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mathematics
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Elementary Statistics A Step By Step Approach 10th Edition Allan G. Bluman - Solutions
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
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,
For the following situation, indicate whether the statistical application is primarily descriptive or inferential.“The manager of Anna’s Fabric Shop has collected data for 10 years on the quantity of each type of dress fabric that has been sold at the store. She is interested in making a
Locate one of the online job websites and pick several job listings. For each job type, discuss one or more situations in which statistical analyses would be used. Base your answer on research (Internet, business periodicals, personal interviews, etc.). Indicate whether the situations you are
If a pet store wishes to determine the level of customer satisfaction with its services, would it be appropriate to conduct an experiment? Explain.
According to a December 2004 report in AgResearch Magazine titled “Putting out the fire” issued by the U.S. Department of Agriculture (USDA), the agency estimates that about 40% of all people who live in urban areas infested with imported fire ants are stung by the ants each year. What data
As part of a consulting project for a local ABC television affiliate, a survey was conducted with 744 respondents. Of those responding, 32% indicated that they prefer to watch local news on this station. How might this survey have been conducted, and what type of bias could occur if that data
If the manager at First City Bank surveys a sample of 100 customers to determine how many miles they live from the bank, is the mean travel distance for this sample a parameter or a statistic? Explain.
During the 2016 presidential campaign, an NBC News/Wall Street Journal poll conducted between December, 16, 2015, and January 13, 2016, showed that Marco Rubio would beat Hillary Clinton in the general election 47% to 44.5% (www.realclearpolitics .com). Are these values statistics or parameters?
To evaluate the quality of its airline service, airline managers want to randomly sample passengers traveling between two large airports. On a particular day, all 578 passengers flying between the two airports were given an identification number between 001 and 578. Use Excel to generate a list of
Consumer Reports, in its rating of cars, indicates repair history with circles. The circles are either white, black, or half and half. To which level of data does this correspond? Discuss.
With what level of data is a bar chart most appropriately used?
With what level of data is a histogram most appropriately used?
You want to sample 40 NBA players. Your friend who is a big NBA fan has offered to give you a list of his 40 favorite players.a. Discuss why your friend’s list is not a random sample and is biased.b. Develop a sampling plan for selecting a simple random sample of 40 NBA players.
The 21st annual J.D. Power and Associates’ customer satisfaction survey, the Automotive Performance, Execution and Layout (APEAL) StudySM, measures owners’ satisfaction with the design, content, layout, and performance of their new vehicles. A file titled APEAL contains the satisfaction ratings
A marketing research firm was hired to conduct a study aimed at determining the number of alcoholic drinks individuals consumed during a week’s time in the Seattle, Washington, area. The firm sampled 100 adults and asked each to record the number of alcoholic drinks consumed during the third week
Boston Properties is a real estate investment trust (REIT) that owns first class office properties in selected markets. According to its website (www .bostonproperties.com), the 2014 occupancy rates for Boston Properties holdings in four major cities were:Region
National Football League (NFL) football continues to be arguably the most popular professional sport in the United States. The following data reflect the 2015 attendance at the eight regular-season home games for five NFL teams:Produce a bar chart for these data. Team Home Games Attendance St.
The following data show the July 2011–June 2012 U.S. sales of antidepressant drugs by major brand:Antidepressant Drug .....................................Sales (in Billions)Cymbalta .......................................................................... 4.094Lexapro
The 2014 Annual Report for Murphy Oil Corporation (see www.murphyoilcorp.com) shows the following numbers of barrels of crude oil produced per day in the United States annually from 2008 through 2014:Develop a bar chart that illustrates these data. Add appropriate labels. 2008 2009 2014 2011 2013
The 2014 Annual Report of the Procter & Gamble Company (see www.pginvestor.com) reported the following percentages for its five global business segments:Global Segment ................................................ Percent of Total SalesBeauty
The following data represent the seat capacity for major airlines on an annual basis:a. Construct a bar graph representing the seat capacity of the major airlines for the five airlines indicated.b. Produce a pie chart exhibiting the percentage of the total seat capacity for the five major airlines.
