Which Delivery Method Is Best? At a community college, the mathematics department has been experimenting with four different delivery mechanisms for content in their Intermediate Algebra courses. One method is the traditional lecture (method I), the second is a hybrid format in which half the class time is online and the other half is face-to-face (method II), the third is online (method III), and the fourth is an emporium model from which students obtain their lectures and do their work in a lab with an instructor available for assistance (method IV). To assess the effectiveness of the four methods, students in each approach are given a final exam with the results shown next. Do the data suggest that any method has a different
- (a) What is the response variable in this study? Is it quantitative or qualitative?
- (b) What is the factor in this study? How many levels does it have?
- (c) Write the null and alternative hypotheses.
- (d) State the requirements that must be satisfied to use the one-way ANOVA procedure.
- (e) Assuming the requirements stated in part (d) are satisfied, use the following StatCrunch output to test the hypothesis of equal means at the α = 0.05 level of significance.
Analysis of Variance results:
Data stores in separate columns.
Column statistics
ANOVA table
- (f) Shown in the next column are side-by-side boxplots drawn in StatCrunch of each delivery method. Do these support the results obtained in part (e)?
- (g) Interpret the P-value.
- (h) Verify the residuals are
normally distributed.
Learn your wayIncludes step-by-step video
Chapter B.6 Solutions
Fundamentals of Statistics (5th Edition)
Additional Math Textbook Solutions
Introductory Statistics
Elementary Statistics: Picturing the World (6th Edition)
Statistics for Business and Economics (13th Edition)
Statistics for Psychology
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
- Eaton's Chocolates produces semisweet chocolate chips and milk chocolate chips at its plants in Bay City and Estancia. The Bay City plant produces 3,000 pounds of semisweet chips and 2,000 pounds of milk chocolate chips each day at a cost of $1,000, while the Estancia plant produces 1,000 pounds of semisweet chips and 6,000 pounds of milk chocolate chips each day at a cost of $1,500. Eaton's has an order from SafeNShop Supermarkets for at least 30,000 pounds of semisweet chips and 60,000 pounds of milk chocolate chips. How should it schedule its production so it can fill the order at minimum cost? Bay City days Estanciaarrow_forwardAvery is the owner of Game Planet which produces two types of gaming consoles - Model X and Model Y. Model X gaming consoles require 1 hour of wiring, 0.5 hours of testing, and 0.5 hours of packaging. Model Y gaming consoles require 2 hours of wiring, 1 hour of testing, and 0.75 hours of packaging. In the next production period, there are 500 hours of wiring available, 400 hours of testing available, and 150 hours of packaging available. The forecasted demand for Model X gaming consoles is 325 and the forecasted demand for Model Y gaming consoles is 440. The Model X gaming consoles result in a profit of $75 and the Model Y gaming consoles result in a profit of $125. If Avery were to state the objective function algebraically, the objective function would include which of the following? OA. Minimize Profit OB. Minimize Cost C. Maximize Profit D. Maximize Costarrow_forwardSouthwest Hospital has an operating room used only for eye surgery. The annual cost of rent, heat, and electricity for the operating room and its equipment is $360,000, and the annual salaries of the people who staff this room total $540,000. Each surgery performed requires the use of $760 worth of medical supplies and drugs. To promote good will, every patient receives a bouquet of flowers the day after surgery. In addition, one-quarter of the patients require dark glasses, which the hospital provides free of charge. It costs the hospital $30 for each bouquet of flowers and $40 for each pair of glasses. The hospital receives a payment of $2000 for each eye operation performed. 1. Identify the revenue per case and the annual fixed and variable costs for running the operating room. 2. How many eye operations must the hospital perform each year in order to break even? 3. Southwest Hospital currently averages about 70 eye operations per month. One of the nurses has just learned about a…arrow_forward
- Anela is a computer scientist who is formulating a large and complicated program for a type of data processing. She has three ways of storing and retrieving data: cloud storage, disk, or hard drive. As an experiment, she sets up her program in three different ways: one using cloud storage, one using disks, and the other using a hard drive. Then she makes four test runs of this type of data processing on each program. The time required to execute each program is shown in the following table (in minutes). Use a 0.01 level of significance to test the hypothesis that the mean processing time is the same for each method. Hard Drive Cloud Disks 8.4 6.8 7.2 9.3 9.6 6.8 8.1 7.0 9.6 8.3 7.9 8.6 (ii) Find the sample test statistic. (Round your F Ratio to two decimal places. Round all other answers to four decimal places.) (vi) In the case of one-way ANOVA, make a summary table. (Round your answers to three decimal places.)arrow_forwardAnela is a computer scientist who is formulating a large and complicated program for a type of data processing. She has three ways of storing and retrieving data: cloud storage, disk, or hard drive. As an experiment, she sets up her program in three different ways: one using cloud storage, one using disks, and the other using a hard drive. Then she makes four test runs of this type of data processing on each program. The time required to execute each program is shown in the following table (in minutes). Use a 0.01 level of significance to test the hypothesis that the mean processing time is the same for each method. Hard Drive Cloud Disks 8.8 7.5 7.1 8.8 9.2 6.6 8.0 7.2 10.2 7.6 7.9 8.0 (i) Give the value of the level of significance. (ii) Find the sample test statistic. (Round your F Ratio to two decimal places. Round all other answers to four decimal places.) (vi) In the case of one-way ANOVA, make a summary table. (Round your answers to three decimal places.)