Question

10.1 (1)

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. = 427.5,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 = 360.8, use Tukey's procedure to investigate significant differences between brands.
w = 41.50

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

x_1. and x₂

_.x_1. and x_3.

x_1. and x₄

_.x_1. and x₅

_.x_2. and x_3.

x_2. and x_4.

x_2. and x_5.

x_3. and x_4.

x_3. and x₅

_.x_4. and x_5.

There are no significant difference

Answer 1

Tukey's (HSD) for group i and j w=                  (q/√2)*(sp*√(1/ni+1/nj)         =

41.48

below are the group that differs significantly:

x_1. and x₂

_.x_1. and x₅

_.x_2. and x_3.

x_2. and x₄

x_3. and x_4.

x_3. and x₅

_.x_4. and x_5.