Three sizes of Hondas are imported and sold in the Jamaica. The sizes are small, medium and large. A study was undertaken to find out whether the sales of each type of car is equally liked by the Jamaican consumers. Annual sales in hundreds of thousands for each type of car were randomly selected. The table below shows the data for the random sample of sales: Type of Car Small Medium Large 50. 45 60 65 35 42 Annual sales of cars 36 53 56 40 65 36 46 35 67 56 20 86 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. c. Confirm your answer using R-Studio. Provide the code used and relevant output tables. 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.)

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Three sizes of Hondas are imported and sold in the Jamaica. The sizes are small, medium and
large. A study was undertaken to find out whether the sales of each type of car is equally liked by
the Jamaican consumers. Annual sales in hundreds of thousands for each type of car were randomly
selected. The table below shows the data for the random sample of sales:
Type of Car
Small
Medium
Large
50.
45
60
65
35
42
Annual sales of cars
36
53
36
56
40
65
46
35
67
56
20
86
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.
c. Confirm your answer using R-Studio. Provide the code used and relevant output tables.
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.)
Transcribed Image Text:Three sizes of Hondas are imported and sold in the Jamaica. The sizes are small, medium and large. A study was undertaken to find out whether the sales of each type of car is equally liked by the Jamaican consumers. Annual sales in hundreds of thousands for each type of car were randomly selected. The table below shows the data for the random sample of sales: Type of Car Small Medium Large 50. 45 60 65 35 42 Annual sales of cars 36 53 36 56 40 65 46 35 67 56 20 86 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. c. Confirm your answer using R-Studio. Provide the code used and relevant output tables. 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.)
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