Three sizes of cars are imported and sold in the Caribbean. 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
Caribbean consumers. Annual sales in hundreds of thousands for each
type of car were randomly selected from six Caribbean countries.
The table below shows the data for the random sample of
sales:
Type of Car
Annual sales of cars
Group Mean
Small 500.0 650.0 566.3 365.5 1054.6 563.3 616.6 Medium 452.3 356.6
400.0 536.6 350.0 201.1 382.8 Large 600.0 402.3 650.0 365.8 675.5
1098.6 632.0
Source of Variation
Sums of Squares
df Mean Squares F
Factors or Treatment
234100.2 *** *** ***
Error *** *** *** Total 917127.9
***
a. Based on the data from the table above, which type of car is the
favorite choice for the average Caribbean? Justify your answer. b.
Define the null and alternative hypothesis for the ANOVA model. c.
What are the assumptions for the ANOVA model? d. Calculate the
missing values for the ANOVA table above. e. What is your
conclusion for the ANOVA results?
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