(Solved): An experiment to compare the spreading rates of five different brands of yellow interior latex pai ...

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 ( \( \left.\mathrm{ft}^{2} / \mathrm{gal}\right) \) 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 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. You may need to use the appropriate table in the Appendix of Tables to answer this question.