EBK BUSINESS MATH
11th Edition
ISBN: 8220103632072
Author: NOBLE
Publisher: Pearson Education (US)
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Chapter 3.2, Problem 35SE
To determine
Whether each employee will be able to pay equal share. Also determine the catering cost paid by each person. All the employees in the department share the cost of lunch, which is catered at a total cost of
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slove the initial-value problem.
y'' + 7y' + 12y = 0, y(0) = 2, y'(0) = 8
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.
Chapter 3 Solutions
EBK BUSINESS MATH
Ch. 3.1 - Prob. 1-1SCCh. 3.1 - Prob. 1-2SCCh. 3.1 - Prob. 1-3SCCh. 3.1 - Prob. 1-4SCCh. 3.1 - Prob. 1-5SCCh. 3.1 - Prob. 1-6SCCh. 3.1 - Prob. 2-1SCCh. 3.1 - Prob. 2-2SCCh. 3.1 - Prob. 2-3SCCh. 3.1 - Prob. 2-4SC
Ch. 3.1 - Prob. 1SECh. 3.1 - Prob. 2SECh. 3.1 - Prob. 3SECh. 3.1 - Prob. 4SECh. 3.1 - Prob. 5SECh. 3.1 - Prob. 6SECh. 3.1 - Prob. 7SECh. 3.1 - Prob. 8SECh. 3.1 - Prob. 9SECh. 3.1 - Prob. 10SECh. 3.1 - Prob. 11SECh. 3.1 - Prob. 12SECh. 3.1 - Prob. 13SECh. 3.1 - Prob. 14SECh. 3.1 - Prob. 15SECh. 3.1 - Prob. 16SECh. 3.1 - Prob. 17SECh. 3.1 - Prob. 18SECh. 3.1 - Prob. 19SECh. 3.1 - Prob. 20SECh. 3.1 - Prob. 21SECh. 3.1 - Prob. 22SECh. 3.1 - Prob. 23SECh. 3.1 - Prob. 24SECh. 3.1 - Prob. 25SECh. 3.1 - Prob. 26SECh. 3.2 - Prob. 1-1SCCh. 3.2 - Prob. 1-2SCCh. 3.2 - Prob. 1-3SCCh. 3.2 - Prob. 1-4SCCh. 3.2 - Prob. 1-5SCCh. 3.2 - Prob. 1-6SCCh. 3.2 - Prob. 2-1SCCh. 3.2 - Prob. 2-2SCCh. 3.2 - Prob. 2-3SCCh. 3.2 - Prob. 2-4SCCh. 3.2 - Prob. 2-5SCCh. 3.2 - Prob. 2-6SCCh. 3.2 - Prob. 2-7SCCh. 3.2 - Prob. 2-8SCCh. 3.2 - Prob. 2-9SCCh. 3.2 - Prob. 2-10SCCh. 3.2 - Prob. 2-11SCCh. 3.2 - Prob. 2-12SCCh. 3.2 - Prob. 3-1SCCh. 3.2 - Prob. 3-2SCCh. 3.2 - Prob. 3-3SCCh. 3.2 - Prob. 3-4SCCh. 3.2 - Prob. 3-5SCCh. 3.2 - Prob. 3-6SCCh. 3.2 - Prob. 3-7SCCh. 3.2 - Prob. 1SECh. 3.2 - Prob. 2SECh. 3.2 - Prob. 3SECh. 3.2 - Prob. 4SECh. 3.2 - Prob. 5SECh. 3.2 - Prob. 6SECh. 3.2 - Prob. 7SECh. 3.2 - Prob. 8SECh. 3.2 - Prob. 9SECh. 3.2 - Prob. 10SECh. 3.2 - Prob. 11SECh. 3.2 - Prob. 12SECh. 3.2 - Prob. 13SECh. 3.2 - Prob. 14SECh. 3.2 - Prob. 15SECh. 3.2 - Prob. 16SECh. 3.2 - Prob. 17SECh. 3.2 - Prob. 18SECh. 3.2 - Prob. 19SECh. 3.2 - Prob. 20SECh. 3.2 - Prob. 21SECh. 3.2 - Prob. 22SECh. 3.2 - Prob. 23SECh. 3.2 - Prob. 24SECh. 3.2 - Prob. 25SECh. 3.2 - Prob. 26SECh. 3.2 - Prob. 27SECh. 3.2 - Prob. 28SECh. 3.2 - Prob. 29SECh. 3.2 - Prob. 30SECh. 3.2 - Prob. 31SECh. 3.2 - Prob. 32SECh. 3.2 - Prob. 33SECh. 3.2 - Prob. 34SECh. 3.2 - Prob. 35SECh. 3.2 - Prob. 36SECh. 3.2 - Prob. 37SECh. 3.2 - Prob. 38SECh. 3.3 - Prob. 1-1SCCh. 3.3 - Prob. 1-2SCCh. 3.3 - Prob. 1-3SCCh. 3.3 - Prob. 1-4SCCh. 3.3 - Prob. 1-5SCCh. 3.3 - Prob. 2-1SCCh. 3.3 - Prob. 2-2SCCh. 3.3 - Prob. 2-3SCCh. 3.3 - Prob. 2-4SCCh. 3.3 - Prob. 2-5SCCh. 3.3 - Prob. 2-6SCCh. 3.3 - Prob. 1SECh. 3.3 - Prob. 2SECh. 3.3 - Prob. 3SECh. 3.3 - Prob. 4SECh. 3.3 - Prob. 5SECh. 3.3 - Prob. 6SECh. 3.3 - Prob. 7SECh. 3.3 - Prob. 8SECh. 3.3 - Prob. 9SECh. 3.3 - Prob. 10SECh. 3.3 - Prob. 11SECh. 3.3 - Prob. 12SECh. 3.3 - Prob. 13SECh. 3.3 - Prob. 14SECh. 3.3 - Prob. 15SECh. 3.3 - Prob. 16SECh. 3.3 - Prob. 17SECh. 3.3 - Prob. 18SECh. 3.3 - Prob. 19SECh. 3.3 - Prob. 20SECh. 3 - Prob. 1ESCh. 3 - Prob. 2ESCh. 3 - Prob. 3ESCh. 3 - Prob. 4ESCh. 3 - Prob. 5ESCh. 3 - Prob. 6ESCh. 3 - Prob. 7ESCh. 3 - Prob. 8ESCh. 3 - Prob. 9ESCh. 3 - Prob. 10ESCh. 3 - Prob. 11ESCh. 3 - Prob. 12ESCh. 3 - Prob. 13ESCh. 3 - Prob. 14ESCh. 3 - Prob. 15ESCh. 3 - Prob. 16ESCh. 3 - Prob. 