Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Chapter 10.3, Problem 35E
To determine
The impact reduced by decrease the sound level by Navy sonar to protect marine mammals.
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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 10 Solutions
Mathematics: A Practical Odyssey
Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 2ECh. 10.0A - Prob. 3ECh. 10.0A - Prob. 4ECh. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 6ECh. 10.0A - Prob. 7ECh. 10.0A - Prob. 8ECh. 10.0A - Prob. 9ECh. 10.0A - In Exercises 1-12, find the value of u, v or b....
Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 12ECh. 10.0A - Prob. 13ECh. 10.0A - Prob. 14ECh. 10.0A - Prob. 15ECh. 10.0A - Prob. 16ECh. 10.0A - Prob. 17ECh. 10.0A - Prob. 18ECh. 10.0A - Prob. 19ECh. 10.0A - Prob. 20ECh. 10.0A - Prob. 21ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 24ECh. 10.0A - Prob. 25ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 27ECh. 10.0A - Prob. 28ECh. 10.0A - Prob. 29ECh. 10.0A - Prob. 30ECh. 10.0A - Prob. 31ECh. 10.0A - Prob. 32ECh. 10.0A - Prob. 33ECh. 10.0A - Prob. 34ECh. 10.0A - Prob. 35ECh. 10.0A - Prob. 36ECh. 10.0A - Prob. 37ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 39ECh. 10.0A - Prob. 40ECh. 10.0A - Prob. 41ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 43ECh. 10.0A - Prob. 44ECh. 10.0A - Prob. 45ECh. 10.0A - Prob. 46ECh. 10.0A - Prob. 47ECh. 10.0A - Prob. 48ECh. 10.0A - Prob. 49ECh. 10.0A - Prob. 50ECh. 10.0A - Prob. 51ECh. 10.0A - Prob. 52ECh. 10.0A - Prob. 53ECh. 10.0A - Prob. 54ECh. 10.0A - Prob. 55ECh. 10.0A - Prob. 56ECh. 10.0A - Prob. 57ECh. 10.0A - Prob. 58ECh. 10.0A - Prob. 59ECh. 10.0A - Prob. 60ECh. 10.0A - Prob. 61ECh. 10.0A - Prob. 62ECh. 10.0A - Prob. 63ECh. 10.0A - Prob. 64ECh. 10.0A - Prob. 65ECh. 10.0A - Prob. 66ECh. 10.0A - Prob. 67ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 2ECh. 10.0B - Prob. 3ECh. 10.0B - Prob. 4ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 6ECh. 10.0B - Prob. 7ECh. 10.0B - Prob. 8ECh. 10.0B - Prob. 9ECh. 10.0B - Prob. 10ECh. 10.0B - Prob. 11ECh. 10.0B - Prob. 12ECh. 10.0B - Prob. 13ECh. 10.0B - Prob. 14ECh. 10.0B - In Exercises 13-22, rewrite the given logarithm so...Ch. 10.0B - Prob. 16ECh. 10.0B - Prob. 17ECh. 10.0B - Prob. 18ECh. 10.0B - Prob. 19ECh. 10.0B - Prob. 20ECh. 10.0B - In Exercises 13-12, rewrite the given logarithm so...Ch. 10.0B - Prob. 22ECh. 10.0B - Prob. 23ECh. 10.0B - Prob. 24ECh. 10.0B - Prob. 25ECh. 10.0B - Prob. 26ECh. 10.0B - Prob. 27ECh. 10.0B - Prob. 28ECh. 10.0B - Prob. 29ECh. 10.0B - Prob. 30ECh. 10.0B - Prob. 31ECh. 10.0B - Prob. 32ECh. 10.0B - Prob. 33ECh. 10.0B - Prob. 34ECh. 10.0B - Prob. 35ECh. 10.0B - Prob. 36ECh. 10.0B - Prob. 37ECh. 10.0B - Prob. 38ECh. 10.0B - Prob. 39ECh. 10.0B - Prob. 40ECh. 10.0B - Prob. 41ECh. 10.0B - Prob. 42ECh. 10.0B - Prob. 43ECh. 10.0B - Prob. 44ECh. 10.0B - Prob. 45ECh. 10.0B - Prob. 46ECh. 10.0B - Prob. 47ECh. 10.0B - Prob. 48ECh. 10.0B - Prob. 49ECh. 10.0B - Prob. 50ECh. 10.0B - Prob. 51ECh. 10.0B - Prob. 52ECh. 10.0B - Prob. 53ECh. 10.0B - Prob. 54ECh. 10.0B - Prob. 55ECh. 10.0B - Prob. 56ECh. 10.0B - Prob. 57ECh. 10.0B - Prob. 58ECh. 10.0B - Prob. 59ECh. 10.0B - Prob. 60ECh. 10.0B - Prob. 61ECh. 10.0B - Prob. 62ECh. 10.0B - Prob. 63ECh. 10.0B - Prob. 64ECh. 10.0B - Prob. 65ECh. 10.0B - Prob. 66ECh. 10.0B - Exercises 59-70 refer to Example 10. You want to...Ch. 10.0B - Prob. 68ECh. 10.0B - Prob. 69ECh. 10.0B - Prob. 70ECh. 10.0B - Prob. 71ECh. 10.0B - Prob. 72ECh. 10.0B - Prob. 73ECh. 10.0B - Prob. 74ECh. 10.0B - Prob. 75ECh. 10.0B - Prob. 76ECh. 10.0B - Prob. 77ECh. 10.0B - Prob. 78ECh. 10.0B - Prob. 79ECh. 10.0B - Prob. 80ECh. 10.0B - Prob. 81ECh. 10.0B - Prob. 82ECh. 10.0B - Prob. 83ECh. 10.0B - Prob. 84ECh. 10.0B - Prob. 85ECh. 10.0B - Prob. 86ECh. 10.1 - Use the model p=30e0.0198026273t developed in...Ch. