
EBK BUSINESS MATH
11th Edition
ISBN: 8220103632072
Author: NOBLE
Publisher: Pearson Education (US)
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Chapter 20, Problem 2CT
To determine
The relationship between income tax paid by a single person and a married person filing jointly for income within a range of
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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
Question 6
The data shown in Table 3 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345). Perform a process capability analysis using and R charts for the data
from Table 3.
Table 3: Data for Question 6
Sample Number
R | Sample Number I
Ꭱ
1
34.5
3
13
35.4 8
2
34.2
4
14
34.0 6
∞∞
31.6
15
37.1 5
4
31.5 4
16
34.9 7
56789
35.0
5
17
33.5
4
34.1 6
18
31.7 3
32.6 4
19
34.0
8
33.8 3
20
35.1 4
34.8 7
10
33.6
8
11
31.9 3
12
38.6
9
2232
21
33.7
2
32.8 1
33.5
24
34.2 2
32
3
Chapter 20 Solutions
EBK BUSINESS MATH
Ch. 20.1 - Prob. 1-1SCCh. 20.1 - Prob. 1-2SCCh. 20.1 - Prob. 1-3SCCh. 20.1 - Prob. 1-4SCCh. 20.1 - Prob. 1-5SCCh. 20.1 - Prob. 1-6SCCh. 20.1 - Prob. 2-1SCCh. 20.1 - Prob. 2-2SCCh. 20.1 - Prob. 2-3SCCh. 20.1 - Prob. 2-4SC
Ch. 20.1 - Prob. 1SECh. 20.1 - Prob. 2SECh. 20.1 - Prob. 3SECh. 20.1 - Prob. 4SECh. 20.1 - Prob. 5SECh. 20.1 - Prob. 6SECh. 20.1 - Prob. 7SECh. 20.1 - Prob. 8SECh. 20.1 - Prob. 9SECh. 20.1 - Prob. 10SECh. 20.1 - Prob. 11SECh. 20.1 - Prob. 12SECh. 20.1 - Prob. 13SECh. 20.1 - Prob. 14SECh. 20.1 - Prob. 15SECh. 20.1 - Prob. 16SECh. 20.1 - Prob. 17SECh. 20.1 - Prob. 18SECh. 20.1 - Prob. 19SECh. 20.1 - Prob. 20SECh. 20.2 - Prob. 1-1SCCh. 20.2 - Prob. 1-2SCCh. 20.2 - Prob. 1-3SCCh. 20.2 - Prob. 1-4SCCh. 20.2 - Prob. 2-1SCCh. 20.2 - Prob. 2-2SCCh. 20.2 - Prob. 2-3SCCh. 20.2 - Prob. 2-4SCCh. 20.2 - Prob. 3-1SCCh. 20.2 - Prob. 3-2SCCh. 20.2 - Prob. 3-3SCCh. 20.2 - Prob. 3-4SCCh. 20.2 - Prob. 3-5SCCh. 20.2 - Prob. 3-6SCCh. 20.2 - Prob. 1SECh. 20.2 - Prob. 2SECh. 20.2 - Prob. 3SECh. 20.2 - Prob. 4SECh. 20.2 - Prob. 5SECh. 20.2 - Prob. 6SECh. 20.2 - Prob. 7SECh. 20.2 - Prob. 8SECh. 20.2 - Prob. 9SECh. 20.2 - Prob. 10SECh. 20.2 - Prob. 11SECh. 20.2 - Prob. 12SECh. 20.2 - Prob. 13SECh. 20.2 - Prob. 14SECh. 20.2 - Prob. 15SECh. 20.2 - Prob. 16SECh. 20.2 - Prob. 17SECh. 20.2 - Prob. 18SECh. 20.2 - Prob. 19SECh. 20.2 - Prob. 20SECh. 20.2 - Prob. 21SECh. 20.2 - Prob. 22SECh. 20.2 - Prob. 23SECh. 20.3 - Prob. 1-1SCCh. 20.3 - Prob. 1-2SCCh. 20.3 - Prob. 1-3SCCh. 20.3 - Prob. 1-4SCCh. 20.3 - Prob. 2-1SCCh. 20.3 - Prob. 2-2SCCh. 20.3 - Prob. 2-3SCCh. 20.3 - Prob. 2-4SCCh. 20.3 - Prob. 3-1SCCh. 20.3 - Prob. 3-2SCCh. 20.3 - Prob. 