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Statistical Techniques In Business And Economics 16th Edition Douglas Lind, William Marchal - Solutions

Refer to the Buena School District bus data.a. Develop a 95% confidence interval for the mean bus maintenance.b. Develop a 95% confidence interval for the mean bus miles.
Historically, Widgets Manufacturing Inc. produces 250 widgets per day. Recently the new owner bought a new machine to produce more widgets per day. A sample of 16 days’ production revealed a mean of 240 units with a standard deviation of 35. Construct a confidence interval for the mean number of
In a sample of 200 residents of Georgetown County, 120 reported they believed the county real estate taxes were too high. Develop a 95% confidence interval for the proportion of residents who believe the tax rate is too high. Does it seem reasonable to conclude that 50% of the voters believe that
Refer to the description of Century National Bank at the end of the Review of Chapters 1–4 on page 125. When Mr. Selig took over as president of Century several years ago, the use of debit cards was just beginning. He would like an update on the use of these cards. Develop a 95% confidence
The following hypotheses are given.H0: σ21 = σ22H1: σ21 ≠ σ22A random sample of eight observations from the first population resulted in a standard deviation of 10. A random sample of six observations from the second population resulted in a standard deviation of 7. At the .02 significance
The following hypotheses are given.H0: σ21 < σ22H1: σ21 > σ22A random sample of five observations from the first population resulted in a standard deviation of 12. A random sample of seven observations from the second population showed a standard deviation of 7. At the .01 significance
Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for men was 35 minutes per day. The standard deviation of the sample of the 10 men studied was 10
A stockbroker at Critical Securities reported that the mean rate of return on a sample of 10 oil stocks was 12.6% with a standard deviation of 3.9%. The mean rate of return on a sample of 8 utility stocks was 10.9% with a standard deviation of 3.5%. At the .05 significance level, can we
A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean. A sample of 21 oceanfront homes sold within the last year revealed the standard deviation of the selling prices was
A software design company is creating a new, faster search engine. The search engine is clearly faster, but initial tests indicate there is more variation in the time to perform a search. A sample of 16 different searches showed that the standard deviation of the search time was 22 hundredths of a
There are two Chevrolet dealers in Jamestown, New York. The mean monthly sales at Sharkey Chevy and Dave White Chevrolet are about the same. However, Tom Sharkey, the owner of Sharkey Chevy, believes his sales are more consistent. Below are the numbers of new cars sold at Sharkey in the last 7
The fuel efficiencies for a sample of 27 compact, midsize, and large cars are entered into a statistical software package. Analysis of variance is used to investigate if there is a difference in the mean mileage of the three cars. What do you conclude? Use the .01 significance level.Additional
Three assembly lines are used to produce a certain component for an airliner. To examine the production rate, a random sample of six hourly periods is chosen for each assembly line and the number of components produced during these periods for each line is recorded. The output from a statistical
The following are four observations collected from each of three treatments. Test the hypothesis that the treatment means are equal. Use the .05 significance level.a. State the null and the alternate hypotheses.b. What is the decision rule?c. Compute SST, SSE, and SS total.d. Complete an ANOVA
The following are six observations collected from treatment 1, four observations collected from treatment 2, and five observations collected from treatment 3. Test the hypothesis at the .05 significance level that the treatment means are equal.a. State the null and the alternate hypotheses.b. What
A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of particular importance is the income in the area surrounding the proposed mall. A random sample of four families is selected near each proposed
The manager of a computer software company wishes to study the number of hours senior executives by type of industry spend at their desktop computers. The manager selected a sample of five executives from each of three industries. At the .05 significance level, can she conclude there is a
The following are three observations collected from treatment 1, five observations collected from treatment 2, and four observations collected from treatment 3. Test the hypothesis that the treatment means are equal at the .05 significance level.a. State the null hypothesis and the alternate
The following are six observations collected from treatment 1, ten observations collected from treatment 2, and eight observations collected from treatment 3. Test the hypothesis that the treatment means are equal at the .05 significance level.a. State the null hypothesis and the alternate
A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary. The sample information is submitted to Minitab with the
A stock analyst wants to determine whether there is a difference in the mean rate of return for three types of stock: utility, retail, and banking stocks. The following output is obtained:a. Using the .05 level of significance, is there a difference in the mean rate of return among the three types
The following data are given for a two-factor ANOVA with two treatments and threeblocks.
The following data are given for a two-factor ANOVA with three treatments and threeblocks.
