Design And Analysis Of Experiments Chapter 8 Solutions -

y = [25, 22, 20, 30, 24, 28, 32, 35]

If you have specific problem numbers from your textbook, I can provide the exact step‑by‑step solutions.

A: -25+22-20+30-24+28-32+35 = (-25+22=-3; -3-20=-23; -23+30=7; 7-24=-17; -17+28=11; 11-32=-21; -21+35=14) ✅ design and analysis of experiments chapter 8 solutions

AC: (+1,-1,+1,-1,-1,+1,-1,+1) = 25-22+20-30-24+28-32+35 = (25-22=3; 3+20=23; 23-30=-7; -7-24=-31; -31+28=-3; -3-32=-35; -35+35=0) ✅

Better to compute systematically:

C: -25-22-20-30+24+28+32+35 = (-47-20=-67; -67-30=-97; -97+24=-73; -73+28=-45; -45+32=-13; -13+35=22) ✅

Block 1: (1)=25, ab=30, ac=28, bc=32 Block 2: a=22, b=20, c=24, abc=35 y = [25, 22, 20, 30, 24, 28,

ABC: confounded with block — contrast is the block difference. ABC contrast = (+1,-1,-1,+1,-1,+1,+1,-1)?? Wait, sign pattern for ABC = A B C = (1): +++ → +1; a: +-- → -1; b: -+- → -1; ab: --+ → +1; c: -++ → -1; ac: +-+ → +1; bc: ++- → +1; abc: --- → -1. So ABC: +1, -1, -1, +1, -1, +1, +1, -1.