A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor A Level 1 Level 2 Level 1 131 161 129 99 Factor B Level 2 94 70 123 101 Level 3 75 93 120 136 Test for any significant main effects and any interaction. Use a = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.) p-value = State your conclusion about factor A. O Because the p-value > a = 0.05, factor A is significant. O Because the p-value > a = 0.05, factor A is not significant. O Because the p-value < a = 0.05, factor A is not significant. O Because the p-value ≤ a = 0.05, factor A is significant.
A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor A Level 1 Level 2 Level 1 131 161 129 99 Factor B Level 2 94 70 123 101 Level 3 75 93 120 136 Test for any significant main effects and any interaction. Use a = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.) p-value = State your conclusion about factor A. O Because the p-value > a = 0.05, factor A is significant. O Because the p-value > a = 0.05, factor A is not significant. O Because the p-value < a = 0.05, factor A is not significant. O Because the p-value ≤ a = 0.05, factor A is significant.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 2GP
Related questions
Question
Just the factor A questions please. (The first 3)
![### Statistical Analysis Exercise
#### 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 \(\leq \alpha = 0.05\), factor B is not significant.
- [ ] Because the \( p \)-value \(> \alpha = 0.05\), factor B is not significant.
- [ ] Because the \( p \)-value \(> \alpha = 0.05\), factor B is significant.
- [ ] Because the \( p \)-value \(\leq \alpha = 0.05\), factor B is significant.
#### Interaction Between Factors A and B
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 \(\leq \alpha = 0.05\), the interaction between factors A and B is significant.
- [ ] Because the \( p \)-value \(> \alpha = 0.05\), the interaction between factors A and B is not significant.
- [ ] Because the \( p \)-value \(> \alpha = 0.05\), the interaction between factors A and B is significant.
- [ ] Because the \( p \)-value \(\leq \alpha = 0.05\), the interaction between factors A and B is not significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ad87420-52d2-4e34-815e-eb9bcb5c95c0%2Fd575a923-5168-46e1-be6b-f93630b40089%2F0npl9f_processed.png&w=3840&q=75)
Transcribed Image Text:### Statistical Analysis Exercise
#### 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 \(\leq \alpha = 0.05\), factor B is not significant.
- [ ] Because the \( p \)-value \(> \alpha = 0.05\), factor B is not significant.
- [ ] Because the \( p \)-value \(> \alpha = 0.05\), factor B is significant.
- [ ] Because the \( p \)-value \(\leq \alpha = 0.05\), factor B is significant.
#### Interaction Between Factors A and B
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 \(\leq \alpha = 0.05\), the interaction between factors A and B is significant.
- [ ] Because the \( p \)-value \(> \alpha = 0.05\), the interaction between factors A and B is not significant.
- [ ] Because the \( p \)-value \(> \alpha = 0.05\), the interaction between factors A and B is significant.
- [ ] Because the \( p \)-value \(\leq \alpha = 0.05\), the interaction between factors A and B is not significant.
![### Factorial Experiment Analysis
A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data:
#### Table: Experimental Data
| 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 |
### Statistical Analysis
Test for any significant main effects and any interaction. Use \(\alpha = 0.05\).
#### Factor A Analysis
1. **Find the value of the test statistic for factor A.**
- **(Round your answer to two decimal places.)**
Input: [ ]
2. **Find the \(p\)-value for factor A.**
- **(Round your answer to three decimal places.)**
\(p\)-value: [ ]
3. **Conclusion about factor A:**
- \( \small{\circ} \) Because the \(p\)-value > \(\alpha = 0.05\), factor A is significant.
- \( \small{\circ} \) Because the \(p\)-value > \(\alpha = 0.05\), factor A is not significant.
- \( \small{\circ} \) Because the \(p\)-value \(\leq \alpha = 0.05\), factor A is not significant.
- \( \small{\circ} \) Because the \(p\)-value \(\leq \alpha = 0.05\), factor A is significant.
#### Factor B Analysis
1. **Find the value of the test statistic for factor B.**
- **(Round your answer to two decimal places.)**
Input: [ ]
2. **Find the \(p\)-value for factor B.**
- **(Round your answer to three decimal places.)**
\(p\)-value: [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ad87420-52d2-4e34-815e-eb9bcb5c95c0%2Fd575a923-5168-46e1-be6b-f93630b40089%2Fk4blp6q_processed.png&w=3840&q=75)
Transcribed Image Text:### Factorial Experiment Analysis
A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data:
#### Table: Experimental Data
| 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 |
### Statistical Analysis
Test for any significant main effects and any interaction. Use \(\alpha = 0.05\).
#### Factor A Analysis
1. **Find the value of the test statistic for factor A.**
- **(Round your answer to two decimal places.)**
Input: [ ]
2. **Find the \(p\)-value for factor A.**
- **(Round your answer to three decimal places.)**
\(p\)-value: [ ]
3. **Conclusion about factor A:**
- \( \small{\circ} \) Because the \(p\)-value > \(\alpha = 0.05\), factor A is significant.
- \( \small{\circ} \) Because the \(p\)-value > \(\alpha = 0.05\), factor A is not significant.
- \( \small{\circ} \) Because the \(p\)-value \(\leq \alpha = 0.05\), factor A is not significant.
- \( \small{\circ} \) Because the \(p\)-value \(\leq \alpha = 0.05\), factor A is significant.
#### Factor B Analysis
1. **Find the value of the test statistic for factor B.**
- **(Round your answer to two decimal places.)**
Input: [ ]
2. **Find the \(p\)-value for factor B.**
- **(Round your answer to three decimal places.)**
\(p\)-value: [ ]
Expert Solution
Step 1
The data shows the two levels of factor A and three levels of factor B.
Step by step
Solved in 2 steps with 1 images
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