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2 pages/≈550 words
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Level:
MLA
Subject:
Accounting, Finance, SPSS
Type:
Math Problem
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 9.36
Topic:
Quantative Techniques: Solve Math Problems and Draw Charts (Math Problem Sample)
Instructions:
Solve math problems and draw charts
source..Content:
Name
Professor
Subject
Date
QUESTION ONE
The product delivery system is a series-parallel system. The state function that is used to assess the reliability of the system is by decomposing the system into respective sub-systems.
The parallel sub-system reliability calculation is through co- product of the individual elements
The parallel subsystem contains two components with identical reliability of (1 – 3/10,000)
Individual reliability = 0.9997
Subsystem reliability R= 1 – (1 – 0.9997)2 = 0.9999
The series sub-system reliability calculation is through product of individual reliabilities
The 15 components in the series sub-system each with a reliability of (1 – 1/10,000)
Individual component reliability = 0.9999
Reliability of the sub-system = (0.9999)15
R = 0.9985
Finally, since the two subsystems are put together in series, the overall reliability is the product of the two sub-systems, (0.9999 . 0.9985) = 0.9985
QUESTION TWO
The Xbar - chart shown in the plot below evaluates the consistency of sample averages by graphing the average of each sample. It is useful at showing the relatively large deviations in the plotted sample average.
The R-chart plots the ranges of each sample. The R chart evaluates the consistency of sample variation
Answer: The Xbar - chart and R-chart plots
The process is not under control since there exist some relatively large deviations in the sample range. Sample 6, 7 and 8 are out of control.
QUESTION THREE
Data Table
Type of Problem
Frequency
CUMULATIVE TOTAL
CUMULATIVE TOTAL
Batteries not included
21
21
42%
Items damaged when received
13
34
68%
Literature is not included in box
9
43
86%
Parts missing
6
49
98%
Unit not working
1
50
100%
Answer: Pareto chart with cumulative % frequency
The cumulative frequency of the two left-most bars is 68%.
QUESTION FOUR
Answer: Mean and standard deviation
Customer
Satisfaction rating
1
4
2
3
3
2
4
5
5
5
6
2
7
1
8
4
9
3
10
4
11
4
12
5
13
3
14
3
15
2
16
1
17
5
18
3
19
4
20
3
21
4
22
2
23
4
24
4
25
3
26
3
27
3
28
2
29
2
30
3
...
Professor
Subject
Date
QUESTION ONE
The product delivery system is a series-parallel system. The state function that is used to assess the reliability of the system is by decomposing the system into respective sub-systems.
The parallel sub-system reliability calculation is through co- product of the individual elements
The parallel subsystem contains two components with identical reliability of (1 – 3/10,000)
Individual reliability = 0.9997
Subsystem reliability R= 1 – (1 – 0.9997)2 = 0.9999
The series sub-system reliability calculation is through product of individual reliabilities
The 15 components in the series sub-system each with a reliability of (1 – 1/10,000)
Individual component reliability = 0.9999
Reliability of the sub-system = (0.9999)15
R = 0.9985
Finally, since the two subsystems are put together in series, the overall reliability is the product of the two sub-systems, (0.9999 . 0.9985) = 0.9985
QUESTION TWO
The Xbar - chart shown in the plot below evaluates the consistency of sample averages by graphing the average of each sample. It is useful at showing the relatively large deviations in the plotted sample average.
The R-chart plots the ranges of each sample. The R chart evaluates the consistency of sample variation
Answer: The Xbar - chart and R-chart plots
The process is not under control since there exist some relatively large deviations in the sample range. Sample 6, 7 and 8 are out of control.
QUESTION THREE
Data Table
Type of Problem
Frequency
CUMULATIVE TOTAL
CUMULATIVE TOTAL
Batteries not included
21
21
42%
Items damaged when received
13
34
68%
Literature is not included in box
9
43
86%
Parts missing
6
49
98%
Unit not working
1
50
100%
Answer: Pareto chart with cumulative % frequency
The cumulative frequency of the two left-most bars is 68%.
QUESTION FOUR
Answer: Mean and standard deviation
Customer
Satisfaction rating
1
4
2
3
3
2
4
5
5
5
6
2
7
1
8
4
9
3
10
4
11
4
12
5
13
3
14
3
15
2
16
1
17
5
18
3
19
4
20
3
21
4
22
2
23
4
24
4
25
3
26
3
27
3
28
2
29
2
30
3
...
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