…arrow_forwardAnela is a computer scientist who is formulating a large and complicated program for a type of data processing. Anela has three ways of storing and retrieving data: cloud storage, disk, or hard drive. As an experiment, Anela sets up her program in three different ways: one using cloud storage, one using disks, and the other using a hard drive. Then Anela makes four test runs of this type of data processing on each program. The time required to execute each program is shown in the following table (in minutes). Use a 0.01 level of significance to test the hypothesis that the mean processing time is the same for each method. Hard Drive Cloud Disks 8.7 7.2 7.0 9.3 9.1 6.4 7.9 7.5 9.8 8.0 7.7 8.2arrow_forward
- Expedition Outfitters manufactures a variety of specialty clothing for hiking, skiing,and mountain climbing. Its management decided to begin production on two newparkas designed for use in extremely cold weather: the Mount Everest Parka and theRocky Mountain Parka. The manufacturing plant has 9600 minutes of cutting timeand 9600 minutes of sewing time available for producing these two parkas. Each MountEverest Parka requires 30 minutes of cutting time and 45 minutes of sewing time, andeach Rocky Mountain Parka requires 20 minutes of cutting time and 15 minutes ofsewing time. The labor and material cost is $150 for each Mount Everest Parka and$50 for each Rocky Mountain Parka, and the retail prices through the firm’s mail ordercatalog are $250 for the Mount Everest Parka and $200 for the Rocky Mountain Parka.(a) Formulate a linear optimization model that can be used to determine how manyunits of each model should it manufacture to maximize the total profit contribution.(b) What are the…arrow_forwardSchneider Logistics Company has built a new warehouse in Columbus, Ohio, to facilitate the consolidation of freight shipments to customers in the region. George Schneider must determine how many teams of dock workers he should hire to handle the cross-docking operations and the other warehouse activities. Each team costs $5,000 a week in wages and overhead. Extra capacity can be subcontracted at a cost of $8,000 a team per week. Each team, whether in-house or subcontracted, can satisfy 200 labor hours of work a week. The labor hour requirements for the new facility are uncertain. Management has estimated the following probabilities for the requirements: How many teams should Schneider hire?arrow_forwardAbante Communications manufactures portable radio systems that can be used for two-way communications. The company’s new product, which has a range of up to 25 miles, is particularly suitable for use in a variety of business and personal applications. The distribution channels for the new radio are: Marine Equipment Distributors, Business Equipment Distributors, National chain of retail stores, and Direct mail. Because of the differing distribution and promotional costs, the profitability of the product will vary with the distribution channel. In addition, the advertising cost and personal sales effort required will vary with the distribution channels. Marine Equipment Distributors, Business Equipment Distributors, National chain of retail stores, and Direct mail respectively provides P90, P84, P70, and P60 profit per unit sold. However, each distribution channel spends P10, P8, P9, and P15 of advertising cost per unit respectively. Lastly, personal sales effort per unit sold (hours)…arrow_forward
- Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice result in more infected ticks. The mouse population in turn rises and falls with the abundance of acorns their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched. The next spring, 54 of the 77 mice trapped in the first area were in breeding condition versus 9 of the 15 mice trapped in the second area. Give a 99% confidence interval for the difference between the proportion of mice ready to breed in good acorn years and bad acorn years. Follow the Toolbox. Lower bound:___________________ Upper bound:___________________arrow_forwardTopOil, a refiner in Indiana, serves three customers near Nashville, Tennessee and maintains consignment inventory (owned by TopOil) at each location. Currently, TopOil uses TL transportation to deliver separately to each customer. Each truck costs $800 plus $250 per stop. Thus delivering to each customer separately costs $1050 per truck. TopOil is considering aggregating deliveries to Nashville on a single truck. Demand at the large customer is 60 tons per year, demand at the medium customer is 24 tons per year, and demand at the small customer is 8 tons per year. Product cost for TopOil is $10,000 per ton and they are using a holding cost of 25 percent. Truck capacity is 12 tons. What is the optimal order quantity to each customer assuming TopOil ships separately to each customer?arrow_forwardLyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice result in more infected ticks. The mouse population in turn rises and falls with the abundance of acorns, their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched. The next spring, 54 of the 72 mice trapped in the first area were in breeding condition, versus 10 of the 17 mice trapped in the second area. Estimate the difference between the proportions of mice ready to breed in good acorn years and bad acorn years. Let p1 and p2 be (respectively) the proportions of mice ready to breed in good acorn years and bad acorn years. Find the LOWER LIMIT(Lower value) of a 90% confidence interval for p1-p2 .arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman