STATISTICS (LL)
3rd Edition
ISBN: 9781119826453
Author: Lock
Publisher: WILEY
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Chapter 2.3, Problem 88E
To determine
Estimate the
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Table 5: Measurement Data for Question 9
Part Number
Op-1, M-1
Op-1, M-2 | Op-2, M-1 Op-2, M-2 | Op-3, M-1
Op-3, M-2
1
21
20
20
20
19
21
2
24
23
24
24
23
24
3
4
5
6
7
8
9
10
11
21
12
8222332
201
21
20
22
20
22
27
27
28
26
27
28
19
18
19
21
24
21
22
19
17
18
24
23
25
25
23
26
20
20
18
19
17
13
23
25
25
2 3 3 3 3 2 3
18
18
21
21
23
22
24
22
20
19
23
24
25
24
20
21
19
18
25
25
14
24
24
23
25
24
15
29
30
30
28
31
16
26
26
25
26
25
17
20
20
19
20
20
843882388
20
18
25
20
19
25
25
30
27
20
18
19
21
19
19
21
23
19
25
26
25
24
25
25
20
19
19
18
17
19
17
Question 9
A measurement systems experiment involving 20 parts, three operators (Op-1, Op-2, Op-3), and two measure-
ments (M-1, M-2) per part is shown in Table 5.
(a) Estimate the repeatability and reproducibility of the gauge.
(b) What is the estimate of total gauge variability?"
(c) If the product specifications are at LSL = 6 and USL 60, what can you say about gauge capability?
Question 5
A fraction nonconforming control chart with center line 0.10, UCL = 0.19, and LCL = 0.01 is used to control a
process.
(a) If three-sigma limits are used, find the sample size for the control charte
2
(b) Use the Poisson approximation to the binomial to find the probability of type I error.
(c) Use the Poisson approximation to the binomial to find the probability of type II error if the process fraction
defective is actually p = 0.20.
Question 8
Ten parts are measured three times by the same operator in a gauge capability study. The data are shown in
Table 4.
(a) Describe the measurement error that results from the use of this gauge. I
(b) Estimate total variability and product variability.
(c) What percentage of total variability is due to the gauge?
(d) If specifications on the part are at 100±15, find the P/T ratio for this gauge. Comment on the adequacy
of the gauge.
3
Table 4: Measurement Data for Question 8
Part Number Measurement 1 Measurement 2 Measurement 3
1
2
100
95
101
100
93
97
3
101
103
100
4
96
95
97
5
98
98
96
6
99
98
98
7889
95
97
98
100
99
98
100
100
97
10
100
98
98
99
Chapter 2 Solutions
STATISTICS (LL)
Ch. 2.1 - Exercises 2.1 to 2.4 provide information about...Ch. 2.1 - Exercises 2.1 to 2.4 provide information about...Ch. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prob. 8ECh. 2.1 - Prob. 9ECh. 2.1 - Prob. 10E
