ANOVA PRACTICE PROBLEM: Team SalesAs an incentive to its sales force, Joe's Company offers a weeklybonus to the team that brings in the most orders; “most" is definedas statistically significantly more than other teams. The salesmanager received the following data for three groups:This Week's OrdersTeam 1Team 2Team 312196881510551615185Conduct a One-Way ANOVA, using an alpha level of .05 and commenton whether a weekly bonus should or should not be given.SSdfMSFTreatment(Between= B)Error (Within= W)Total ANOVA TABLE - ONE WAYSdfMSFMSg =SS / dfgMSw =SSw/ dfwSSBTreatmentdfg =ng - 1dfw =N - nGF =(Between= B)MS /MSwError (Within= W) SSwTotaldfTotal =SSTotal =SSg + SSwN - 1SdfMSFTreatment(Between= B)Error (Within= W)TotalSteps for Calculating a One-way ANOVAFind the mean for each group in the study1.2. Find the Grand Mean (the mean of the group means)Determine Degrees of Freedom (Between, Within, Total)3.4.Calculate the Sum of Squares Between Groups:Σn(Χ - Χ,):SSB =Sum of Squares Between GroupsTake the mean for the group and subtract the Grand Mean (the result is a mean deviation value for eachgroup). Keep in mind that you need to do this for each group/condition in the study.Square each Mean Deviation Value and then multiply it by the number of subjects/scores in the group (n)Once you have the Mean Deviation Value Squared for each group/condition, add them together.The resulting value is the Sum of Squares Between Groups5. Calculate the Sum of Squares Within Groups:SSw = E2 (X-X )?Sum of Squares Within GroupsTake the mean for each group/condition and subtract it from each individual score within the group to getthe deviation scoreKeep in mind that you will have a different mean value for each group/condition and so you shouldcompute the deviation scores separately for each group/condition in the designSquare the Deviation scores within each group/conditionOnce you have all the deviation scores squared from each group/condition, add them ALL together.The resulting value is the Sum of Squares Within Groups

Solve using One-way ANOVA method Observation A B C 1 12 19 6 2 8 6 8 3 15 10 5 4 5 16 15…

Answered: ANOVA PRACTICE PROBL EM: Team Sales As…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments. For one section of the statistics course, homework is assigned, collected and graded each week. For another section, the same problems are suggested each week, but the students are not required to turn in their homework. At the end of the semester, all students take the same final exam. The score distribution for the two sections are as follows: With Homework 12 15 17 5 10 No Homework 12 21 28 25 14 Do these data indicate a significant difference between the score distributions for students with homework versus students with no homework? Test at the 5% level of significance.
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 eleven metropolitan areas across the upper Midwest region (OhioGasPrices.com website, March 18, 2012). Click on the datafile logo to reference the data. DATA file Shell BP Metropolitan Area Marathon Akron, Ohio Cincinnati, Ohio Cleveland, Ohio Columbus, Ohio Ft. Wayne, Indiana Indianapolis, Indiana Lansing, Michigan Lexington, Kentucky Louisville, Kentucky Muncie, Indiana Toledo, Ohio 3.77 3.72 3.87 3.76 3.78 3.87 3.89 3.79 3.83 3.83 3.85 3.77 3.83 3.85 3.93 3.84 3.84 4.04 3.87 3.87 3.99 3.79 3.78 3.81 3.69 3.78 3.84 3.84 3.83 3.79 3.79 3.86 3.86 Use a = .05 to test for any significant difference in the mean price of gasoline for the three brands. Round SS to 6 decimals, MS to 6 decimals, F to 2…
The following statistics represent weekly salaries at a construction company. Mean $620 First quartile $485 Median $540 Third quartile $600 Mode $535 94th percentile $683 The most common salary is $ The salary that half the employees' salaries surpass is $ The percent of employees' salaries that surpassed $600 is The percent of employees' salaries that were less than $485 is %. The percent of employees' salaries that surpassed $683 is %. If the company has 100 employees, the total weekly salary of all employees is $ %.
A real estate agency, located in a metropolitan area in the northeastern U.S., kept data on the various types of properties purchased in the area. Historically, 15% of purchases were for condominiums, 30% were for townhouses, 40% for single family homes, 10% for commercial properties and 5% for land. With changing demographics, the agency wondered if the current distribution matches the historical distribution. Recent data showed the following: Type of Property Condos Townhouses Homes Commercial Land Frequency 89 121 78 25 12 Based on the historical distribution, we would expect how many homes to be purchased? Question content area bottom Part 1 A. 130 B. 121 C. 129.95 D. 122.54 E. 100
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A case-control study was conducted to examine the association between lung cancer and smoking in men. The case group contains 500 patients, who were diagnosed with lung cancer. Five hundred age-matched patients were recruited as controls. The study found that 50% of cases were regular smoking and the proportion is 20% among controls. a. Create a 2x2 table based on the given information
The following sales forecast was generated in Excel. What is line C? Sales Revenue $250,000 $200,000 $150,000 $100,000 $50,000 $0 1 wwwww 3 5 Multiple Choice 7 Sales Revenue пик -Forecast( Sales Revenue) Most likely predicted level of sales revenue 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 Highest predicted level of sales revenue Actual sales revenue Lowest predicted level of sales revenue A B C
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