An experiment to compare the spreading rates of five different brands of yellow

Question

An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular X2 = 512.8, x3. = 437.5, x4. = 469.3, and X5, = 532.1. The computed value of F was found to be significant at level ? = 0.05, with MSE = 360.8, 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. O X1. and x2. X1, and X3. x1, and X4. D X1. and Xs 2. and X3. x2. and X4. X2, and X5 x3, and x4. ? X3, and X5. X4. and xs There are no significant differences. You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

pooled standard deviation                                                                             =Sp =?MSE      = 18.995 critical value of q with 0.05 level and at k=5 and N-k=15 degree of freedom= 4.367 Tukey's (HSD) for group i and j w=                  (q/?2)*(sp*?(1/ni+1/nj)         = 41.48 difference significantly diff >41.48 x1 x2 50.8 Yes x1 x3 24.5 No x1 x4 7.3 No x1 x5 70.1 Yes x2 x3 75.3 Yes x2 x4 43.5 Yes x2 x5 19.3 No x3 x4 31.8 No x3 x5 94.6 Yes x4 x5 62.8 Yes

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