3-3SCCh. 20.3 - Prob. 3-4SCCh. 20.3 - Prob. 1SECh. 20.3 - Prob. 2SECh. 20.3 - Prob. 3SECh. 20.3 - Prob. 4SECh. 20.3 - Prob. 5SECh. 20.3 - Prob. 6SECh. 20.3 - Prob. 7SECh. 20.3 - Prob. 8SECh. 20.3 - Prob. 9SECh. 20.3 - Prob. 10SECh. 20.3 - Prob. 11SECh. 20.3 - Prob. 12SECh. 20.3 - Prob. 13SECh. 20.3 - Prob. 14SECh. 20.3 - Prob. 15SECh. 20.3 - Prob. 16SECh. 20.3 - Prob. 17SECh. 20.3 - Prob. 18SECh. 20.3 - Prob. 19SECh. 20.3 - Prob. 20SECh. 20 - Prob. 1ESCh. 20 - Prob. 2ESCh. 20 - Prob. 3ESCh. 20 - Prob. 4ESCh. 20 - Prob. 5ESCh. 20 - Prob. 6ESCh. 20 - Prob. 7ESCh. 20 - Prob. 8ESCh. 20 - Prob. 9ESCh. 20 - Prob. 10ESCh. 20 - Prob. 11ESCh. 20 - Prob. 12ESCh. 20 - Prob. 13ESCh. 20 - Prob. 14ESCh. 20 - Prob. 15ESCh. 20 - Prob. 16ESCh. 20 - Prob. 17ESCh. 20 - Prob. 18ESCh. 20 - Prob. 19ESCh. 20 - Prob. 20ESCh. 20 - Prob. 21ESCh. 20 - Prob. 22ESCh. 20 - Prob. 23ESCh. 20 - Prob. 24ESCh. 20 - Prob. 25ESCh. 20 - Prob. 26ESCh. 20 - Prob. 27ESCh. 20 - Prob. 28ESCh. 20 - Prob. 29ESCh. 20 - Prob. 30ESCh. 20 - Prob. 31ESCh. 20 - Prob. 32ESCh. 20 - Prob. 33ESCh. 20 - Prob. 34ESCh. 20 - Prob. 35ESCh. 20 - Prob. 36ESCh. 20 - Prob. 37ESCh. 20 - Prob. 38ESCh. 20 - Prob. 39ESCh. 20 - Prob. 40ESCh. 20 - Prob. 41ESCh. 20 - Prob. 42ESCh. 20 - Prob. 43ESCh. 20 - Prob. 44ESCh. 20 - Prob. 45ESCh. 20 - Prob. 46ESCh. 20 - Prob. 47ESCh. 20 - Prob. 48ESCh. 20 - Prob. 49ESCh. 20 - Prob. 50ESCh. 20 - Prob. 51ESCh. 20 - Prob. 52ESCh. 20 - Prob. 53ESCh. 20 - Prob. 54ESCh. 20 - Prob. 55ESCh. 20 - Prob. 56ESCh. 20 - Prob. 57ESCh. 20 - Prob. 58ESCh. 20 - Prob. 59ESCh. 20 - Prob. 60ESCh. 20 - Prob. 61ESCh. 20 - Prob. 62ESCh. 20 - Prob. 63ESCh. 20 - Prob. 64ESCh. 20 - Prob. 65ESCh. 20 - Prob. 66ESCh. 20 - Prob. 67ESCh. 20 - Prob. 68ESCh. 20 - Prob. 69ESCh. 20 - Prob. 70ESCh. 20 - Prob. 71ESCh. 20 - Prob. 72ESCh. 20 - Prob. 1PTCh. 20 - Prob. 2PTCh. 20 - Prob. 3PTCh. 20 - Prob. 4PTCh. 20 - Prob. 5PTCh. 20 - Prob. 6PTCh. 20 - Prob. 7PTCh. 20 - Prob. 8PTCh. 20 - Prob. 9PTCh. 20 - Prob. 10PTCh. 20 - Prob. 11PTCh. 20 - Prob. 12PTCh. 20 - Prob. 13PTCh. 20 - Prob. 14PTCh. 20 - Prob. 15PTCh. 20 - Prob. 16PTCh. 20 - Prob. 17PTCh. 20 - Prob. 18PTCh. 20 - Prob. 19PTCh. 20 - Prob. 20PTCh. 20 - Prob. 21PTCh. 20 - Prob. 22PTCh. 20 - Prob. 1CTCh. 20 - Prob. 2CTCh. 20 - Prob. 3CTCh. 20 - Prob. 4CTCh. 20 - Prob. 5CTCh. 20 - Prob. 6CTCh. 20 - Prob. 7CTCh. 20 - Prob. 8CTCh. 20 - Prob. 1CPCh. 20 - Prob. 2CPCh. 20 - Prob. 1CS1Ch. 20 - Prob. 2CS1Ch. 20 - Prob. 3CS1Ch. 20 - Prob. 4CS1Ch. 20 - Prob. 1CS2Ch. 20 - Prob. 2CS2Ch. 20 - Prob. 3CS2Ch. 20 - Prob. 4CS2
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