A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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 \(\bar{x}_1 = 462.0\), \(\bar{x}_2 = 512.8\), \(\bar{x}_3 = 427.5\), \(\bar{x}_4 = 469.3\), \(\bar{x}_5 = 532.1\). The computed value of \(F\) was found to be significant at level \(\alpha = 0.05\). With MSE = 370.8, 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.)

- [ ] \(\bar{x}_1\) 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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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 \(\bar{x}_1 = 462.0\), \(\bar{x}_2 = 512.8\), \(\bar{x}_3 = 427.5\), \(\bar{x}_4 = 469.3\), \(\bar{x}_5 = 532.1\). The computed value of \(F\) was found to be significant at level \(\alpha = 0.05\). With MSE = 370.8, 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.) - [ ] \(\bar{x}_1\) 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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