An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J= 4) of each paint. The sample average spreading rates (ft2/gal) for the five brands were x₁ = 462.0, X₂=512.8, X3. = 427.5, X4 = 469.3, and X5 = 532.1. The computed value of F was found to be significant at level a = 0.05. With MSE = 320.8, use Tukey's procedure to investigate significant differences between brands. (Round your answer to two decimal places.) W = Which means differ significantly from one another? (Select all that apply.) X₁, and x₂. X₁ and X3. Ox, and X4 X₁, and X5. X₂, and X3. X₂, and X4. X₂, and X5. X3, and X4. X3, and X5. X4, and X5. There are no significant differences.

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An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons \((J = 4)\) of each paint. The sample average spreading rates \((ft^2/gal)\) for the five brands were: 
- \(\bar{x}_1 = 462.0\), 
- \(\bar{x}_2 = 512.8\), 
- \(\bar{x}_3 = 427.5\), 
- \(\bar{x}_4 = 469.3\), and 
- \(\bar{x}_5 = 532.1\).

The computed value of \(F\) was found to be significant at a level \(\alpha = 0.05\). With \(MSE = 320.8\), use Tukey's procedure to investigate significant differences between brands. (Round your answer to two decimal places.)

**Which means differ significantly from one another? (Select all that apply.)**

- [ ] \(\bar{x}_1\) and \(\bar{x}_2\)
- [ ] \(\bar{x}_1\) and \(\bar{x}_3\)
- [ ] \(\bar{x}_1\) and \(\bar{x}_4\)
- [ ] \(\bar{x}_1\) and \(\bar{x}_5\)
- [ ] \(\bar{x}_2\) and \(\bar{x}_3\)
- [ ] \(\bar{x}_2\) and \(\bar{x}_4\)
- [ ] \(\bar{x}_2\) and \(\bar{x}_5\)
- [ ] \(\bar{x}_3\) and \(\bar{x}_4\)
- [ ] \(\bar{x}_3\) and \(\bar{x}_5\)
- [ ] \(\bar{x}_4\) and \(\bar{x}_5\)
- [ ] There are no significant differences.
Transcribed Image Text:An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons \((J = 4)\) of each paint. The sample average spreading rates \((ft^2/gal)\) for the five brands were: - \(\bar{x}_1 = 462.0\), - \(\bar{x}_2 = 512.8\), - \(\bar{x}_3 = 427.5\), - \(\bar{x}_4 = 469.3\), and - \(\bar{x}_5 = 532.1\). The computed value of \(F\) was found to be significant at a level \(\alpha = 0.05\). With \(MSE = 320.8\), use Tukey's procedure to investigate significant differences between brands. (Round your answer to two decimal places.) **Which means differ significantly from one another? (Select all that apply.)** - [ ] \(\bar{x}_1\) and \(\bar{x}_2\) - [ ] \(\bar{x}_1\) and \(\bar{x}_3\) - [ ] \(\bar{x}_1\) and \(\bar{x}_4\) - [ ] \(\bar{x}_1\) and \(\bar{x}_5\) - [ ] \(\bar{x}_2\) and \(\bar{x}_3\) - [ ] \(\bar{x}_2\) and \(\bar{x}_4\) - [ ] \(\bar{x}_2\) and \(\bar{x}_5\) - [ ] \(\bar{x}_3\) and \(\bar{x}_4\) - [ ] \(\bar{x}_3\) and \(\bar{x}_5\) - [ ] \(\bar{x}_4\) and \(\bar{x}_5\) - [ ] There are no significant differences.
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