Ch. 2.1 - In Exercises 2.11 and 2.12, a two-way table is...Ch. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Culture and Mental Illness A recent study13...Ch. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Electrical Stimulation for Fresh Insight? If we...Ch. 2.1 - Exercises 2.26 to 2.29 use data on college...Ch. 2.1 - Prob. 27ECh. 2.1 - How Accurate Are Student Perceptions? Students in...Ch. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.2 - Exercises 2.42 to 2.48 refer to histograms A...Ch. 2.2 - Prob. 43ECh. 2.2 - Prob. 44ECh. 2.2 - Exercises 2.42 to 2.48 refer to histograms A...Ch. 2.2 - Prob. 46ECh. 2.2 - For each of the four histograms E, F, G, and H,...Ch. 2.2 - Prob. 48ECh. 2.2 - In Exercises 2.49 to 2.52, draw any dotplot to...Ch. 2.2 - Prob. 50ECh. 2.2 - Prob. 51ECh. 2.2 - Prob. 52ECh. 2.2 - Prob. 53ECh. 2.2 - Prob. 54ECh. 2.2 - Prob. 55ECh. 2.2 - Prob. 56ECh. 2.2 - Prob. 57ECh. 2.2 - Prob. 58ECh. 2.2 - Prob. 59ECh. 2.2 - Prob. 60ECh. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - Prob. 63ECh. 2.2 - Prob. 64ECh. 2.2 - Prob. 65ECh. 2.2 - Prob. 66ECh. 2.2 - Prob. 67ECh. 2.2 - Prob. 68ECh. 2.2 - Donating Blood to Grandma? Can young blood help...Ch. 2.2 - Prob. 70ECh. 2.2 - Prob. 71ECh. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.2 - Prob. 74ECh. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.3 - For the datasets in Exercises 2.78 to 2.83, use...Ch. 2.3 - Prob. 79ECh. 2.3 - Prob. 80ECh. 2.3 - Prob. 81ECh. 2.3 - Prob. 82ECh. 2.3 - Prob. 83ECh. 2.3 - Prob. 84ECh. 2.3 - Prob. 85ECh. 2.3 - Prob. 86ECh. 2.3 - Prob. 87ECh. 2.3 - Prob. 88ECh. 2.3 - Prob. 89ECh. 2.3 - Prob. 90ECh. 2.3 - Prob. 91ECh. 2.3 - Prob. 92ECh. 2.3 - Prob. 93ECh. 2.3 - Prob. 94ECh. 2.3 - Prob. 95ECh. 2.3 - Prob. 96ECh. 2.3 - In Exercises 2.94 to 2.97, indicate whether the...Ch. 2.3 - Prob. 98ECh. 2.3 - Prob. 99ECh. 2.3 - Prob. 100ECh. 2.3 - Prob. 101ECh. 2.3 - Prob. 102ECh. 2.3 - Prob. 103ECh. 2.3 - Prob. 104ECh. 2.3 - Prob. 105ECh. 2.3 - Prob. 106ECh. 2.3 - Prob. 107ECh. 2.3 - Prob. 108ECh. 2.3 - Prob. 109ECh. 2.3 - Prob. 110ECh. 2.3 - Prob. 111ECh. 2.3 - Prob. 112ECh. 2.3 - Laptop Computers and Sperm Count Studies have...Ch. 2.3 - Prob. 114ECh. 2.3 - Prob. 115ECh. 2.3 - Prob. 116ECh. 2.3 - Prob. 117ECh. 2.3 - Which Accomplishment of LeBron James Is Most...Ch. 2.3 - Prob. 119ECh. 2.3 - Prob. 120ECh. 2.3 - Prob. 121ECh. 2.3 - Largest and Smallest Standard Deviation Using only...Ch. 2.3 - Prob. 123ECh. 2.3 - Prob. 124ECh. 2.3 - Prob. 125ECh. 2.3 - Prob. 126ECh. 2.3 - Prob. 127ECh. 2.3 - Prob. 128ECh. 2.3 - Prob. 129ECh. 2.3 - Prob. 130ECh. 2.4 - In Exercises 2.131 and 2.132, match the five...Ch. 2.4 - Prob. 132ECh. 2.4 - Prob. 133ECh. 2.4 - Prob. 134ECh. 2.4 - Prob. 135ECh. 2.4 - Exercises 2.133 to 2.136 show a boxplot for a set...Ch. 2.4 - Prob. 137ECh. 2.4 - Prob. 138ECh. 2.4 - Prob. 139ECh. 2.4 - Prob. 140ECh. 2.4 - Literacy Rate Figure 2.39 gives a boxplot showing...Ch. 2.4 - Young Blood Helps Old Brains Exercise 2.69 on page...Ch. 2.4 - Prob. 143ECh. 2.4 - Prob. 144ECh. 2.4 - Prob. 145ECh. 2.4 - Audience Scores on Rotten Tomatoes The variable...Ch. 2.4 - Do Movie