17ESCh. 3 - Prob. 18ESCh. 3 - Prob. 19ESCh. 3 - Prob. 20ESCh. 3 - Prob. 21ESCh. 3 - Prob. 22ESCh. 3 - Prob. 23ESCh. 3 - Prob. 24ESCh. 3 - Prob. 25ESCh. 3 - Prob. 26ESCh. 3 - Prob. 27ESCh. 3 - Prob. 28ESCh. 3 - Prob. 29ESCh. 3 - Prob. 30ESCh. 3 - Prob. 31ESCh. 3 - Prob. 32ESCh. 3 - Prob. 33ESCh. 3 - Prob. 34ESCh. 3 - Prob. 35ESCh. 3 - Prob. 36ESCh. 3 - Prob. 37ESCh. 3 - Prob. 38ESCh. 3 - Prob. 39ESCh. 3 - Prob. 40ESCh. 3 - Prob. 41ESCh. 3 - Prob. 42ESCh. 3 - Prob. 43ESCh. 3 - Prob. 44ESCh. 3 - Prob. 45ESCh. 3 - Prob. 46ESCh. 3 - Prob. 47ESCh. 3 - Prob. 48ESCh. 3 - Prob. 49ESCh. 3 - Prob. 50ESCh. 3 - Prob. 51ESCh. 3 - Prob. 52ESCh. 3 - Prob. 53ESCh. 3 - Prob. 54ESCh. 3 - Prob. 55ESCh. 3 - Prob. 56ESCh. 3 - Prob. 57ESCh. 3 - Prob. 58ESCh. 3 - Prob. 59ESCh. 3 - Prob. 60ESCh. 3 - Prob. 61ESCh. 3 - Prob. 62ESCh. 3 - Prob. 63ESCh. 3 - Prob. 64ESCh. 3 - Prob. 65ESCh. 3 - Prob. 66ESCh. 3 - Prob. 67ESCh. 3 - Prob. 68ESCh. 3 - Prob. 69ESCh. 3 - Prob. 70ESCh. 3 - Prob. 71ESCh. 3 - Prob. 72ESCh. 3 - Prob. 73ESCh. 3 - Prob. 74ESCh. 3 - Prob. 75ESCh. 3 - Prob. 76ESCh. 3 - Prob. 77ESCh. 3 - Prob. 78ESCh. 3 - Prob. 79ESCh. 3 - Prob. 80ESCh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - Prob. 12PTCh. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 23PTCh. 3 - Prob. 24PTCh. 3 - Prob. 25PTCh. 3 - Prob. 26PTCh. 3 - Prob. 27PTCh. 3 - Prob. 28PTCh. 3 - Prob. 29PTCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 1CPCh. 3 - Prob. 2CPCh. 3 - Prob. 1CS1Ch. 3 - Prob. 2CS1Ch. 3 - Prob. 3CS1Ch. 3 - Prob. 4CS1Ch. 3 - Prob. 1CS2Ch. 3 - Prob. 2CS2
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- 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 99arrow_forwardQuestion 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 3arrow_forwardQuestion 1 The commercial loan operation of a financial institution has a standard for processing new loan applications in 24 hours. Table 1 shows the number of applications processed each day for the last 20 days and the number of applications that required more than 24 hours to complete. Table 1: Loan Application Data for Question 1 Day Applications Late Day Applications Late 1 200 3 11 219 0 2 250 4 12 238 10 3 240 2 13 250 4 4 300 5 14 302 6 5 200 2 15 219 20 6 250 4 16 246 3 7 246 3 17 251 6 8 258 5 18 273 7 9 275 2 19 245 3 10 274 1 20 260 (a) Set up the fraction nonconforming control chart for this process. Use the variable-width control limit approach. Plot the preliminary data in Table 1 on the chart. Is the process in statistical control? (b) Assume that assignable causes can be found for any out-of-control points on this chart. What center line should be used for process monitoring in the next period, and how should the control limits be calculated?arrow_forward
- Prove that if a and b are both positive, then y(x)⭢0 as x⭢∞ for all sloutions y of the questionarrow_forwardShow how to use "Change of Variables Formula for Integrals" to solve "Separable Differential Equations"arrow_forwardUse the two methods "real number solution space basis" and "complex solution space basis" respectively to solve y''+ 4y' + 4y = 0, y(-1) = 2, y'(-1) = 1arrow_forward
- Explain the key points of Theroem 9.3.6arrow_forwardUse the two methods "real number solution space basis" and "complex solution space basis" respectively to solve y''+ 4y' + 4y = 0, y(-1) = 2, y'(-1) = 1arrow_forwardShow how to use "Change of Variables Formula for Integrals" to solve "Separable Differential Equations"arrow_forward
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