# quality control statistical graphing collateral statistics

The book :

#### Chapter 6 Homework

6.1a (Hints: n=4; use equations 6.2, 6.3, 6.4 and 6.5; refer to Example 6.1)

6.1b (Hint: use equations 6.2 and 6.6)

6.5a (Hints: n=2; use equations 6.2, 6.3, 6.4 and 6.5)

6.5b (Hint: plot charts by hand on the answer sheet)

6.6a (Hints: n=3; use equations 6.2 and 6.6)

6.6b (Hint: refer to top of page 242)

6.17 (Hints: charts based on standard values; n=10, u =80, o-x = 10; use equations

6.15 and 6.25)

6.18a (Hints: n=6; use equations 6.2, 6.3, 6.4 and 6.5)

6.18b (Hints: refer to bottom of page 245 and top of page 246; use x-bar-bar as an

estimator of u; use R-bar/d2 as an estimator of o- )

6.18c (Hints: refer to pages 242-3; use equation 6.11;use R-bar/d2 as an estimator

of o-)

6.32ab (Hints: charts based on standard values; refer to pages 250-51; use equations

6.15 and 6.17)

6.39 (Hints: refer to page 255; u0=100, L = 3, n = 4, o- = 6, u1 = 92; k = (u1 – u0)/o- )

6.48 (Hints: refer to page 255, use the top equation to find

$Î²$

; use UCL = 104, LCL = 96, u0=100, u0 + ko- = 98, o- = 8, n = 5; then find 1 –

$Î²$

3)

6.49 (Hint: use equation 6.21)

6.54 (Hints: refer to page 250; k = zalpha/2)

6.66a (Hints: u^ = x-bar = 4.65, MR-bar = 4.32, n = 2, D4 = 3.267, D3 = 0, d2 = 1.128;

refer to Example 6.5)

6.77a (Hints: use equation 6.6; R-bar = 1.305, d2 = 1.128)

6.77b (Hints: refer to page 274; n = 2, s = 1.342)

6.77c (Hints: refer to top of page 274, MR-bar = 1.283, d2 = 1.128, span = n = 2)

6.77d (Hints: estimate o- for MR3 and MR4; MR3-bar = 2.049, n = 3, d2 = 1.693;

MR4-bar = 2.598, n = 4, d2 = 2.059)

6.77e