Chapin Manufacturing Company operates 24 hours a day, 5 days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output
There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed on Monday, Tuesday, Wednesday, Thursday, and Friday at each hospital last week. At the .05 significance level, can we conclude there is a difference in the mean number of
Consider the following sample data for a two-factor ANOVA analysis. There are two levels (heavy and light) of factor A (weight), and three levels (small, medium, and large) of factor B (size). For each combination of size and weight, there are three observations.Compute an ANOVA with statistical
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and three levels of Factor B. The number of replications per cell is 5. Complete the table and test to determine if there is a significant difference in Factor A means, Factor B means, or the
The distributor of the Wapakoneta Daily News, a regional newspaper serving western Ohio, is considering three types of dispensing machines or â€œracks.â€ Management wants to know if the different machines affect sales. These racks are designated as J-1000, D-320, and UV-57. Management also
A large company is organized into three functional areas: manufacturing, marketing, and research and development. The employees claim that the company pays women less than men for similar jobs. The company randomly selected four males and four females in each area and recorded their weekly salaries
Random samples of five were selected from each of three populations. The sum of squares total was 100. The sum of squares due to the treatments was 40.a. Set up the null hypothesis and the alternate hypothesis.b. What is the decision rule? Use the .05 significance level.c. Complete the ANOVA table,
In an ANOVA table, MSE was equal to 10. Random samples of six were selected from each of four populations, where the sum of squares total was 250.a. Set up the null hypothesis and the alternate hypothesis.b. What is the decision rule? Use the .05 significance level.c. Complete the ANOVA table, what
The following is a partial ANOVA table.Complete the table and answer the following questions. Use the .05 significance level.a. How many treatments are there?b. What is the total sample size?c. What is the critical value of F?d. Write out the null and alternate hypotheses.e. What is your conclusion
A consumer organization wants to know whether there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount stores, five variety stores, and five department stores. The results are shown below. Use the .05
Jacob Lee is a frequent traveler between Los Angeles and San Francisco. For the past month, he wrote down the flight times on three different airlines. The results are:a. Use the .05 significance level and the six-step hypothesis-testing process to check if there is a difference in the mean flight
The City of Maumee comprises four districts. Chief of Police Andy North wants to determine whether there is a difference in the mean number of crimes committed among the four districts. He examined the records from six randomly selected days and recorded the number of crimes. At the .05
A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys. At the .05 significance level, is there a difference in the mean attention span of the children for the various commercials? Are there
hen only two treatments are involved, ANOVA and the Student’s t test (Chapter) result in the same conclusions. Also, t2 = F. As an example, 14 randomly selected Introduction to History students were divided into two groups, one consisting of 6 students and the other of 8. One group took the
The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 18 of each type were mailed from the Network Distribution Center in Altanta, Georgia, to Des Moines, Iowa. The total delivery time in days was recorded. Minitab was
For your e-mail, you use a filter to block spam from your inbox. The number of items blocked by day of week is recorded and Minitab is used to perform the analysis that follows. Here are the results:Using the ANOVA results, compare the average number of items blocked for each day of theweek.
Shankâ€™s Inc., a nationwide advertising firm, wants to know whether the size of an advertisement and the color of the advertisement make a difference in the response of magazine readers. A random sample of readers is shown ads of four different colors and three different sizes. Each reader is
There are four McBurger restaurants in the Columbus, Georgia, area. The numbers of burgers sold at the respective restaurants for each of the last 6 weeks are shown below. At the .05 significance level, is there a difference in the mean number sold among the four restaurants when the factor of week
The city of Tucson, Arizona, employs people to assess the value of homes for the purpose of establishing real estate tax. The city manager sends each assessor to the same five homes and then compares the results. The information is given below, in thousands of dollars. Can we conclude that there is
Martin Motors has in stock three cars of the same make and model. The Sales Manager would like to compare the gas consumption of the three cars (labeled car A, car B, and car C) using four different types of gasoline. For each trial, a gallon of gasoline was added to an empty tank, and the car was
A research firm wants to compare the miles per gallon of unleaded regular, mid-grade, and super premium gasolines. Because of differences in the performance of different automobiles, seven different automobiles were selected and treated as blocks. Therefore, each brand of gasoline was tested with
Three supermarket chains in the Denver area each claims to have the lowest overall prices. As part of an investigative study on supermarket advertising, the Denver Daily News conducted a study. First, a random sample of nine grocery items was selected. Next, the price of each selected item was
Listed below are the weights (in grams) of a sample of M&€™s Plain candies, classified according to color. Use a statistical software system to determine whether there is a difference in the mean weights of candies of different colors. Use the .05 significancelevel.
