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A company is trying to determine if the colour of the box has any effect on sales. Three different coloured boxes are sent to their distributors and a check is made at the end of the week on the number of sales in each store. Red 43 52 59 Yellow 52 37 38 Blue 61 29 38

A company is trying to determine if the colour of the box has any effect on sales. Three different coloured boxes are sent to their distributors and a check is made at the end of the week on the number of sales in each store. Red 43 52 59 Yellow 52 37 38 Blue 61 29 38

MATLAB: An Introduction with Applications
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 company is trying to determine if the colour of the box has any effect on sales. Three different coloured boxes are sent to their distributors and a check is made at the end of the week on the number of sales in each store. Red 43 52 59 76 61 81 (a) Prepare the analysis of variance table manually (Show ALL workings). (b) State the null hypothesis(es), the decision rule for a = 0.05 and make the decision for each hypothesis. A B Yellow 52 37 38 64 74 (c) Confirm your answer using R-Studio. Provide the code used and relevant output tables. C D (d) Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.) The company expanded their analysis to compare the effect on the sale of three box colours in four different countries. The results are displayed below: Box Colour Yellow Country Red 47 56 Country A B C D Blue 61 29 38 53 79 49 41 52 54 63 44 The results for a second store in each company is added to the study. The results are displayed below: Box Colour Red Yellow 45 49 43 38 50 51 60 49 Blue 60 52 55 48 Blue 54 58 50 44 Combine the data from the two sets of trials and (e) Prepare the analysis of variance table manually (Show ALL workings). (f) State the null hypothesis(es) in words, the decision rule for a = 0.05 and make the decision for each hypothesis. (g) Confirm your answer using R-Studio. Provide the code used and relevant output tables. 3 (h) Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.)
Transcribed Image Text:A company is trying to determine if the colour of the box has any effect on sales. Three different coloured boxes are sent to their distributors and a check is made at the end of the week on the number of sales in each store. Red 43 52 59 76 61 81 (a) Prepare the analysis of variance table manually (Show ALL workings). (b) State the null hypothesis(es), the decision rule for a = 0.05 and make the decision for each hypothesis. A B Yellow 52 37 38 64 74 (c) Confirm your answer using R-Studio. Provide the code used and relevant output tables. C D (d) Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.) The company expanded their analysis to compare the effect on the sale of three box colours in four different countries. The results are displayed below: Box Colour Yellow Country Red 47 56 Country A B C D Blue 61 29 38 53 79 49 41 52 54 63 44 The results for a second store in each company is added to the study. The results are displayed below: Box Colour Red Yellow 45 49 43 38 50 51 60 49 Blue 60 52 55 48 Blue 54 58 50 44 Combine the data from the two sets of trials and (e) Prepare the analysis of variance table manually (Show ALL workings). (f) State the null hypothesis(es) in words, the decision rule for a = 0.05 and make the decision for each hypothesis. (g) Confirm your answer using R-Studio. Provide the code used and relevant output tables. 3 (h) Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.)
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