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Statistics For Business & Economics 12th Edition David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey Camm, James Cochran - Solutions
The following observations are for two quantitative variables, x and y.a. Develop a cross tabulation for the data, with x as the row variable and y as the column variable. For x use classes of 10-29, 30-49, and so on; for y use classes of 40-59, 60-79, and so on. b. Compute the row percentages. c.
The following cross tabulation summarizes the data for two categorical variables, x and y. The variable x can take on values low, medium, or high and the variable y can take on values yes or no.a. Compute the row percentages. b. Construct a stacked percent frequency bar chart with x on the
The Current Results website lists the average annual high and low temperatures (degrees Fahrenheit) and average annual snowfall (inches) for fifty-one major U.S. cities, based on data from 1981 to 2010. The data are contained in the file Snow. For example, the average low temperature for Columbus,
Smart-phones are advanced mobile phones with Internet, photo, and music and video capability (The Pew Research Center, Internet & American Life Project, 2011). The following survey results show smart-phone ownership by age.a. Construct a stacked bar chart to display the above survey data on type of
Data showing the population by state in millions of people follow (The World Almanac, 2012).a. Develop a frequency distribution, a percent frequency distribution, and a histogram. Use a class width of 2.5 million. b. Does there appear to be any skewness in the distribution? Explain. c. What
Nielsen Media Research provided the list of the 25 top-rated single shows in television history (The World Almanac, 2012). The following data show the television network that produced each of these 25 top-rated shows.a. Construct a frequency distribution, percent frequency distribution, and bar
The Big Bang Theory, a situation comedy featuring Johnny Galecki, Jim Parsons, and Kaley Cuoco, is one of the most watched programs on network television. The first two episodes for the 2011-2012 season premiered on September 22, 2011; the first episode attracted 14.1 million viewers and the second
The data contained in the file named StateUnemp show the unemployment rate in March 2011 and the unemployment rate in March 2012 for every state and the District of Columbia (Bureau of Labor Statistics website, April 20, 2012). To compare unemployment rates in March 2011 with unemployment rates in
Suppose that at the beginning of 2004 you invested $10,000 in the Stivers mutual fund and $5,000 in the Trippi mutual fund. The value of each investment at the end of each subsequent year is provided in the table below. Which mutual fund performed better?
The current value of a company is $25 million. If the value of the company six year ago was $10 million, what is the company's mean annual growth rate over the past six years?
The Australian Open is the first of the four Grand Slam professional tennis events held each year. Victoria Azarenka beat Maria Sharapova to win the 2012 Australian Open women's title (Washington Post, January 27, 2012). During the tournament Ms. Azarenka's serve speed reached 178 kilometers per
Consider the following data.What is the mean growth rate over these five periods?
The Dow Jones Industrial Average (DJIA) and the Standard & Poor's 500 Index (S&P 500) are both used to measure the performance of the stock market. The DJIA is based on the price of stocks for 30 large companies; the S&P 500 is based on the price of stocks for 500 companies. If both the DJIA and
The average number of times Americans dine out in a week fell from 4.0 in 2008 to 3.8 in 2012 (Zagat.com, April 1, 2012). The number of times a sample of 20 families dined out last week provides the following data.a. Compute the mean and median. b. Compute the first and third quartiles. c. Compute
The National Association of Realtors reported the median home price in the United States and the increase in median home price over a five-year period (The Wall Street Journal, January 16, 2006). Use the sample home prices ($1000s) shown here to answer the following questions.1. What is the sample
The National Association of Realtors reported the median home price in the United States and the increase in median home price over a five-year period (The Wall Street Journal, January 16, 2006). Use the sample home prices ($1000s) shown here to answer the following questions.a. What is the sample
The Powerball lottery is played twice each week in 28 states, the Virgin Islands, and the District of Columbia. To play Powerball a participant must purchase a ticket and then select five numbers from the digits 1 through 55 and a Powerball number from the digits 1 through 42. To determine the
Suppose that we have a sample space with five equally likely experimental outcomes: E1, E2, E3, E4, E5. Let A = {E1, E2} B = {E3, E4} C = {E2, E3, E5} a. Find P(A), P(B), and P(C). b. Find P(A ( B). Are A and B mutually exclusive? c. Find Ac, Cc, P(Ac), and P(Cc). d. Find A ( Bc and P(A ( Bc). e.
