 2015, through December 24, 2015.a. Calculate the difference
The file titled Payscale contains data on salaries for a sample of MBA graduates in California and Florida.a. Calculate the standard deviations of the salaries for both states’ MBA graduates. Which state seems to have a wider spectrum of salaries for MBA graduates?b. Calculate the average and
A file titled Halloween contains sample data on Halloween spending for costumes.a. Calculate the mean and standard deviation of these data.b. Determine the following intervals for this data set:x { 1s, x { 2s, x { 3s.c. Suppose your responsibility as an assistant manager of a costume store was to
The Environmental Protection Agency (EPA) tests all new cars and provides a mileage rating for both city and highway driving conditions. For 2015, 32 electric cars were tested, and the data are contained in the data file Electric Cars (source: www.fueleconomy.gov). In this exercise, focus on the
The data in the file named Fast100 were collected by D. L. Green & Associates. To aid the investment firm in locating appropriate investments for its clients, Sandra Williams, an assistant client manager, put together a database on 100 fast-growing companies. The database consists of data on eight
The AJ Fitness Club is a full-service fitness center that offers its members the latest in weight machines, cardio equipment, and exercise classes. The company has surveyed its members to learn how satisfied they are with the services provided by the club. The data for this survey are in the file
P&Q is a plastic bucket manufacturer. It chooses to use polypropylene in manufacturing the buckets because it is strong and can usually withstand high temperatures.P&Q’s quality control inspector is testing the polypropylene strengths (in MPa) provided by three different suppliers. P&Q samples 5
Volatile acidity is a measure of the wine’s volatile acids.The primary volatile acid in wine is acetic acid, which is also the primary acid associated with the smell and taste of vinegar. The following are the low volatile acidity levels (in g/l) selected from 10 different wines:0.70 0.88 0.76
Edmund wants to buy a secondhand PlayStation 3(PS3) and he surveys the selling price from three different sources. He can purchase a PS3 from a friend, from a retail shop, or online. The following are the average and standard deviation values he finds through the three different sources:Friends
Cathy wants to determine the type of slimming products that give better results in losing weight. She is considering two types of slimming products—pills and food supplements. She assigned two groups of people, having a similar body size, to use these products. After a month of treatment, she
Agri-Chemical Company has decided to implement a new incentive system for the managers of its three plants. The plan calls for a bonus to be paid next month to the manager whose plant has the greatest relative improvement over the average monthly production volume. The following data reflect the
An HR manager of a company finds that teenagers frequently change jobs. The dissatisfaction with their present jobs is a major factor in the decision they make.Thus, she selects a sample of interviews of 15 teenagers from the past six months. She records the number of months the teenagers spent on
The engineers at Jaguar Land Rover (JLR) produced a recent study on the service process for renewals. The repair procedures are under constant review; therefore, durations are subject to change. The revised durations(in hours) selected from oil seal installations are as follows:2.0 1.9 2.2 2.1 1.8
Interns are complaining about either their internship stipend being very low or about the fact that they do not receive any stipend at all. To study this further, a lecturer selects a random sample of interns and his records show that the average salary of an intern is$800 per month. Assume that
Suppose the mean age of video game players is 28, the standard deviation is 9 years, and the distribution is bellshaped.To assist a video game company’s marketing department in obtaining demographics to increase sales, determine the proportion of players who area. between 19 and 28b. between 28
Recently, a store manager tracked the time customers spent in the store from the time they took a number until they left. A sample of 16 customers was selected and the following data (measured in minutes) were recorded:15 14 16 14 14 14 13 8 12 9 7 17 10 15 16 16a. Compute the mean, median, mode,
The mode seems like a very simple measure of the location of a distribution. When would the mode be preferred over the median or the mean?
Since the standard deviation of a set of data requires more effort to compute than the range does, what advantages does the standard deviation have when discussing the spread in a set of data?
Cindy is the quality control specialist for a microphone manufacturing company. Every month, she will need to test 200 microphones with a sound pressure system.Each microphone should have the average sound pressure level around 100 dB with a standard deviation of 0.025 dB. The sound pressure level
Consider that the Empirical Rule stipulates that virtually all of the data values are within the interval m { 3s.Use this stipulation to determine an approximation for the standard deviation involving the range.
For a continuous variable that has a bell-shaped distribution, determine the percentiles associated with the endpoints of the intervals specified in the Empirical Rule.