There are four radio stations in Midland. The stations have different formats (hard rock, classical, country/western, and easy listening), but each is concerned with the number of minutes of music played per hour. From a sample of 10 randomly selected hours from each station, the sum of squared
The American Accounting Association recently conducted a study to compare the weekly wages of men and women employed in either the public or private sector of accounting. Random samples of five men and five women were selected in each group.a. Draw an interaction plot of men and women means by
Robert Altoff is vice president for engineering for a manufacturer of household washing machines. As part of new product development, he wishes to determine the optimal length of time for the washing cycle. A part of the development is to study the relationship between the detergent used (four
Refer to the Real Estate data, which report information on the homes sold in the Goodyear, Arizona, area last year.a. At the .02 significance level, is there a difference in the variability of the selling prices of the homes that have a pool versus those that do not have a pool?b. At the .02
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseball teams for the 2012 season.a. At the .10 significance level, is there a difference in the variation in team salary among the American and National League teams?b. Create a variable that classifies a team’s
Refer to the Buena School District bus data.a. Conduct a test of hypothesis to reveal whether the mean maintenance cost is equal for each of the bus manufacturers. Use the .01 significance level.b. Conduct a test of hypothesis to determine whether the mean miles traveled is equal for each bus
A machine is set to produce tennis balls so the mean bounce is 36 inches when the ball is dropped from a platform of a certain height. The production supervisor suspects that the mean bounce has changed and is less than 36 inches. As an experiment, a sample of 12 balls was dropped from the platform
It was hypothesized that road construction workers do not engage in productive work 20 minutes on the average out of every hour. Some claimed the nonproductive time is greater than 20 minutes. An actual study was conducted at a construction site, using a stopwatch and other ways of checking the
A test is to be conducted involving the mean holding power of two glues designed for plastic. First, a small plastic hook was coated at one end with Epox glue and fastened to a sheet of plastic. After it dried, weight was added to the hook until it separated from the sheet of plastic. The weight
Pittsburgh Paints wishes to test an additive formulated to increase the life of paints used in the hot and arid conditions of the Southwest. The top half of a piece of wood was painted using the regular paint. The bottom half was painted with the paint including the additive. The same procedure was
A Buffalo, New York, cola distributor is featuring a super-special sale on 12-packs. She wonders where in the grocery store to place the cola for maximum attention. Should it be near the front door of the grocery stores, in the cola section, at the checkout registers, or near the milk and other
Williams Corporation is investigating the effects of educational background on employee performance. A potential relevant variable in this case is the self-rated social status of the employee. The company has recorded the annual sales volumes (in $000) achieved by sales employees in each of the
A school supervisor is reviewing initial wages of former students (in $000). Samples were taken over 3 years for four different majors (accounting, administration, finance, and marketing). For each combination of major and year, three former students were sampled.a. Here is an interaction plot of
Refer to the description of Century National Bank at the end of the Review of Chapters 1–4 on page 128.With many other options available, customers no longer let their money sit in a checking account. For many years the mean checking balance has been $1,600. Do the sample data indicate that the
Ms. Gene Dempsey manages the emergency care center at Bell Grove Medical Center. One of her responsibilities is to have enough nurses so that incoming patients needing service can be handled promptly. It is stressful for patients to wait a long time for emergency care even when their care needs are
The following sample observations were randomly selected.Determine the correlation coefficient and interpret the relationship between x andy.
The following sample observations were randomlyselected.
Bi-lo Appliance Super-Store has outlets in several large metropolitan areas in New England. The general sales manager aired a commercial for a digital camera on selected local TV stations prior to a sale starting on Saturday and ending Sunday. She obtained the information for Saturdayâ€“Sunday
The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, two employees were assigned to assemble the subassemblies. They produced 15 during a one-hour period. Then
The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of
The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.a. Draw a scatter diagram.b. Determine the correlation coefficient.c. Interpret the
The Student Government Association at Middle Carolina University wanted to demonstrate the relationship between the number of beers a student drinks and his or her blood alcohol content (BAC). A random sample of 18 students participated in a study in which each participating student was randomly
The following sample observations were randomly selected.a. Determine the regression equation.b. Determine the value of yË† when x is7.
The following sample observations were randomly selected.a. Determine the regression equation.b. Determine the value of yË† when x is7.
Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following.a. Determine the regression equation.b. Determine the number of kilowatt-hours,
Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. The x column indicates the number of client
A recent article in Bloomberg Businessweek listed the â€œBest Small Companies.â€ We are interested in the current results of the companiesâ€™ sales and earnings. A random sample of 12 companies was selected and the sales and earnings, in millions of dollars, are reported below.Let
We are studying mutual bond funds for the purpose of investing in several funds. For this particular study, we want to focus on the assets of a fund and its five-year performance. The question is: Can the five-year rate of return be estimated based on the assets of the fund? Nine mutual funds were
Given the following sample of five observations, develop a scatter diagram, using x as the independent variable and y as the dependent variable, and compute the correlation coefficient. Does the relationship between the variables appear to be linear? Try squaring the x variable and then develop a
Every April, The Mastersâ€”one of the most prestigious golf tournaments on the PGA golf tourâ€”is played in Augusta, Georgia. In 2013, 60 players received prize money. The 2013 winner, Adam Scott of Australia, earned a prize of $1,440,000. Miguel Cabrera finished in second place, earning
An Environmental Protection Agency study of 12 automobiles revealed a correlation of 0.47 between engine size and emissions. At the .01 significance level, can we conclude that there is a positive association between these variables? What is the p-value? Interpret.