Students in grades 3 through 8 in New York State are required to take a state mathematics exam. To meet the state's proficiency standards, a student must demonstrate an understanding of the mathematics expected at his or her grade level. The following data show the number of students tested in the
The prior probabilities for events A1 and A2 are P(A1) = .40 and P(A2) = .60. It is also known that P(A1 ( A2) = 0. Suppose P(B | A1) = .20 and P(B | A2) = .05.a. Are A1 and A2 mutually exclusive? Explain.b. Compute P(A1 ( B) and P(A2 ( B).c. Compute P(B).d. Apply Bayes' theorem to compute P(A1 |
Two Wharton professors analyzed 1,613,234 putts by golfers on the Professional Golfers Association (PGA) Tour and found that 983,764 of the putts were made and 629,470 of the putts were missed. Further analysis showed that for putts that were made, 64.0% of the time the player was attempting to
According to the Open Doors 2011 Report, 9.5% of all full-time U.S. undergraduate students studied abroad during the 2009-2010 academic year (Institute of International Education, November 14, 2011). Assume that participation records show women make up 60% of the students who studied abroad during
Given below is a bivariate distribution for the random variables x and y.a. Compute the expected value and the variance for x and y.b. Develop a probability distribution for x + y.c. Using the result of part (b), compute E(x + y) and Var (x + y).d. Compute the covariance and correlation for x and
A person is interested in constructing a portfolio. Two stocks are being considered. Let x = percent return for an investment in stock 1, and y percent return for an investment in stock 2. The expected return and variance for stock 1 are E(x) = 8.45% and Var(x) 25. The expected return and
The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A
PortaCom has developed a design for a high-quality portable printer. The two key components of manufacturing cost are direct labor and parts. During a testing period, the company has developed prototypes and conducted extensive product tests with the new printer. PortaCom's engineers have developed
J.P. Morgan Asset Management publishes information about financial investments. Over the past 10 years, the expected return for the S&P 500 was 5.04% with a standard deviation of 19.45% and the expected return over that same period for a core bonds fund was 5.78% with a standard deviation of
In addition to the information in exercise 29 on the S&P 500 and core bonds, J.P. Morgan Asset Management reported that the expected return for real estate investment trusts (REITs) was 13.07% with a standard deviation of 23.17% (J.P. Morgan Asset Management, Guide to the Markets, 1st Quarter,
Consider a binomial experiment with two trials and p = .4.a. Draw a tree diagram for this experiment.TREE DIAGRAM FOR THE MARTIN CLOTHING STORE PROBLEMb. Compute the probability of one success, f (1).c. Compute f (0).d. Compute f (2).e. Compute the probability of at least one success.f. Compute the
In a survey conducted by the Gallup Organization, respondents were asked, "What is your favorite sport to watch?" Football and basketball ranked number one and two in terms of preference (Gallup website, January 3, 2004). Assume that in a group of 10 individuals, seven prefer football and three
A bookstore at the Hartsfield-Jackson Airport in Atlanta sells reading materials (paperback books, newspapers, magazines) as well as snacks (peanuts, pretzels, candy, etc.). A point-of-sale terminal collects a variety of information about customer purchases. Shown below is a table showing the
The Knowles/Armitage (KA) group at Merrill Lynch advises clients on how to create a diversified investment portfolio. One of the investment alternatives they make available to clients is the All World Fund composed of global stocks with good dividend yields. One of their clients is interested in a
A deck of playing cards contains 52 cards, four of which are aces. What is the probability that the deal of a five-card hand providesa. A pair of aces?b. Exactly one ace?c. No aces?d. At least one ace?
Given that z is a standard normal random variable, compute the following probabilities? a. P(- 1.98 ≤ z ≤ .49) b. P(.52 ≤ z ≤ 1.22) c. P(- 1.75 ≤ z ≤ 1.04)
Given that z is a standard normal random variable, find z for each situation? a. The area to the left of z is .2119. b. The area between - z and z is .9030. c. The area between - z and z is .2052. d. The area to the left of z is .9948. e. The area to the right of z is .6915.