A survey conducted at a state university that asked students what brand of digital music device they owned yielded the following data:a. Generate a bar chart to display these data.b. Generate a pie chart to display these data.c. Which of the two displays more effectively presents the data? Explain
The year-end net income (in millions) for a company for the years 2004 2015 are shown below:Develop a chart that effectively displays the income data over time. 2006 2004 25.9 2010 64 2007 31.7 31.7 2013 2014 2015 2008 34.5 Year 2005 2009 36.8 Net Income 31.5 2012 Year 2011 101.3 Net Income 118.6
Amazon.com celebrated its 20th anniversary in July 2014. Its growth can be seen by examining its increasing sales volume (in $billions):2008 ................................. 19.172009 ................................. 24.512010 ................................... 34.22011
The following data show worldwide computer/video game sales:Year Sales ....................(billions)2000 ................................. $48.22001 ................................. $45.42002 ................................. $48.32003 ................................. $41.92004
The recent performance of U.S. equity markets has increased the popularity of dividend-paying stocks for some investors. Shown below are the diluted net earnings per common share and the dividends per common share for the Procter & Gamble Company (P&G) for the years 1996€“2015:a.
On July 31, 2015, usatoday.com reported on big oil profits. The file BIGOIL contains the quarterly combined net incomes of the oil companies that are part of the S&P 500 Index for 2006 through the first half of 2015. The article discussed that after years of record profits, the oil companies
Wilson Green started a lawn service business in 1997 with 15 customers. By 2015 his customer list had grown to 6,530 customers across three cities. The file WilsonGreen contains data showing the number of customers for each year between 1997 and 2015. Develop a line chart that shows the customer
The data in the file called Gasoline Prices reflect the average price of regular unleaded gasoline in the state of California for 36 consecutive years. The first price column is the actual average price of gasoline during each of those years. Construct an appropriate chart showing the actual
The G.H. Hillman Company sells designer clothes under various brand names. The data file called Hillman contains the unit sales (in thousands) for their swimsuit line in both the east and west regions for the years 2005 through 2015.a. Plot the sales data for the two regions on the same line
A current emphasis in U.S. education is on the STEM disciplines (science, technology, engineering, and mathematics). The following data represent the percentages by gender of bachelor and doctorate degrees in physics:a. Use one graph that contains two bar charts, each of which represents the kind
The file titled Diesel$ contains the average on-highway diesel prices for the last Friday of the month in the years 2013–2015. Develop a line chart that shows the trend in diesel prices, and write a short statement that describes the price trend.
The file titled Diesel$ contains the average nationwide diesel price on the last Friday of the month for the years 2013–2015.a. Construct a histogram with 11 classes.b. What are the possible reasons why one of the classes has a frequency count of zero?
The following data reflect the tips received by a random sample of 20 restaurant servers in Denver, Colorado, during a 4-hour breakfast shift:a. Compute the mean tips received by the servers in the sample.b. Compute the median tips received.c. Determine the mode tips received.d. Write a short
The La Costa Corporation operates five manufacturing plants in South America. The company tracks the medical costs that are directly attributed to accidents that occur at the plants each year. The following data show the medical costs (in U.S. dollars) at each plant for the most recent year along
According to the website www.fdic.gov, the Federal Deposit Insurance Corporation (FDIC) insures deposits in banks and thrift institutions for up to $250,000. In 2015, the FDIC insured 5,410 commercial banks with $14,727 billion in assets and 860 savings institutions with $1,074 billion in assets.a.
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
The College Board website (www.collegeboard.org) reported that the average cost of textbooks and supplies for students attending four-year public colleges and universities in the 2015€“16 academic year is $1,298. Suppose a sample of 15 students was selected and the following data reflect
The Bureau of Labor Statistics website (www.bls.gov) provides data on month-to-month changes in the U.S. export index for agricultural commodities during 2015. These data are reproduced here:Month ................................................ Change in IndexJan
What is a frequency distribution of qualitative data and why is it useful?
Explain the meaning ofa. Distribution of a data set.b. Sample data.c. Population data.d. Census data.e. Sample distribution.f. Population distribution.g. Distribution of a variable.
A certain state’s license plate has 3 letters followed by 4 numbers. Repeats are not allowed for the letters, but they are for the numbers. How many such license plates are possible? If they are issued at random, what is the probability that the 3 letters are 3 consecutive letters in alphabetical
There are 6 Republican, 5 Democrat, and 4 Independent candidates. How many different ways can a committee of 3 Republicans, 2 Democrats, and 1 Independent be selected?
In a meeting room in a dormitory there are 8 bags of potato chips, 5 bags of popcorn, 2 bags of pretzels, and 1 bag of cheese puffs. If a student selects 1 bag at random, find the probability that it is a bag of potato chips or a bag of pretzels.
