Find the value of the test statistic for class. (Round your answer to two decimal places.) Find the p-value for class. (Round your answer to three decimal places.) p-value = State your conclusion about class. O Because the p-value > a = 0.05, class is significant. O Because the p-value ≤ α = 0.05, class is not significant. O Because the p-value ≤ α = 0.05, class is significant. O Because the p-value > a = 0.05, class is not significant. Find the value of the test statistic for type. (Round your answer to two decimal places.) Find the p-value for type. (Round your answer to three decimal places.) p-value = State your conclusion about type. O Because the p-value > a = 0.05, type is significant. O Because the p-value ≤ α = 0.05, type is significant. O Because the p-value ≤ α = 0.05, type is not significant. O Because the p-value > a = 0.05, type is not significant. Find the value of the test statistic for interaction between class and type. (Round your answer to two decimal places.) Find the p-value for interaction between class and type. (Round your answer to three decimal places.) p-value =

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problems Until test statistic for type

**Analyzing Statistical Significance for Class and Type**

1. **Find the value of the test statistic for class.** 
   - (Round your answer to two decimal places.)
   - [Input box for the test statistic]

2. **Find the p-value for class.** 
   - (Round your answer to three decimal places.)
   - p-value = [Input box for p-value]

3. **State your conclusion about class.**
   - Options:
     - Because the p-value > α = 0.05, class is significant.
     - Because the p-value ≤ α = 0.05, class is not significant.
     - Because the p-value ≤ α = 0.05, class is significant.
     - Because the p-value > α = 0.05, class is not significant.

4. **Find the value of the test statistic for type.** 
   - (Round your answer to two decimal places.)
   - [Input box for the test statistic]

5. **Find the p-value for type.** 
   - (Round your answer to three decimal places.)
   - p-value = [Input box for p-value]

6. **State your conclusion about type.**
   - Options:
     - Because the p-value > α = 0.05, type is significant.
     - Because the p-value ≤ α = 0.05, type is significant.
     - Because the p-value ≤ α = 0.05, type is not significant.
     - Because the p-value > α = 0.05, type is not significant.

7. **Find the value of the test statistic for interaction between class and type.** 
   - (Round your answer to two decimal places.)
   - [Input box for the test statistic]

8. **Find the p-value for interaction between class and type.** 
   - (Round your answer to three decimal places.)
   - p-value = [Input box for p-value]
Transcribed Image Text:**Analyzing Statistical Significance for Class and Type** 1. **Find the value of the test statistic for class.** - (Round your answer to two decimal places.) - [Input box for the test statistic] 2. **Find the p-value for class.** - (Round your answer to three decimal places.) - p-value = [Input box for p-value] 3. **State your conclusion about class.** - Options: - Because the p-value > α = 0.05, class is significant. - Because the p-value ≤ α = 0.05, class is not significant. - Because the p-value ≤ α = 0.05, class is significant. - Because the p-value > α = 0.05, class is not significant. 4. **Find the value of the test statistic for type.** - (Round your answer to two decimal places.) - [Input box for the test statistic] 5. **Find the p-value for type.** - (Round your answer to three decimal places.) - p-value = [Input box for p-value] 6. **State your conclusion about type.** - Options: - Because the p-value > α = 0.05, type is significant. - Because the p-value ≤ α = 0.05, type is significant. - Because the p-value ≤ α = 0.05, type is not significant. - Because the p-value > α = 0.05, type is not significant. 7. **Find the value of the test statistic for interaction between class and type.** - (Round your answer to two decimal places.) - [Input box for the test statistic] 8. **Find the p-value for interaction between class and type.** - (Round your answer to three decimal places.) - p-value = [Input box for p-value]
As part of a study designed to compare hybrid and similarly equipped conventional vehicles, a group tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVs). The following data show the miles-per-gallon (MPG) rating obtained for two hybrid small cars, two hybrid midsize cars, two hybrid small SUVs, and two hybrid midsize SUVs. Additionally, MPG ratings for eight similarly equipped conventional models are provided.

### Data Table

| Class         | Type          | MPG |
|---------------|---------------|-----|
| Small Car     | Hybrid        | 37  |
| Small Car     | Conventional  | 28  |
| Small Car     | Hybrid        | 44  |
| Small Car     | Conventional  | 32  |
| Midsize Car   | Hybrid        | 27  |
| Midsize Car   | Conventional  | 23  |
| Midsize Car   | Hybrid        | 32  |
| Midsize Car   | Conventional  | 25  |
| Small SUV     | Hybrid        | 27  |
| Small SUV     | Conventional  | 21  |
| Small SUV     | Hybrid        | 28  |
| Small SUV     | Conventional  | 22  |
| Midsize SUV   | Hybrid        | 23  |
| Midsize SUV   | Conventional  | 19  |
| Midsize SUV   | Hybrid        | 24  |
| Midsize SUV   | Conventional  | 18  |

At the α = 0.05 level of significance, test for significant effects due to class, type, and interaction.
Transcribed Image Text:As part of a study designed to compare hybrid and similarly equipped conventional vehicles, a group tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVs). The following data show the miles-per-gallon (MPG) rating obtained for two hybrid small cars, two hybrid midsize cars, two hybrid small SUVs, and two hybrid midsize SUVs. Additionally, MPG ratings for eight similarly equipped conventional models are provided. ### Data Table | Class | Type | MPG | |---------------|---------------|-----| | Small Car | Hybrid | 37 | | Small Car | Conventional | 28 | | Small Car | Hybrid | 44 | | Small Car | Conventional | 32 | | Midsize Car | Hybrid | 27 | | Midsize Car | Conventional | 23 | | Midsize Car | Hybrid | 32 | | Midsize Car | Conventional | 25 | | Small SUV | Hybrid | 27 | | Small SUV | Conventional | 21 | | Small SUV | Hybrid | 28 | | Small SUV | Conventional | 22 | | Midsize SUV | Hybrid | 23 | | Midsize SUV | Conventional | 19 | | Midsize SUV | Hybrid | 24 | | Midsize SUV | Conventional | 18 | At the α = 0.05 level of significance, test for significant effects due to class, type, and interaction.
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