Question

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 x1. = 462.0, 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 α = 0.05. With MSE = 490.8, use Tukey's procedure to investigate significant differences between brands. (Round your answer to two decimal places.)

w = ?

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

A) x1. and x2.

B) x1. and x3.

C) x1. and x4.

D) x1. and x5.

E) x2. and x3.

F) x2. and x4.

G) x2. and x5.

H) x3. and x4.

I) x3. and x5.

J) x4. and x5.

K) There are no significant differences.

Answer 1

pooled standard deviation                                                                             =Sp =√MSE      =						22.15
critical value of q with 0.05 level and at k=5 and N-k=15 degree of freedom=						4.370
Tukey's (HSD) for group i and j w=                  (q/√2)*(sp*√(1/ni+1/nj)         =						48.41

from above significantly groups are:

A) x1. and x2

D) x1. and x5.

E) x2. and x3

I) x3. and x5.

J) x4. and x5.