Please answer all questions! A company is trying to determine if the colour of the box has any effect on sales. Threedifferent coloured boxes are sent to their distributors and a check is made at the end of theweek on the number of sales in each store.Red435259766181(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 decisionfor each hypothesis.ABYellow5237386474(c) Confirm your answer using R-Studio. Provide the code used and relevant outputtables.CD(d) Using R-Studio, carry out relevant tests to determine if the assumptions of normalityand homogeneity of variance were violated. Carefully discuss your findings quotingrelevant statistics in your response and provide the necessary hypotheses. (Providethe code used and relevant output tables.)The company expanded their analysis to compare the effect on the sale of three box coloursin four different countries. The results are displayed below:Box ColourYellowCountry Red4756CountryABCDBlue6129385379494152546344The results for a second store in each company is added to the study. The results aredisplayed below:Box ColourRed Yellow4549433850516049Blue60525548Blue54585044Combine 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 thedecision for each hypothesis.(g) Confirm your answer using R-Studio. Provide the code used and relevant outputtables.3(h) Using R-Studio, carry out relevant tests to determine if the assumptions of normalityand homogeneity of variance were violated. Carefully discuss your findings quotingrelevant statistics in your response and provide the necessary hypotheses. (Providethe code used and relevant output tables.)

Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Please answer all questions!

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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