Mathematical calculation for ISE-530 (Quality Management)
QUESTION 1
A university administered the SERVQUAL survey to its customers as a way to assess its current position in the market. On the basis of 80 responses, the following averages were computed for the tangibles construct.
Item Number
- Average Perception
Average Expectation
1
2.0
4.1
2
3.6
4.7
3
4.9
3.4
4
4.8
5.6
What is the difference for the tangibles dimension? (Give your answer using 3 decimal places)
QUESTION 2
In “house of quality” quality function deployment (QFD) analysis, if a particular customer requirement has a strong association with a technical requirement, an importance of 2, a target value of 4, and a sales point value of 1. Calculate the absolute weight of this customer requirement.
QUESTION 3
A system is composed of three components. Two of the items are in parallel and have reliabilities of 0.97 and 0.77. The third item has a reliability of 0.86 and this item is in series with the first combination. What is the overall system reliability? (Give your answer using 3 decimal places)
QUESTION 4
A system has an availability of 0.87 and a mean time to repair of 22 hours. What is the mean time between failures? (Give your answer rounded to the nearest integer)
QUESTION 5
What is the Taguchi constant for a device that costs $ 291 to repair and a tolerance of plus or minus 9 mm with a mean squared deviation from the target of 0.2? (Give your answer using 3 decimal places)
QUESTION 6
Calculate the number of classes if there are 238 observations in a data set. (Give your answer rounded to the nearest integer)
QUESTION 7
What is the reliability of a product with a failure rate of 0.006 per operating hour and a useful life of 118 hours? (Give your answer using 3 decimal places)
QUESTION 8
A system is to be composed of 6 identical components in series. What is the lowest reliability component that can be used in order to have an overall system reliability of 0.90? (Give your answer using 3 decimal places)
QUESTION 9
The producers of the Yugo automobile periodically inspect samples of 80 hoods for dents and scratches. A single flaw in a hood renders it unsuitable for installation in one of their fine automobiles. The results of the last 10 samples are shown.
What is the center line for the np chart? (Give your answer using 3 decimal places)
QUESTION 10
77 defibrillators are tested for 73 hours per machine. Of all the machines tested, 10 experience malfunctions during the test. What is the failure rate for the machines? (Give your answer using 5 decimal places)
QUESTION 11
A producer of contact lenses regularly takes samples of 100 lenses and inspects them for scratches. If a lens has a single scratch, it cannot be sold. The results of 10 samples are shown.
What is the average proportion defective? (Give your answer using 3 decimal places)
Sample #
1
2
3
4
5
6
7
8
9
10
# Scratched
15
10
3
8
12
12
4
17
9
16
QUESTION 12
What is the system availability for something that has a mean time between failures of 91 hours and needs an average of 11 hour to repair when it does fail? (Give your answer using 3 decimal places)
QUESTION 13
A producer of contact lenses regularly takes samples of 100 lenses and inspects them for scratches. If a lens has a single scratch, it cannot be sold. The results of 10 samples are shown.
What is the upper 3-sigma control limits of P-Chart? (Give your answer using 3 decimal places)
Sample #
1
2
3
4
5
6
- 7
8
9
10
# Scratched
10
- 1
19
4
8
7
2
- 9
4
13
QUESTION 14
Cletus Inc. plans to overhaul the cafeteria menu and has formed a four-person team to evaluate alternatives. The team identifies four criteria and their corresponding percentage weights. Option A has ranks as shown in the table below:
Criteria
- Percentage Weight
Option A Rank
Price
0.25
3
Taste
- 0.30
1
Texture
0.10
1
Nutrition
- 0.35
3
What is the importance score sum for option A? (Give your answer using 2 decimal places)
QUESTION 15
A parks and recreation worker counts the number of paint drips on each standard size park bench. The results from the last 10 benches are shown.
If the Parks Department decides to make a c chart, what should the upper 3-sigma control limits be? (Give your answer using 3 decimal places)
- Bench #
1
2
3
4
5
- 6
7
8
9
10
# Drips
14
5
- 21
19
16
17
24
7
- 18
21
QUESTION 16
The Taguchi constant for flooring materials is known to be $ 15 /cm sq. and the cost to repair them is $ 125. What is the tolerance interval? (Give your answer using 2 decimal places)
QUESTION 17
A 50-volt battery must be between 55 and 45 volts when it leaves the factory. Two hundred samples of batteries have yielded the following data: average charge of 42 volts with a standard deviation of 2.1 volts. What is the upper process capability index? (Give your answer using 2 decimal places)
QUESTION 18
The Taguchi constant for flooring materials is known to be $ 58 /cm sq. and the tolerance is 25 plus or minus 0.16. What is the quality loss function for losses incurred as a result of deviation from the target? (Give your answer using 2 decimal places)
QUESTION 19
Cletus Inc. plans to overhaul the cafeteria menu and has formed a four-person team to evaluate alternatives. The team identifies four criteria and their respective percentage weights as shown in the table below:
Criteria
Percentage Weight
Price
0.27
Taste
0.24
Texture
0.02
Nutrition
What is the percentage weight for the Nutrition criterion? (Give your answer using 2 decimal places)
QUESTION 20
A parks and recreation worker counts the number of paint drips on each standard size park bench. The results from the last 10 benches are shown.
If the Parks Department decides to make a c chart, what should the center line be? (Give your answer using 3 decimal places)
Bench #
1
2
3
4
5
6
7
8
9
10
# Drips
10
20
8
19
2
9
14
17
18
6
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