Prepare the analysis of variance table manually (please include all workings that I may follow).  2. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for  each hypothesis. 2b. To confirm the answer, please provide the Rstudio code that would be used to test the answer.

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Hello, new to statistics, please assist with the following using the image attached. 

Combine the data from the two and
1. Prepare the analysis of variance table manually (please include all workings that I may follow). 
2. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for 
each hypothesis.
2b. To confirm the answer, please provide the Rstudio code that would be used to test the answer.

Three sizes of Hondas are imported and sold in Jamaica: small, medium, and large. A study was conducted to determine if the sales of each type of car are equally favored by Jamaican consumers. The table below presents the data for the random sample of sales, with annual sales represented in hundreds of thousands:

| Type of Car | Annual sales of cars                       |
|-------------|--------------------------------------------|
| Small       | 50, 65, 56, 36, 46, 56                     |
| Medium      | 45, 35, 40, 53, 35, 20                     |
| Large       | 60, 42, 65, 36, 67, 86                     |

To investigate further, research expanded to evaluate whether the type of Honda or the color affects sales. The following data table displays the annual sales in hundreds of thousands:

|             | Red | Blue | Green | Yellow | Black |
|-------------|-----|------|-------|--------|-------|
| Small       | 54  | 49   | 96    | 51     | 76    |
| Medium      | 44  | 50   | 50    | 55     | 80    |
| Large       | 35  | 64   | 89    | 48     | 61    |

The study was replicated for Toyota motor vehicles, and the results are shown below:

|             | Red | Blue | Green | Yellow | Black |
|-------------|-----|------|-------|--------|-------|
| Small       | 40  | 64   | 49    | 45     | 68    |
| Medium      | 45  | 55   | 45    | 50     | 84    |
| Large       | 50  | 49   | 64    | 64     | 26    |

This data explores consumer preferences based on car type and color among different motor vehicle brands.
Transcribed Image Text:Three sizes of Hondas are imported and sold in Jamaica: small, medium, and large. A study was conducted to determine if the sales of each type of car are equally favored by Jamaican consumers. The table below presents the data for the random sample of sales, with annual sales represented in hundreds of thousands: | Type of Car | Annual sales of cars | |-------------|--------------------------------------------| | Small | 50, 65, 56, 36, 46, 56 | | Medium | 45, 35, 40, 53, 35, 20 | | Large | 60, 42, 65, 36, 67, 86 | To investigate further, research expanded to evaluate whether the type of Honda or the color affects sales. The following data table displays the annual sales in hundreds of thousands: | | Red | Blue | Green | Yellow | Black | |-------------|-----|------|-------|--------|-------| | Small | 54 | 49 | 96 | 51 | 76 | | Medium | 44 | 50 | 50 | 55 | 80 | | Large | 35 | 64 | 89 | 48 | 61 | The study was replicated for Toyota motor vehicles, and the results are shown below: | | Red | Blue | Green | Yellow | Black | |-------------|-----|------|-------|--------|-------| | Small | 40 | 64 | 49 | 45 | 68 | | Medium | 45 | 55 | 45 | 50 | 84 | | Large | 50 | 49 | 64 | 64 | 26 | This data explores consumer preferences based on car type and color among different motor vehicle brands.
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