The average return for large-cap domestic stock funds over the three years 2009 - 2011 was 14.4% (AAII Journal, February, 2012). Assume the three-year returns were normally distributed across funds with a standard deviation of 4.4%? a. What is the probability an individual large-cap domestic stock
A population proportion is .40. A sample of size 200 will be taken and the sample proportion will be used to estimate the population proportion.a. What is the probability that the sample proportion will be within ±.03 of the population proportion?b. What is the probability that the sample
Duke Energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month (Home Energy Report, Duke Energy, March 2012). A researcher believes that the cost of electricity for a comparable neighborhood in Chicago, Illinois, is
Consider the following hypothesis test. H0: μ1 - μ2 = 0 Ha:μ1 - μ ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35............n2 = 40 x1 = 13.6........x2 = 10.1 s1 = 5.2............s2 = 8.5 a. What is the value of the test
Consider the following hypothesis test.H0: μd ¤ 0Ha: μd > 0The following data are from matched samples taken from two populations.a. Compute the difference value for each element. b. Compute d. c. Compute the standard deviation sd. d. Conduct a hypothesis
Consider the following hypothesis test. H0: μ1 - μ2 ≤ 0 Ha: μ1 - μ2 > 0 The following results are for two independent samples taken from the two populations Sample 1 Sample 2 n1 = 40..............n2 = 50 x1 = 25.2.........x2 = 22.8 σ1 = 5.2............σ2 = 6.0 a. What is the value of the
Consider the following results for independent samples taken from two populations Sample 1 Sample 2 n1 = 400...........n2 = 300 p1 = 0.48.........p2 = 0.36 a. What is the point estimate of the difference between the two population proportions? b. Develop a 90% confidence interval for the difference
Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In
Find the following chi-square distribution values from Table 11.1 or Table 3 of Appendix B. a. X2.05 with df = 5 b. X2.25 with df = 15 c. X2.975 with df = 20 d. X2.01 with df = 10 e. X2.95 with df = 18
Consumer Reports uses a 100-point customer satisfaction score to rate the nation's major chain stores. Assume that from past experience with the satisfaction rating score, a population standard deviation of σ = 12 is expected. In 2012, Costco with its 432 warehouses in 40 states was the only
Consider the following hypothesis test.H0: σ21 = σ22Ha: σ21 ≠ σ22a. What is your conclusion if n1 = 21, s21 = 8.2, n2 = 26, and s22 = 4.0? Use α = .05 and the p-value approach.b. Repeat the test using the critical value approach.
Data were collected on the top 1000 financial advisers by Barron's (Barron's, February 9, 2009). Merrill Lynch had 239 people on the list and Morgan Stanley had 121 people on the list. A sample of 16 of the Merrill Lynch advisers and 10 of the Morgan Stanley advisers showed that the advisers
The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. Conduct a statistical test to determine whether there is a significant difference
Many smartphones, especially those of the LTE-enabled persuasion, have earned a bad rap for exceptionally poor battery life. Battery life between charges for the Motorola Droid Razr Max averages 20 hours when the primary use is talk time and 7 hours when the primary use is Internet applications
John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach in college basketball with an annual salary of $5.4 million (USA Today, March 29, 2012). The sample below shows the head basketball coach's salary for a sample of 10
Americans spend nearly $7 billion on Halloween costumes and decorations (The Wall Street Journal, October 27, 2011). Sample data showing the amount, in dollars, 16 adults spent on a Halloween costume are as follows.a. What is the estimate of the population mean amount adults spend on a Halloween
Use the sample data below to test the hypothesesH0: p1 = p2 = p3Ha: Not all population proportions are equalWhere pi is the population proportion of Yes responses for population i. Using a .05 level of significance, what is the p-value and what is your conclusion?
A Bloomberg Business week subscriber study asked, "In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?" A second question asked if the type of airline ticket purchased most often was for domestic or international travel. Sample data obtained
Mars, Inc. manufactures M&M's, one of the most popular candy treats in the world. The milk chocolate candies come in a variety of colors including blue, brown, green, orange, red, and yellow (M&M website, March 2012). The overall proportions for the colors are .24 blue, .13 brown, .20 green, .16
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week (Time, March 12, 2012). Assume that a sample of 420 accidents provided the following data.a. Conduct a hypothesis test to determine if the proportion of traffic accidents
Samples taken in three cities, Anchorage, Atlanta, and Minneapolis, were used to learnabout the proportion of married couples where both husband and wife are in the workforce (USA Today, January 15, 2006).a. Conduct a hypothesis test to determine if the population proportion of married couples with
Bara Research Group conducted a survey about church attendance. The survey respondents were asked about their church attendance and asked to indicate their age. Use the sample data to determine whether church attendance is independent of age. Using a .05 level of significance, what is the p-value
An ambulance service responds to emergency calls for two counties in Virginia. One county is an urban county and the other is a rural county. A sample of 471 ambulance calls over the past two years showed the county and the day of the week for each emergency call. Data are as follows.Test for
Based on sales over a six-month period, the five top-selling compact cars are Chevy Cruze, Ford Focus, Hyundai Elantra, Honda Civic, and Toyota Corolla (Motor Trend, November 2, 2011). Based on total sales, the market shares for these five compact cars were Chevy Cruze 24%, Ford Focus 21%, Hyundai
Benson Manufacturing is considering ordering electronic components from three different suppliers. The suppliers may differ in terms of quality in that the proportion or percentage of defective components may differ among the suppliers. To evaluate the proportion of defective components for the
The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values).a. Use α = .05 to test for significant differences in perception among the three groups.b. At
The price drivers pay for gasoline often varies a great deal across regions throughout the United States. The following data show the price per gallon for regular gasoline for a random sample of gasoline service stations for three major brands of gasoline (Shell, BP, and Marathon) located in 11
The compact car market in the United States is extremely competitive. Sales for six of the top models for six months in 2011 follow (Motor Trend, November 2, 2011)?At the .05 level of significance, test for any significant difference in the mean number of cars sold per month for the six models?
