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Questions and Answers of
Statistics
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 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
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
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
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
The distributor of the Wapakoneta Daily News, a regional newspaper serving western Ohio, is considering three types of dispensing machines or “racks.†Management wants to know if the
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
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
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
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
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
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
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
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
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
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
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
Shank’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
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
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
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
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
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.
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
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
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
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
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
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
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.
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
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
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.
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
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
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
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
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
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
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
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
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
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 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
The following sample observations were randomly selected.a. Determine the regression equation.b. Determine the value of yˆ when x is7.
The following sample observations were randomly selected.a. Determine the regression equation.b. Determine the value of yˆ 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
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,
A recent article in Bloomberg Businessweek listed the “Best Small Companies.†We are interested in the current results of the companies’ sales and earnings. A random sample of 12
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:
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
Every April, The Masters—one of the most prestigious golf tournaments on the PGA golf tour—is played in Augusta, Georgia. In 2013, 60 players received prize money. The 2013 winner, Adam
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
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
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
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
The Cotton Mill is an upscale chain of women’s clothing stores, located primarily in the southwest United States. Due to recent success, The Cotton Mill’s top management is planning to
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
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
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
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
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
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