Question

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 x_1. = 462.0, x_2. = 512.8, x_3. = 437.5, x_4. = 469.3, and x_5. = 532.1. The computed value of F was found to be significant at level α = 0.05. With MSE = 480.8, 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.).

x_1. and x₂

x_1. and x₃

x_1. and x_4.

x_1. and x_5.

x_2. and x_3.

x_2. and x_4.

x_2. and x_5.

x_3. and x_4.

x_3. and x_5.

x_4. and x_5.

There are no significant differences.

Answer 1

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