Question 1A marketing organization wishes to study the effects of four sales methods on weekly sales of aproduct. The organization employs a randomized block design in which three salesman use eachsales method. The results obtained are given in Figure 12.8, along with the Excel output of a ran-domized block ANOVA of these data. Os SaleMetha Test the null hypothesis Ho that no differences exist between the effects of the sales methods(treatments) on mean weekly sales. Set a = .05. Can we conclude that the different salesmethods have different effects on mean weekly sales?b Test the null hypothesis Ho that no differences exist between the effects of the salesmen(blocks) on mean weekly sales. Set a = .05. Can we conclude that the different salesmenhave different effects on mean weekly sales?CUse Tukey simultaneous 95 percent confidence intervals to make pairwise comparisons of thesales method effects on mean weekly sales. Which sales method(s) maximize mean weeklysales?FIGURE 12.8 The Sales Method Data and the Excel Output of a Randomized Block ANOVA OS SaleMethANOVA: Two-Factor without ReplicationSalesman, jSales Method, iABSUMMARYCountSumAverage30.3333Variance2.3333132Method 1391232Method 2390304328Method 337625.33336.33331425Method 437224Salesman A411729.2511.5833Salesman B4108278.6667Salesman C41042612.6667ANOVASource of VariationP-valueF critMS31.1944Rows0.00034.7571Columns11.08330.00685.1433Error0.8611TotalSS93.583322.16675.1667120.916729302524638338с30282323df32611F36.225812.8710

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Answered: A marketing organization wishes to…

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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Six researchers at different universities agree to carry out exactly the same social psychology experiment involving three treatment conditions. When the studies are complete, they pool their data to study outcome variable Y, and they carry out a two-way ANOVA. Assuming that 10 subjects were randomly assigned to each of the treatments at each of the sites, what are the degrees of freedom associated with each of the variance components outlined in the ANOVA Table shown below? Two versions of the analysis are planned. In the first analysis, the researchers restrict their interest to the six specific sites included in the joint research. In the second analysis they consider the six universities to be a sample from the population of American universities. For each analysis, look up the critical F values for a =.05, and enter them into the table below. (The critical value is the number the F statistic must exceed to be considered statistically significant at the .05 level.) Also…
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Productivity is the key driver of wages and one of the most importantdeterminants of living standards. The British Chambers of Commercecommissioned research into understanding whether labour productivity in theautomotive manufacturing sector in England and Ireland were the same ordifferent. The researchers collected data on a random sample of 8 firms inEngland and 4 in Ireland and recorded productivity in units of value added (£)per hour. It is assumed that firm-level productivity has a normal distribution.The following data were collected:Ireland 47 56 43 68England 39 50 39 45 50 43 35 43(i) Set up appropriate null and alternative hypotheses and conduct a test ofthe hypotheses of equal mean productivity in Ireland and England at 5 percent significance level under the assumption of unknown but equalpopulation variances. Provide as much detail as possible on yourprocedures. Clearly show all your steps in testing and state your decision.Discuss the economic implications of your findings.…
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