Consider the following questions concerning the sample variance:a. Is it possible for a variance to be negative? Explain.b. What is the smallest value a variance can be?Under what conditions does the variance equal this smallest value?c. Under what conditions is the sample variance smaller than the
One factor that will be important for world trade is the growth rate of the population of the world’s countries.The data file Country Growth contains the most recent United Nations data on the population and the growth rate for the last decade for 232 countries throughout the world as of 2015
Airfare prices were collected for a round trip from Los Angeles (LAX) to Salt Lake City (SLC). Airfare prices were also collected for a round trip from Los Angeles(LAX) to Barcelona, Spain (BCN). Airfares were obtained for the designated and nearby airports during high travel months. The passenger
A company in Silicon Valley periodically offers its employees a full health screen in which data are collected on several characteristics including percent body fat. Data for a sample of employees are in the file Bodyfat. Use percent body fat as the variable of interest in the following
Nike RZN Black is one of the golf balls Nike, Inc., produces. It must meet the specifications of the United States Golf Association (USGA). The USGA mandates that the diameter of the ball shall not be less than 1.682 inches (42.67 mm). To verify that this specification is met, sample golf balls are
A West Coast newspaper has asked 50 certified public accountant (CPA) firms to complete the same tax return for a hypothetical head of household. The CPA firms have their tax experts complete the return with the objective of determining the total federal income tax liability. The data in the file
Fertilizer is a very important component for growing vegetables. It keeps the soil in optimum shape to feed the crops. Choosing the right type of fertilizer and adding the right amount are important steps in farming.Kim, the owner of a vegetable farm, is introduced to an organic fertilizer that
Thirty people were given an employment screening test, which is supposed to produce scores that are distributed according to a bell-shaped distribution. The following data reflect the scores of those 30 people:76 75 74 56 61 76 62 96 68 62 78 76 84 67 60 96 77 59 67 81 66 71 69 65 58 77 82 75 76 67
Suppose mortgage interest tax deductions average$8,268 for people with incomes between $50,000 and$200,000 and $365 for those with incomes of $40,000 to $50,000. Suppose also the standard deviations of the housing benefits in these two categories were equal to$2,750 and $120, respectively.a.
Lockheed Martin is a supplier for the aerospace industry. Suppose Lockheed is considering switching to Cirus Systems, Inc., a new supplier for one of the component parts it needs for an assembly. At issue is the variability of the components supplied by Cirus Systems, Inc., compared to that of the
The Jones and McFarlin Company provides call center support for a number of electronics manufacturers.Customers call in to receive assistance from a live technician for the products they have purchased from a retailer. Jones and McFarlin are experimenting with a new automated system that attempts
The owner of a clothes store wants to determine whether salespeople make more sales if they spend more time with customers. She randomly selects two salespersons from her shop and records the times (in minutes) with each customer during a period of 15 days. At the same time, she records the total
Consider the following population:71 89 65 97 46 52 99 41 62 88 73 50 91 71 52 86 92 60 70 91 73 98 56 80 70 63 55 61 40 95a. Determine the mean and variance.b. Determine the percentage of data values that fall in each of the following intervals:x { 2s, x { 3s, x { 4s.c. Compare these with the
Consider the following sample:22 46 25 37 35 84 33 54 80 37 76 34 48 86 41 13 49 45 62 47 72 70 91 51 91 43 56 25 12 65a. Calculate the mean and standard deviation for this data.b. Determine the percentage of data values that fall in each of the following intervals:x { s, x { 2s, x { 3s.c. Compare
The following data represent random samples taken from two different populations, A and B:A 31 10 69 25 62 61 46 74 57 B 1,030 1,111 1,155 978 943 983 932 1,067 1,013a. Compute the mean and standard deviation for the sample data randomly selected from Population A.b. Compute the mean and standard
If a sample mean is 1,000 and the sample standard deviation is 250, determine the standardized value fora. x = 800b. x = 1,200c. x = 1,000
Given two distributions with the following characteristics:Distribution A Distribution B m = 45,600 m = 33.40 s = 6,333 s = 4.05 If a value from Distribution A is 50,000 and a value from Distribution B is 40.0, convert each value to a standardized z-value and indicate which one is relatively closer
Two distributions of data are being analyzed.Distribution A has a mean of 500 and a standard deviation equal to 100. Distribution B has a mean of 10 and a standard deviation equal to 4.0. Based on this information, use the coefficient of variation to determine which distribution has greater
You are given the following parameters for two populations:Population 1 Population 2 m = 700 m = 29,000 s = 50 s = 5,000a. Compute the coefficient of variation for each population.b. Based on the answers to parta, which population has data values that are more variable relative to the size of the
Consider the following set of sample data:78 121 143 88 110 107 62 122 130 95 78 139 89 125a. Compute the mean and standard deviation for these sample data.b. Calculate the coefficient of variation for these sample data and interpret its meaning.c. Using Tchebysheff’s theorem, determine the range
The mean time that a certain model of light bulb will last is 400 hours, with a standard deviation equal to 50 hours.a. Calculate the standardized value for a light bulb that lasts 500 hours.b. Assuming that the distribution of hours that light bulbs last is bell-shaped, what percentage of bulbs
