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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The factor B questions please. (secound photo first 3 questions) 

 

### Statistical Analysis for Factors A and B

#### Factor B Analysis
1. **Find the value of the test statistic for factor B.**  
   (Round your answer to two decimal places.)  
   [Input Box]

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

3. **State your conclusion about factor B:**
   - ( ) Because the *p*-value ≤ α = 0.05, factor B is not significant.
   - ( ) Because the *p*-value > α = 0.05, factor B is not significant.
   - ( ) Because the *p*-value > α = 0.05, factor B is significant.
   - ( ) Because the *p*-value ≤ α = 0.05, factor B is significant.

#### Interaction Between Factors A and B Analysis
4. **Find the value of the test statistic for the interaction between factors A and B.**  
   (Round your answer to two decimal places.)  
   [Input Box]

5. **Find the *p*-value for the interaction between factors A and B.**  
   (Round your answer to three decimal places.)  
   *p*-value = [Input Box]

6. **State your conclusion about the interaction between factors A and B:**
   - ( ) Because the *p*-value ≤ α = 0.05, the interaction between factors A and B is significant.
   - ( ) Because the *p*-value > α = 0.05, the interaction between factors A and B is not significant.
   - ( ) Because the *p*-value > α = 0.05, the interaction between factors A and B is significant.
   - ( ) Because the *p*-value ≤ α = 0.05, the interaction between factors A and B is not significant.
Transcribed Image Text:### Statistical Analysis for Factors A and B #### Factor B Analysis 1. **Find the value of the test statistic for factor B.** (Round your answer to two decimal places.) [Input Box] 2. **Find the *p*-value for factor B.** (Round your answer to three decimal places.) *p*-value = [Input Box] 3. **State your conclusion about factor B:** - ( ) Because the *p*-value ≤ α = 0.05, factor B is not significant. - ( ) Because the *p*-value > α = 0.05, factor B is not significant. - ( ) Because the *p*-value > α = 0.05, factor B is significant. - ( ) Because the *p*-value ≤ α = 0.05, factor B is significant. #### Interaction Between Factors A and B Analysis 4. **Find the value of the test statistic for the interaction between factors A and B.** (Round your answer to two decimal places.) [Input Box] 5. **Find the *p*-value for the interaction between factors A and B.** (Round your answer to three decimal places.) *p*-value = [Input Box] 6. **State your conclusion about the interaction between factors A and B:** - ( ) Because the *p*-value ≤ α = 0.05, the interaction between factors A and B is significant. - ( ) Because the *p*-value > α = 0.05, the interaction between factors A and B is not significant. - ( ) Because the *p*-value > α = 0.05, the interaction between factors A and B is significant. - ( ) Because the *p*-value ≤ α = 0.05, the interaction between factors A and B is not significant.
### Factorial Experiment Data Analysis

A factorial experiment involving two levels of Factor A and three levels of Factor B resulted in the following data:

#### Data Table
| Factor A | Factor B: Level 1 | Factor B: Level 2 | Factor B: Level 3 |
|----------|-------------------|-------------------|-------------------|
| Level 1  | 131               | 94                | 75                |
|          | 161               | 70                | 93                |
| Level 2  | 129               | 123               | 120               |
|          | 99                | 101               | 136               |

**Instructions:**

1. **Test for any significant main effects and any interaction.**  
   Use a significance level of \( \alpha = 0.05 \).

2. **Find the value of the test statistic for Factor A.**  
   (Round your answer to two decimal places.)

   - Test Statistic: [Input Field]

3. **Find the \( p \)-value for Factor A.**  
   (Round your answer to three decimal places.)

   - \( p \)-value: [Input Field]

4. **State your conclusion about Factor A.**

   - [ ] Because the \( p \)-value > \( \alpha = 0.05 \), Factor A is significant.
   - [ ] Because the \( p \)-value > \( \alpha = 0.05 \), Factor A is not significant.
   - [ ] Because the \( p \)-value \( \leq \alpha = 0.05 \), Factor A is not significant.
   - [ ] Because the \( p \)-value \( \leq \alpha = 0.05 \), Factor A is significant.

5. **Find the value of the test statistic for Factor B.**  
   (Round your answer to two decimal places.)

   - Test Statistic: [Input Field]

6. **Find the \( p \)-value for Factor B.**  
   (Round your answer to three decimal places.)

   - \( p \)-value: [Input Field]
Transcribed Image Text:### Factorial Experiment Data Analysis A factorial experiment involving two levels of Factor A and three levels of Factor B resulted in the following data: #### Data Table | Factor A | Factor B: Level 1 | Factor B: Level 2 | Factor B: Level 3 | |----------|-------------------|-------------------|-------------------| | Level 1 | 131 | 94 | 75 | | | 161 | 70 | 93 | | Level 2 | 129 | 123 | 120 | | | 99 | 101 | 136 | **Instructions:** 1. **Test for any significant main effects and any interaction.** Use a significance level of \( \alpha = 0.05 \). 2. **Find the value of the test statistic for Factor A.** (Round your answer to two decimal places.) - Test Statistic: [Input Field] 3. **Find the \( p \)-value for Factor A.** (Round your answer to three decimal places.) - \( p \)-value: [Input Field] 4. **State your conclusion about Factor A.** - [ ] Because the \( p \)-value > \( \alpha = 0.05 \), Factor A is significant. - [ ] Because the \( p \)-value > \( \alpha = 0.05 \), Factor A is not significant. - [ ] Because the \( p \)-value \( \leq \alpha = 0.05 \), Factor A is not significant. - [ ] Because the \( p \)-value \( \leq \alpha = 0.05 \), Factor A is significant. 5. **Find the value of the test statistic for Factor B.** (Round your answer to two decimal places.) - Test Statistic: [Input Field] 6. **Find the \( p \)-value for Factor B.** (Round your answer to three decimal places.) - \( p \)-value: [Input Field]
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