MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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As part of a study designed to compare hybrid and similarly equipped conventional vehicles, a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVs) were tested. The data showing the miles-per-gallon rating study obtained for two hybrid small cars, two hybrid midsize cars, two hybrid small SUVs, two hybrid midsize SUVs, and eight similarly equipped conventional models are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.

### ANOVA: Two-Factor With Replication Analysis

#### Vehicle Efficiency Data

Below is a sample dataset comprising different vehicle makes/models, classified by their class and type, along with their respective miles per gallon (MPG):

| Make/Model          | Class      | Type         | MPG |
|---------------------|------------|--------------|-----|
| Honda Civic         | Small Car  | Hybrid       | 38  |
| Honda Civic         | Small Car  | Conventional | 28  |
| Toyota Prius        | Small Car  | Hybrid       | 44  |
| Toyota Corolla      | Small Car  | Conventional | 32  |
| Chevrolet Malibu    | Midsize Car| Hybrid       | 26  |
| Chevrolet Malibu    | Midsize Car| Conventional | 24  |
| Nissan Altima       | Midsize Car| Hybrid       | 33  |
| Nissan Altima       | Midsize Car| Conventional | 26  |
| Ford Escape         | Small SUV  | Hybrid       | 30  |
| Ford Escape         | Small SUV  | Conventional | 28  |
| Saturn Vue          | Small SUV  | Hybrid       | 27  |
| Saturn Vue          | Small SUV  | Conventional | 22  |
| Lexus RX            | Midsize SUV| Hybrid       | 23  |
| Lexus RX            | Midsize SUV| Conventional | 18  |
| Toyota Highlander   | Midsize SUV| Hybrid       | 25  |
| Toyota Highlander   | Midsize SUV| Conventional | 18  |

#### Instructions for ANOVA Analysis

1. **Data Rearrangement:**
   Rearrange the data for the ANOVA: Two-Factor With Replication analysis as shown below:

   |            | Hybrid        | Conventional    |
   |------------|---------------|-----------------|
   | Small Car  |               |                 |
   | Midsize Car|               |                 |
   | Small SUV  |               |                 |
   | Midsize SUV|               |                 |

2. **Analysis Steps:**
   - After reading these instructions, delete all text in the shaded area.
   - Use the XLMinor Analysis ToolPak to conduct your ANOVA: Two-Factor With Replication analysis.
   - After deleting all text in the shaded area, set the output range in the ToolPak to the top left cell of this area
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Transcribed Image Text:### ANOVA: Two-Factor With Replication Analysis #### Vehicle Efficiency Data Below is a sample dataset comprising different vehicle makes/models, classified by their class and type, along with their respective miles per gallon (MPG): | Make/Model | Class | Type | MPG | |---------------------|------------|--------------|-----| | Honda Civic | Small Car | Hybrid | 38 | | Honda Civic | Small Car | Conventional | 28 | | Toyota Prius | Small Car | Hybrid | 44 | | Toyota Corolla | Small Car | Conventional | 32 | | Chevrolet Malibu | Midsize Car| Hybrid | 26 | | Chevrolet Malibu | Midsize Car| Conventional | 24 | | Nissan Altima | Midsize Car| Hybrid | 33 | | Nissan Altima | Midsize Car| Conventional | 26 | | Ford Escape | Small SUV | Hybrid | 30 | | Ford Escape | Small SUV | Conventional | 28 | | Saturn Vue | Small SUV | Hybrid | 27 | | Saturn Vue | Small SUV | Conventional | 22 | | Lexus RX | Midsize SUV| Hybrid | 23 | | Lexus RX | Midsize SUV| Conventional | 18 | | Toyota Highlander | Midsize SUV| Hybrid | 25 | | Toyota Highlander | Midsize SUV| Conventional | 18 | #### Instructions for ANOVA Analysis 1. **Data Rearrangement:** Rearrange the data for the ANOVA: Two-Factor With Replication analysis as shown below: | | Hybrid | Conventional | |------------|---------------|-----------------| | Small Car | | | | Midsize Car| | | | Small SUV | | | | Midsize SUV| | | 2. **Analysis Steps:** - After reading these instructions, delete all text in the shaded area. - Use the XLMinor Analysis ToolPak to conduct your ANOVA: Two-Factor With Replication analysis. - After deleting all text in the shaded area, set the output range in the ToolPak to the top left cell of this area
### Analysis of Variance (ANOVA) for Vehicle Fuel Efficiency

#### a. At the \(\alpha = .05\) level of significance, test for significant effects due to class, type, and interaction.

**Source of Variation** | **Sum of Squares (to 2 decimals)** | **Degrees of Freedom** | **Mean Square (to 2 decimals)** | **F (to 2 decimals)**
------------------------|-------------------------------------|------------------------|--------------------------------|------------------------
Class                   |                                     |                        |                                |
Type                    |                                     |                        |                                |
Interaction             |                                     |                        |                                |
Error                   |                                     |                        |                                |
Total                   |                                     |                        |                                |

#### b. The \(p\)-value for the class of vehicle is ________.
**What is your conclusion with respect to the class of vehicle?**

There is ________ evidence to conclude that the fuel efficiency is not the same for the four classes of vehicle.

#### c. The \(p\)-value for the type of vehicle is ________.
**What is your conclusion with respect to the type of vehicle?**

There is ________ evidence to conclude that the fuel efficiency is not the same for the two types of vehicle.

#### d. The \(p\)-value for the interaction between class and type of vehicle is ________.
**What is your conclusion with respect to the interaction between class and type of vehicle?**

The interaction between type and class of vehicle is ________ statistically significant.

#### Options/Buttons:
- Check My Work
- Reset Problem
expand button
Transcribed Image Text:### Analysis of Variance (ANOVA) for Vehicle Fuel Efficiency #### a. At the \(\alpha = .05\) level of significance, test for significant effects due to class, type, and interaction. **Source of Variation** | **Sum of Squares (to 2 decimals)** | **Degrees of Freedom** | **Mean Square (to 2 decimals)** | **F (to 2 decimals)** ------------------------|-------------------------------------|------------------------|--------------------------------|------------------------ Class | | | | Type | | | | Interaction | | | | Error | | | | Total | | | | #### b. The \(p\)-value for the class of vehicle is ________. **What is your conclusion with respect to the class of vehicle?** There is ________ evidence to conclude that the fuel efficiency is not the same for the four classes of vehicle. #### c. The \(p\)-value for the type of vehicle is ________. **What is your conclusion with respect to the type of vehicle?** There is ________ evidence to conclude that the fuel efficiency is not the same for the two types of vehicle. #### d. The \(p\)-value for the interaction between class and type of vehicle is ________. **What is your conclusion with respect to the interaction between class and type of vehicle?** The interaction between type and class of vehicle is ________ statistically significant. #### Options/Buttons: - Check My Work - Reset Problem
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