The factor B questions please. (secound photo first 3 questions) ### Statistical Analysis for Factors A and B#### Factor B Analysis1. **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 Analysis4. **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 AnalysisA 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]

Answered: Image /qna-images/answer/9aeca42e-f973-4618-a8ed-8d37051067bc.jpg

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.