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - A biologist is conducting an experiment that...Ch. 10.1 - A university keeps a number of mice for psychology...Ch. 10.1 - Prob. 15ECh. 10.1 - In July 2012, Alvarado Niles bought a house for...Ch. 10.1 - An October 2009 article in The Industry Standard...Ch. 10.1 - According to a September9,2007, article in ZDNet,...Ch. 10.1 - The number of cell phone subscribers has been...Ch. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - In 1969, the National Academy of Sciences...Ch. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Use the data in Exercise 22 to complete the...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.2 - Using the model Q=20e0.086643397t developed in...Ch. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Using the model Q=8.2e0.053319013t developed in...Ch. 10.2 - Silicon-31 is used to diagnose certain medical...Ch. 10.2 - Plutonium-238 is used as a compact source of...Ch. 10.2 - How long will it take 64grams of magnesium 28 to...Ch. 10.2 - Prob. 8ECh. 10.2 - How long will it take 500grams of plutonium-241 to...Ch. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - How long will it take a given quantity of...Ch. 10.2 - How long will it take a given quantity of...Ch. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - In March 2011, the Fukushima Daiichi nuclear power...Ch. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - A lab technician had 58 grams of a radioactive...Ch. 10.2 - A lab technician had 32 grams of a radioactive...Ch. 10.2 - In 1989, a Mayan codex a remnant of ancient...Ch. 10.2 - Two Ohlone Indian skeletons, along with burial...Ch. 10.2 - In 1940, beautiful prehistoric cave paintings of...Ch. 10.2 - Prob. 26ECh. 10.2 - An ancient parchment contained 70 of the expected...Ch. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - How much carbon-14 would you expect to find in a...Ch. 10.2 - Prob. 33ECh. 10.2 - A museum claims that one of its skeleton is 9,000...Ch. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - In Example 8, we determined that 0.891(or89.1) of...Ch. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - What does the phrase half-life mean?Ch. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Shortly after the 1989 San Francisco quake, it was...Ch. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 18ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - In Exercises 21-24, find the dB gain for the given...Ch. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - If a single trumpet is playing at 78dB, how many...Ch. 10.3 - Prob. 31ECh. 10.3 - Find a rule of thumb for the dB gain if the number...Ch. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.CR - In Exercise 1-3, find the value of x. x=log381Ch. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 25CRCh. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10.CR - Prob. 33CRCh. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CR
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