A suburban hotel derives its revenue from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant. Below is a sample of 25 days (Monday through Thursday) from last year
The table below shows the number of cars (in millions) sold in the United States for various years and the percent of those cars manufactured by GM.Use a statistical software package to answer the following questions.a. Is the number of cars sold directly or indirectly related to GMâ€™s
For each of the 32 National Football League teams, the numbers of points scored and allowed during the 2012 season are shown below.Assuming these are sample data, answer the following questions. You may use statistical software to assist you.a. What is the correlation coefficient between these
The Cotton Mill is an upscale chain of womenâ€™s clothing stores, located primarily in the southwest United States. Due to recent success, The Cotton Millâ€™s top management is planning to expand by locating new stores in other regions of the country. The director of planning has been
The manufacturer of Cardio Glide exercise equipment wants to study the relationship between the number of months since the glide was purchased and the time, in hours, the equipment was used last week.a. Plot the information on a scatter diagram. Let hours of exercise be the dependent variable.
City planners believe that larger cities are populated by older residents. To investigate the relationship, data on population and median age in 10 large cities were collected.a. Plot these data on a scatter diagram with median age as the dependent variable.b. Find the correlation coefficient.c. A
Emily Smith decides to buy a fuel-efficient used car. Here are several vehicles she is considering, with the estimated cost to purchase and the age of the vehicle.a. Plot these data on a scatter diagram with estimated cost as the dependent variable.b. Find the correlation coefficient.c. A
The National Highway Association is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. Of particular interest is whether the number of bidders increases or decreases the amount of the winning bid.a. Determine the regression
Mr. William Profit is studying companies going public for the first time. He is particularly interested in the relationship between the size of the offering and the price per share. A sample of 15 companies that recently went public revealed the following information.a. Determine the regression
Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship between the distance a shipment must travel and the length of time, in days, it takes the shipment to arrive at its
Super Markets Inc. is considering expanding into the Scottsdale, Arizona, area. You, as director of planning, must present an analysis of the proposed expansion to the operating committee of the board of directors. As a part of your proposal, you need to include information on the amount people in
Below is information on the price per share and the dividend for a sample of 30 companies.a. Calculate the regression equation using selling price based on the annual dividend.b. Test the significance of the slope.c. Determine the coefficient of determination. Interpret its value.d. Determine the
The following table shows the mean annual percent return on capital (profitability) and the mean annual percentage sales growth for eight aerospace and defense companies.a. Compute the correlation coefficient. Conduct a test of hypothesis to determine if it isÂ reasonable to conclude that the
The following data show the retail price for 12 randomly selected laptop computers along with their corresponding processor speeds in gigahertz.a. Develop a linear equation that can be used to describe how the price depends on the processor speed.b. Based on your regression equation, is there one
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results.a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship?b. Conduct a test of hypothesis to
A dog trainer is exploring the relationship between the size of the dog (weight in pounds) and its daily food consumption (measured in standard cups). Below is the result of a sample of 18 observations.a. Compute the correlation coefficient. Is it reasonable to conclude that the correlation in the
Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of
An air travel service samples domestic airline flights to explore the relationship between airfare and distance. The service would like to know if there is a correlation between airfare and flight distance. If there is a correlation, what percentage of the variation in airfare is accounted for by
Refer to the Real Estate data, which reports information on homes sold in Goodyear, Arizona, last year.a. Let selling price be the dependent variable and size of the home the independent variable. Determine the regression equation. Estimate the selling price for a home with an area of 2,200 square
Refer to the Baseball 2012 data, which reports information on the 2012 Major League Baseball season. Let attendance be the dependent variable and total team salary, in millions of dollars, be the independent variable. Determine the regression equation and answer the following questions.a. Draw a
Refer to the Buena School bus data. Develop a regression equation that expresses the relationship between age of the bus and maintenance. The age of the bus is the independent variable.a. Draw a scatter diagram. What does this diagram suggest as to the relationship between the two variables? Is it
The following hypotheses are given.H0: ρ ≤ 0H1: ρ > 0A random sample of 12 paired observations indicated a correlation of .32. Can we conclude that the correlation in the population is greater than zero? Use the .05 significance level.
Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 20 stations last Tuesday, the correlation was .78. At the .01 significance level, is the correlation in the population greater than zero?

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