Major League Baseball franchises rely on attendance for a large share of their total revenue, and weekend games are particularly important. The following table shows the attendance for the Houston Astros for games played during seven weekend series for the first three months (April, May, and June)
PC World rated four component characteristics for 10 ultraportable laptop computers: features, performance, design, and price. Each characteristic was rated using a 0-100 point scale. An overall rating, referred to as the PCW World Rating, was then developed for each laptop. The following table
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website, March 5, 2012). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100
The following data give the percentage of women working in five companies in the retailand trade industry. The percentage of management jobs held by women in each company is also shown.a. Develop a scatter diagram for these data with the percentage of women working in the company as the independent
Charity Navigator is America's leading independent charity evaluator. The following datashow the total expenses ($), the percentage of the total budget spent on administrative expenses, the percentage spent on fundraising, and the percentage spent on program expenses for 10 supersized charities
Many countries, especially those in Europe, have significant gold holdings. But, many of these countries also have massive debts. The following data show the total value of gold holdings in billions of U.S. dollars and the debt as a percentage of the gross domestic product for nine countries (Word
Using a global-positioning-system (GPS)-based navigator for your car, you enter a destination and the system will plot a route, give spoken turn-by-turn directions, and show your progress along the route. Today, even budget units include features previously available only on more expensive models.
The Tire Rack maintains an independent consumer survey to help drivers help each other by sharing their long-term tire experiences. The data contained in the file named TireRatings show survey results for 68 all-season tires (Tire Rack website, March 21, 2012). Performance traits are rated using
Refer to exercise 12.a. Develop an estimated regression equation that can be used to predict the total earnings for all events given the average number of putts taken on greens hit in regulation.b. Develop an estimated regression equation that can be used to predict the total earnings for all
The U.S. Census Bureau tracks the median price for new home sales by month of year. The median prices for April for the years 1990 to 2011 follow (U.S. Census Bureau website, April 16, 2012).a. Construct a time series plot. Comment on any pattern you observe. Discuss some of the factors that may
Consider the following time series data.a. Construct a time series plot. What type of pattern exists in the data?b. Develop the linear trend equation for this time series.c. What is the forecast for t = 6?
Refer to the time series in exercise 17. Use Holt's linear exponential smoothing method with α = .3 and β = .5 to develop a forecast for t = 6.In Exercise 17
Consider the following time series.a. Construct a time series plot. What type of pattern exists in the data?b. Develop the linear trend equation for this time series.c. What is the forecast for t = 8?
Consider the following time series.a. Construct a time series plot. What type of pattern exists in the data? b. Using Minitab or Excel, develop the quadratic trend equation for the time series. c. What is the forecast for t = 8?