A population of unknown shape has a mean of 3,000 and a standard deviation of 200.a. Find the minimum proportion of observations in the population that are in the range 2,600 to 3,400.b. Determine the maximum proportion of the observations that are above 3,600.c. What statement could you make
Efficient Hiring, Inc., assists companies in hiring people to fill jobs. The file called Hired contains data on a sample of the placements made by the company.The two variables in the file are the number of days required to fill the position and the costs incurred(including advertising,
The placement center at a southern university tracks starting salaries. The data file called BI SALARIES lists the starting salaries for the 25 graduates in Information Technology who completed one or more internships prior to graduation.a. Calculate the mean, median, and standard deviation of the
Suppose there is an investigation to determine whether the increased availability of generic drugs, Internet drug purchases, and cost controls have reduced out-ofpocket drug expenses. As a part of the investigation, a random sample of 196 privately insured adults with incomes above 200% of the
The First City Real Estate Company managing partner asked the office administrator to provide a descriptive analysis of the asking prices of the homes the company currently has listed. This list includes 319 homes; the price data, along with other home characteristics, are included in the data file
The file MBA Analysis contains data on several variables for eight MBA graduates. The variables include pre– and post–MBA salary, percentage salary increase, undergraduate GPA, average GMAT score, annual tuition, and expected annual student cost.Compute the mean, median, range, variance, and
The manager of a cell phone store in the Valley Mall recently collected data on a sample of 50 customers who purchased a cell phone and a monthly call plan.The data she recorded are in the data file called Phone Survey.a. The manager is interested in describing the difference between male and
A bus company provides shuttle bus services for a university from 6 a.m. to 8 p.m. Each passenger pays$1 for a ride. The company decides to adjust the fee based on variations in the numbers of students. If the company found that the variation of the middle 50%for the number of students who took its
Employers typically provide Internet access to assist employees in work-related activities. An IT department officer is monitoring the Internet data usage in a company. She collects the daily amount of data usage(in GB) for a period of 20 days:45 48 47 46 39 41 35 33 48 44 38 42 44 50 44 40 36 45
Students in a communications class studied network television programming and found the average nonprogramming minutes in an hour of prime-time broadcasting for network television was 15:48 minutes.For cable television, the average was 14:55 minutes.a. Calculate the difference in the average
Alice is the jewelry designer for Diamond & Platinum and she is designing a new diamond collection. Before she starts her design, she is checking on the width of the diamond provided by the company. A sample of 25 diamonds was selected by her and the widths (in mm) for each diamonds were recorded
The Government of Malaysia has ended the petrol and diesel subsidies that were introduced in December 1, 2014. The government sets pump prices based on the average cost of refined oil (MOPS fuel) of the preceding month. David is studying the petrol price flows for RON95. He selects petrol prices
A college registrar has been asked to prepare a report about the graduate students. Among other things, she wants to analyze the ages of the students. She has taken a sample of ten graduate students and has found the following ages:32 22 24 27 27 33 28 23 24 21a. Compute the range, interquartile
Gold’s Gym selected a random sample of ten customers and monitored the number of times each customer used the workout facility in a one-month period. The following data were collected:10 19 17 19 12 20 20 15 16 13 Gold’s managers are considering a promotion in which they reward frequent users
A random sample of 20 pledges to a public radio fundraiser revealed the following dollar pledges:90 85 100 150 125 75 50 100 75 60 35 90 100 125 75 85 50 100 50 80a. Compute the range, variance, standard deviation, and interquartile range for these sample data.b. Briefly explain the difference
Easy Connect, Inc., provides access to computers for business uses. The manager monitors computer use to make sure that the number of computers is sufficient to meet the needs of the customers. The manager collected data on a sample of customers and tracked the times the customers started working
The following set of data are the ages of people who attended a five-day seminar:45 21 38 48 28 34 26 53 29 27a. Calculate the range and interquartile range for the data set. Assume the data set is a sample.b. Indicate whether the data set is from a population or a sample. Calculate the standard
Consider the following two separate samples:27 27 25 12 15 10 20 37 31 35 and 1 3 2 16 18 16 16 4 16 118a. Calculate the range, variance, standard deviation, and interquartile range for each data set.b. Which data set is more spread out based on these statistics?c. Now remove the largest number
The following data show the number of hours spent watching television for 12 randomly selected freshmen attending a liberal arts college in the Midwest:Hours of Television Viewed Weekly 7.5 11.5 14.4 7.8 13.0 10.3 5.4 12.0 12.2 8.9 8.5 6.6 Calculate the range, variance, standard deviation, and
The amount of sugar (in gram) contained in a milk-based drink selected from a production line is as follows:15.5 14.6 14.3 14.8 13.5 14.2 13.4 14.6 13.3 12.2 14.1 14.1 14.3 13.8 13.6 Determine the range, variance, and standard deviation for the sample selected.
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