A flight from Pittsburgh to Charlotte has a 90% on-time record. From Charlotte to Jacksonville, North Carolina, the flight is on time 80% of the time. The return flight from Jacksonville to Charlotte is on time 50% of the time and from Charlotte to Pittsburgh, 90% of the time. Consider a round trip
How many different ways can 6 identical hardback books, 3 identical paperback books, and 3 identical boxed books be arranged on a shelf in a bookstore?
Find the probability of selecting 3 science books and 4 math books from 8 science books and 9 math books. The books are selected at random.
If three dice are rolled, find the probability of getting a sum of 6.
Find the probability that if 5 different-sized washers are arranged in a row, they will be arranged in order of size.
All holly plants are dioecious—a male plant must be planted within 30 to 40 feet of the female plants in order to yield berries. A home improvement store has 12 unmarked holly plants for sale, 8 of which are female. If a homeowner buys 3 plants at random, what is the probability that berries will
An eight-sided die is rolled. Find the probability of each.a. Getting a 6b. Getting a number larger than 5c. Getting an odd number
The top five motor vehicle producers in the world are listed below with the number of vehicles produced in 2010 (in thousands of vehicles).China..........................................16,144Japan...........................................9,197United
In a local fitness club, 32% of the members lifted weights to exercise, 41% preferred aerobics, and 6% preferred both. If a member is selected at random, find the probability that the member prefers another method (neither weights nor aerobics) to exercise.
The probability that a new automobile has a backup camera is 0.6. The probability that a new automobile has a GPS system is 0.4. The probability that a new automobile has both a backup camera and a GPS is 0.2. If a new automobile is selected at random, find the probability that it has neither a
In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast. If a person is selected at random, find the probability that the person preferred juice as her or his primary drink.
The probability that a homeowner owns a lawnmower is 0.7. The probability that a homeowner owns a weed wacker is 0.5. The probability that a home owner owns both a lawnmower and a weed wacker is 0.3. If a homeowner is selected at random, find the probability that he or she owns either a lawnmower
The probability that a gambler plays table games is 0.32. The probability that a person plays the slot machines is 0.85. The probability that a person plays both is 0.15. A gambler can play more than one type of game. Find the probability that a gambler plays table games given that this person
Two T-shirt printing factories produce T-shirts for a local sports team. Factory A produces 60% of the shirts and factory B produces 40%. Five percent of the shirts from factory A are defective, and 6% of the shirts from factory B are defective. Choose 1 shirt at random. Given that the shirt is
The probability that Sue will live on campus and buy a new car is 0.37. If the probability that she will live on campus is 0.73, find the probability that she will buy a new car, given that she lives on campus.
Of the members of the Blue River Health Club, 43% have a lifetime membership and exercise regularly (three or more times a week). If 75% of the club members exercise regularly, find the probability that a randomly selected member is a life member, given that he or she exercises regularly.
The probability that it snows and the bus arrives late is 0.023. José hears the weather forecast, and there is a 40% chance of snow tomorrow. Find the probability that the bus will be late, given that it snows.
Approximately 11% of the civilian population are veterans. Choose 5 civilians at random. What is the probability that none are veterans? What is the probability that at least 1 is a veteran?
If 98% of households have at least one television set and 4 households are selected, find the probability that at least one household has a television set.
The U.S. Department of Health and Human Services reports that 15% of Americans have chronic sinusitis. If 5 people are selected at random, find the probability that at least 1 has chronic sinusitis.
If a motorcycle license plate consists of two letters followed by three digits, how many different license plates can be made if repetitions are allowed? How many different license plates can be made if repetitions are not allowed? How many license plates can be made if repetitions are allowed in
White copy paper is offered in 5 different strengths and 11 different degrees of brightness, recycled or not, and acid-free or not. How many different types of paper are available for order?
How many ways can 3 outfielders and 4 infielders be chosen from 5 outfielders and 7 infielders?
The following items are allowed as airline carry-on items: (1) safety razors, (2) eyedrops and saline, (3) nail clippers and tweezers, (4) blunttipped scissors, (5) mobile phones, (6) umbrellas, (7) common lighters, (8) beverages purchased after security screening, and (9) musical instruments.
The top 10 names for boys in America in 2005 were Ethan, Jacob, Ryan, Matthew, Tyler, Jack, Joshua, Andrew, Noah, and Michael. The top 10 names for 2015 are Liam, Noah, Ethan, Mason, Lucas, Logan, Oliver, Jackson, Aiden, and Jacob. In how many ways can you choose 5 names from these lists?