The general fund budget for the state of Kentucky for 1988 (Period 1) to 2011 (Period 24) follows (Northern Kentucky Enquirer, January 18, 2012).a. Construct a time series plot. What type of pattern exists in the data?b. Develop a linear trend equation for this time series.c. What is the forecast
Consider the following time series.a. Construct a time series plot. What type of pattern exists in the data? b. Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data: Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0
Consider the following time series data.a. Construct a time series plot. What type of pattern exists in the data? b. Use the following dummy variables to develop an estimated regression equation to account for any seasonal and linear trend effects in the data: Qtr1 = 1 if Quarter 1, 0 otherwise;
Refer to the Costello Music Company problem in exercise 49.a. Using time series decomposition, compute the seasonal indexes for the four quarters.b. When does Costello Music experience the largest seasonal effect? Does this result appear reasonable? Explain.In Exercise 49
Refer to the Costello Music Company time series in exercise 49.a. Depersonalize the data and use the depersonalized time series to identify the trend.b. Use the results of part (a) to develop a quarterly forecast for next year based on trend.c. Use the seasonal indexes developed in exercise 50 to
Refer to the Hudson Marine problem in exercise 53.a. Compute the centered moving average values for this time series.b. Construct a time series plot that also shows the centered moving average and original time series on the same graph. Discuss the differences between the original time series plot
An insurance company samples claim forms for errors created by its employees as well as the amount of time it takes to process a claim. a. When the process is in control, the proportion of claims with an error is .033. A p chart has LCL = 0 and UCL = .068. Plot the following seven sample results:
Registered nurses in 2007 made an average hourly wage of $30.04. In 2011, their hourly wage had risen to $33.23. Given that the CPI for 2007 was 207.3 and the 2011 CPI was 224.9, answer the following. a. Give the real wages for registered nurses for 2007 and 2011 by deflating the hourly wage
The average hourly wage rate for construction laborers in 2001 was $13.36. In 2011 construction laborers made $16.43 per hour. The CPI for 2001 was 177.1 and for 2011, 224.9. Calculate the percentage increase or decrease in real hourly wages from 2001 to 2011.
Shipments of product from manufacturer to the retailer are tracked by the U.S. Census Bureau. The value of shipments for computer and electronic products in September 2009, 2010, and 2011 are shown in the table below, along with the CPI and PPI for each of these months.a. Use the CPI to deflate the
Athletic wear company Nike Inc.'s revenues for the years 2007-2011 are shown in the table below (Nike Inc. Annual Reports). Deflate the revenue dollars based on the CPI (1982-1984 based). Comment on the company's revenues in terms of deflated dollars.
Many factors influence the retail price of computers. The table below shows the average retail price for a computer, including both desktops and laptops, during the month of November for each of the indicated years (Wall Street Journal, December 13, 2010). Year Average Price
Suppose on average a male shaver in 2001 bought one razor handle and used 17 razor blades in a year and that the price relatives for 2001 to 2011 are as appears in the following table on next page. Develop a Male Shaver Expense Index based on weighted price relatives for 2011.
Seafood price and quantity data are reported by the U.S. Census Bureau. Data for the years 2000 and 2009 follow.a. Compute a price relative for each type of seafood. b. Compute a weighted aggregate price index for the U.S. domestic seafood catch. Comment on the change in seafood prices over the
Actuaries are analysts who specialize in the mathematics of risk. Actuaries often work for insurance companies and are responsible for setting premiums for insurance policies. Below are the median salaries for actuaries for the years 2008-2011. The CPI for each of the years is also given (U.S.
The closing price of Apple stock, adjusted for splits and dividends, for the first trading day of December 2007-2011 are given below. The CPI for December of each year is also given (Yahoo Finance and the U.S. Census Bureau). Deflate the stock price series and comment on the financial performance
Simple random sampling was used to obtain a sample of n = 50 elements from a population of N = 800. The sample mean was = 215, and the sample standard deviation was found to be s = 20.a. Estimate the population mean.b. Estimate the standard error of the mean.c. Develop an approximate 95%
A population was divided into three strata with N1 = 300, with N2 = 600, and with N3 = 500. From a past survey, the following estimates for the standard deviations in the three strata are available: s1 = 150, s2 = 75, s3 = 100. a. Suppose an estimate of the population mean with a bound on the error
A drug store chain has stores in four cities: 38 stores in Indianapolis, 45 in Louisville, 80 in St. Louis, and 70 in Memphis. Pharmacy sales in the four cities vary considerably because of the competition. The following sales data (in thousands of dollars) are available from a sample survey. Each
Reconsider the sample survey results in exercise 11.a. Estimate the population total pharmacy sales for St. Louis.b. Estimate the population total pharmacy sales for Indianapolis.c. Develop an approximate 95% confidence interval for mean pharmacy sales for the drug store chain.d. Develop an
An accounting firm works for a number of clients in the banking, insurance, and brokerage industries: N1 = 50 banks, N2 = 38 insurance companies, and N3 = 35 brokerage firms. A marketing research firm has been hired to survey the accounting firm's clients in these three industries. The survey will
A sample of four clusters is to be taken from a population with N = 25 clusters and M = 300 elements. The values of Mi, xi, and ai for each cluster in the sample follow.a. Develop point estimates of the population mean, total, and proportion.b. Estimate the standard error for the estimates in part
A sample of six clusters is to be taken from a population with N = 30 clusters and M = 600 elements. The following table shows values of Mi, xi, and ai for each cluster in the sample.a. Develop point estimates of the population mean, total, and proportion.b. Develop an approximate 95% confidence
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