The interaction questions please (The last 3) **Factorial Experiment Analysis**A factorial experiment involving two levels of Factor A and three levels of Factor B resulted in the following data:| | Factor B ||-------------|-----------------|| | Level 1 | Level 2 | Level 3 || **Factor A** | | | || Level 1 | 131 | 94 | 75 || | 161 | 70 | 93 || Level 2 | 129 | 123 | 120 || | 99 | 101 | 136 |**Instructions:**Conduct a test for any significant main effects and any interaction, using α = 0.05.1. **Calculate the Test Statistic for Factor A:** - Round your answer to two decimal places and enter it in the space provided. - [Input box]2. **Calculate the p-value for Factor A:** - Round your answer to three decimal places and enter it in the space provided. - \( p\text{-value} = \) [Input box]3. **State Your Conclusion About Factor A:** Choose the correct conclusion based on the calculated p-value: - ☐ Because the \( p\text{-value} > \alpha = 0.05 \), Factor A is significant. - ☐ Because the \( p\text{-value} > \alpha = 0.05 \), Factor A is not significant. - ☐ Because the \( p\text{-value} \leq \alpha = 0.05 \), Factor A is not significant. - ☐ Because the \( p\text{-value} \leq \alpha = 0.05 \), Factor A is significant.4. **Calculate the Test Statistic for Factor B:** - Round your answer to two decimal places and enter it in the space provided. - [Input box]5. **Calculate the p-value for Factor B:** - Round your answer to three decimal places and enter it in the space provided. - \( p\text{-value} = \) [Input box]**Graph/Diagram Explanation:**The table above represents the mean values obtained from a factorial experiment with two factors, A and B, each with different levels. Factor A has two levels, and Factor B has ### Analysis of Variance (ANOVA) for Factors#### Factor B Analysis1. **Find the value of the test statistic for factor B.** - Instruction: Round your answer to two decimal places.2. **Find the \( p \)-value for factor B.** - Instruction: Round your answer to three decimal places. - \( p \)-value = [Input Field]3. **State your conclusion about factor B.** - Options: - ○ 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 B4. **Find the value of the test statistic for the interaction between factors A and B.** - Instruction: Round your answer to two decimal places.5. **Find the \( p \)-value for the interaction between factors A and B.** - Instruction: Round your answer to three decimal places. - \( p \)-value = [Input Field]6. **State your conclusion about the interaction between factors A and B.** - Options: - ○ 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.

Answered: Image /qna-images/answer/095908fa-1010-4f0e-b853-939580284db7.jpg

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 α = 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 ≤ α = 0.05, factor A is not significant. O Because the p-value ≤ α = 0.05, factor A is significant. 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 =