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An experiment to compare the spreading rates of five different brands of yellow interior latex paint...

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Basic Math

An experiment to compare the spreading rates of five differentbrands of yellow interior latex paint available in a particulararea used 4 gallons (J = 4) of each paint. The sampleaverage spreading rates (ft2/gal) for the five brandswere x1. = 462.0, x2. =512.8, x3. = 437.5, x4. =469.3, and x5. = 532.1. The computed value ofF was found to be significant at level ? = 0.05.With MSE = 480.8, use Tukey's procedure to investigate significantdifferences between brands. (Round your answer to two decimalplaces.)
w =

Which means differ significantly from one another? (Select allthat apply.).

x1. and x2

x1. and x3

x1. 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.

Answer & Explanation Solved by verified expert
3.8 Ratings (392 Votes)

pooled standard deviation                                                                             =Sp =?MSE      = 21.93
critical value of q with 0.05 level and at k=5 and N-k=15 degree of freedom= 4.37
Tukey's (HSD) for group i and j =w= (q/?2)*(sp*?(1/ni+1/nj)         = 47.91
x1-x2 50.80 significant difference
x1-x5 70.10 significant difference
x2-x3 75.30 significant difference
x3-x5 94.60 significant difference
x4-x5 62.80 significant difference

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