Budgets Differ Based on the Genre of the...Ch. 2.4 - Do Audience Ratings Differ Based on the Genre of...Ch. 2.4 - Physical Activity by Region of the Country in the...Ch. 2.4 - Prob. 150ECh. 2.4 - Prob. 151ECh. 2.4 - How Do Honeybees Communicate Quality? When...Ch. 2.4 - Prob. 153ECh. 2.4 - Prob. 154ECh. 2.4 - Prob. 155ECh. 2.4 - Prob. 156ECh. 2.4 - Prob. 157ECh. 2.4 - Prob. 158ECh. 2.4 - Prob. 159ECh. 2.5 - Match the scatterplots in Figure 2.54 with the...Ch. 2.5 - Match the scatterplots in Figure 2.54 with the...Ch. 2.5 - Prob. 162ECh. 2.5 - Prob. 163ECh. 2.5 - Prob. 164ECh. 2.5 - Prob. 165ECh. 2.5 - Prob. 166ECh. 2.5 - Prob. 167ECh. 2.5 - Prob. 168ECh. 2.5 - Prob. 169ECh. 2.5 - Prob. 170ECh. 2.5 - Prob. 171ECh. 2.5 - Prob. 172ECh. 2.5 - Prob. 173ECh. 2.5 - Prob. 174ECh. 2.5 - Prob. 175ECh. 2.5 - Prob. 176ECh. 2.5 - Prob. 177ECh. 2.5 - Prob. 178ECh. 2.5 - Mother’s Love, Hippocampus, and Resiliency...Ch. 2.5 - Prob. 180ECh. 2.5 - Prob. 181ECh. 2.5 - Prob. 182ECh. 2.5 - Prob. 183ECh. 2.5 - Prob. 184ECh. 2.5 - Prob. 185ECh. 2.5 - Prob. 186ECh. 2.5 - Prob. 187ECh. 2.5 - Prob. 188ECh. 2.5 - Prob. 189ECh. 2.5 - Prob. 190ECh. 2.5 - Prob. 191ECh. 2.5 - Prob. 192ECh. 2.5 - Prob. 193ECh. 2.5 - Prob. 194ECh. 2.5 - Iris Petals Allometry is the area of biology that...Ch. 2.5 - Create a Scatterplot Draw any scatterplot...Ch. 2.5 - Prob. 197ECh. 2.5 - Do Movies with Larger Budgets Get Higher Audience...Ch. 2.5 - Prob. 199ECh. 2.6 - In Exercises 2.200 to 2.203, two variables are...Ch. 2.6 - Prob. 201ECh. 2.6 - Prob. 202ECh. 2.6 - Prob. 203ECh. 2.6 - Prob. 204ECh. 2.6 - Prob. 205ECh. 2.6 - Use technology to find the regression line to...Ch. 2.6 - Prob. 207ECh. 2.6 - Prob. 208ECh. 2.6 - Prob. 209ECh. 2.6 - Is It Getting Harder to Win a Hot Dog Eating...Ch. 2.6 - Prob. 211ECh. 2.6 - Football and Cognitive Percentile Exercise 2.143...Ch. 2.6 - Prob. 213ECh. 2.6 - Prob. 214ECh. 2.6 - Prob. 215ECh. 2.6 - Height and Weight Using the data in the...Ch. 2.6 - Prob. 217ECh. 2.6 - Prob. 218ECh. 2.6 - Prob. 219ECh. 2.6 - Prob. 220ECh. 2.6 - Prob. 221ECh. 2.6 - Prob. 222ECh. 2.6 - Prob. 223ECh. 2.6 - Prob. 224ECh. 2.6 - Prob. 225ECh. 2.7 - Prob. 226ECh. 2.7 - Prob. 227ECh. 2.7 - Prob. 228ECh. 2.7 - Visualizing Football and Brain Size Exercise 2.143...Ch. 2.7 - Prob. 230ECh. 2.7 - Prob. 231ECh. 2.7 - Prob. 232ECh. 2.7 - Prob. 233ECh. 2.7 - Prob. 236ECh. 2.7 - Prob. 237ECh. 2.7 - Prob. 239ECh. 2.7 - Prob. 240ECh. 2.7 - Prob. 241ECh. 2.7 - Prob. 244ECh. 2.7 - Prob. 245ECh. 2.7 - Prob. 246ECh. 2.7 - Prob. 247ECh. 2.7 - Prob. 248ECh. 2.7 - Prob. 249ECh. 2.7 - Prob. 250ECh. 2.7 - Prob. 251ECh. 2.7 - Prob. 252ECh. 2.7 - Prob. 253ECh. 2.7 - Prob. 254ECh. 2.7 - Prob. 256ECh. 2.7 - Prob. 257ECh. 2.7 - Prob. 258ECh. 2.7 - Prob. 259ECh. 2.7 - Prob. 260ECh. 2.7 - Prob. 268E
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