A promotional MP3 player is available with the capacity to store 100 songs, which can be reordered at the push of a button. How many different arrangements of these songs are possible?
A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense accounts. If a person selects 1 of each option, how many different options does she or he have?
There are 12 students who wish to enroll in a particular course. There are only 4 seats left in the classroom. How many different ways can 4 students be selected to attend the class?
If a student can select one of 3 language courses, one of 5 mathematics courses, and one of 4 history courses, how many different schedules can be made?
In a catalog, movies are identified by an ID number—2 letters followed by 3 digits. Repetitions are permitted. How many catalog numbers can be made? What is the probability that the ID number is divisible by 5? (Include the 2 letters in the ID number.)
Yahtzee is a game played with 5 dice. Players attempt to score points by rolling various combinations. When all 5 dice show the same number, it is called a Yahtzee and scores 50 points for the first one and 100 points for each subsequent Yahtzee in the same game. What is the probability that a
If a person can select one movie for each week night except Saturday, how many different ways can the selection be made if the person can select from 16 movies?
From which word can you make more permutations, MATHEMATICS or PROBABILITY? How many more?
A candy store allows customers to select 3 different candies to be packaged and mailed. If there are 13 varieties available, how many possible selections can be made?
A home improvement store has the following house numbers: 335666 left after a sale. How many different six-digit house numbers can be made from those numbers?
Only 27% of U.S. adults get enough leisure time exercise to achieve cardiovascular fitness. Choose 3 adults at random. Find the probability thata. All 3 get enough daily exerciseb. At least 1 of the 3 gets enough exercise
The following foreign adoptions (in the United States) occurred during these particular years.Choose one adoption at random from this chart.a. What is the probability that it was from Ethiopia given that it was from 2013?b. What is the probability that it was from the Ukraine and in 2014?c. What is
In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.70 and of selecting a one-car garage is 0.20. Find the probability that the buyer will select no garage. The builder does not build houses with three-car or more garages.
In a federal prison, inmates can select to complete high school, take college courses, or do neither. The following survey results were obtained using ages of the inmates.If a prisoner is selected at random, find these probabilities:a. The prisoner does not take classes.b. The prisoner is under 30
A pizza restaurant sold 24 cheese pizzas and 16 pizzas with one or more toppings. Twelve of the cheese pizzas were eaten at work, and 10 of the pizzas with one or more toppings were eaten at work. If a pizza was selected at random, find the probability of each:a. It was a cheese pizza eaten at
About.com’s list of 20 World Class Orchestras includes the following from the United States: Boston Symphony Orchestra, Chicago Symphony Orchestra, Cleveland Orchestra, Los Angeles Philharmonic, New York Philharmonic, the Metropolitan Opera Orchestra, and the San Francisco Symphony. Choose 5 at
At a meeting of 10 executives (7 women and 3 men), two door prizes are awarded. Find the probability that both prizes are won by men.
Six men and seven women apply for two identical jobs. If the jobs are filled at random, find the following:a. The probability that both are filled by men.b. The probability that both are filled by women.c. The probability that one man and one woman are hired.d. The probability that the one man and
A university received 9 applications for three postdoctorate fellowships. Five of the applicants are men and four are women. Find these probabilities.a. All 3 who are selected are men.b. All 3 who are selected are women.c. Two men and one woman are selected.d. Two women and one man are selected.
Cards numbered 1–10 are shuffled and dealt face down. What is the probability that they are in order?
Find the probability of getting 2 face cards (king, queen, or jack) when 2 cards are drawn from a deck without replacement.
A game of concentration (memory) is played with a standard 52-card deck. How many potential two-card matches are there (e.g., one jack “matches” any other jack)?
How many different combinations can be made from (x + 2) things taken x at a time?
In how many ways can 3 people be seated in a circle? 4? n?
How many different ways can you select one or more coins if you have 2 nickels, 1 dime, and 1 half-dollar?
The presidents, vice presidents, and secretary-treasurers from each of four classes are eligible for an all-school council. How many ways can four officers be chosen from these representatives? How many ways can they be chosen if the president must be selected from the sitting presidents, the vice
In a board of directors composed of 8 people, how many ways can one chief executive officer, one director, and one treasurer be selected?
The Environmental Protection Agency must investigate 9 mills for complaints of air pollution. How many different ways can a representative select 5 of these to investigate this week?
How many ways can a dinner patron select 3 appetizers and 2 vegetables if there are 6 appetizers and 5 vegetables on the menu?
How many different signals can be made by using at least 3 different flags if there are 5 different flags from which to select?
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