OPSM330Worksheet

7/27/2019 OPSM330Worksheet

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CHAPTER 2

IN-LINE EXERCISES

Match the following dimensions of quality with the examples given:

Performance Printer cartridges that last for 40,000 pages of type

Features A computer that operates at 300 megahertz

Reliability Floor tile made from the most beautiful marbles of Italy

Durability A refrigerator/freezer that includes an automatic ice dispenser and compartmentfor frequently used items

Aesthetics A lawn mower that does not break down for 4 years on average

Match the following dimensions of service quality to the examples given:

Timeliness An architect provides all the blueprints anddocuments necessary to properly construct a building

Completeness Conversations between customers and airlinereservation employee are monitored to observe how

customers are treated

Courtesy A McDonald’s hamburger tastes the same inThailand as it does in Milwaukee, Wisconsin

Consistency The doctor properly diagnoses a patient’s illness

Accessibility A supermarket calls for additional check-out clerkswhen the customer line exceeds three people

Accuracy A sales associate calls another store to find out

where a customer can find an unusual accessory togo with the dress she is purchasing

Responsiveness A university provides distance-learning courses



IN-LINE EXERCISE

Consider the following sets of numbers:Set 1: 3.0, 2.9, 3.1

Set 2: 3.0, 2.0, 4.0

Both sets of numbers average 3.0. Which set has the smaller variation?

IN-LINE EXERCISES

A manufacturer starts production with input of 500 bikes a day, and 90% of them arefinished as good units. Of the defective units, 80% of them can be reworked. What is

the yield?

Yield = (total input)(% good units) + (total input)(1 - % good units)(% reworked)

If the direct manufacturing cost for the bikes in the above problem is $100/bike, and thedefective units can be repaired for an average cost of $20/bike, what is the product cost?

Product cost = [(direct mfg cost/unit)(input) + (rework cost/unit)(reworked units)]/yield

If those same bikes are made in a three stage process with percentage yields from each process of 0.95, 0.97, and 0.99, respectively, what is the yield with input of 500 units?

Y = (input)(% yield1)(% yield2)(% yield3)

If the three-stage process for making bikes has yields at each stage of 0.95, 0.97, and0.99, how many bikes must be input to yield 500 bikes? (Hint: Y is the 500 bikes inthis instance)

Y = (input)(% yield1)(% yield2)(% yield3)



CHAPTER 3

IN-LINE EXERCISE

Indicate whether each of the following measures is an attribute or variable:

i. customers who register complaints or nota. attribute

b. variableii. the diameter of a cylinder

a. attribute b. variable

iii. the weight of a bag of potato chipsa. attribute

b. variableiv. errors or correct words in a typed document

a. attribute

b. variable

IN-LINE EXERCISES

Electrical resistors are sampled every hour for 10 hours. The number of resistors in eachsample is 50. Defects are counted in each of the 10 samples. It is found that the average proportion of defects in the samples is 0.025. Calculate the proportion standarddeviation, then calculate the UCL and LCL using 3-sigma limits.

Students at a university are designing web pages for the university administration.Thousands of pages are being created, so that catalogues, directories, and researchdocuments are all available on-line. A c-chart must be used to set control limits for errors since the total number of possible of errors per file is unknown. Fifty (50) filesare inspected for errors. The total number of errors in all fifty files is 1250. Calculate

the control chart center line, upper control limit, and lower control limit for 3-sigmalimits.



A metal fabricator produces tie rods that should measure 32" long. A control chartmust be constructed for the machine that makes the tie rods. A sample of 5 tie rodsis chosen every hour for 10 hours, and the length of each tie rod is recorded.Construct x-bar and R-Charts using the data below:

Measurements

SAMPLE k 1 2 3 4 5

SampleAverage

SampleRange

1 32.4 33.0 32.1 32.8 32.7 32.60 0.9

2 33.0 32.5 32.1 32.7 32.9 32.64 0.9

3 33.1 32.4 32.5 32.5 32.2 32.54 0.9

4 32.5 32.4 32.6 32.2 32.1 32.36 0.5

5 32.7 32.3 32.2 32.3 32.5 32.40 0.5

6 31.9 32.4 32.3 32.5 32.6 32.34 0.7

7 31.9 31.9 32.5 32.8 32.7 32.36 0.9

8 32.0 31.8 32.6 32.9 32.4 32.34 1.1

Averages: Grand Mean & Range:

Sample Size =

Use the chart in your lecture or textbook to find the following:

R-Chart:

D4 =

D3 =

UCL =

UCL = D4R =

CL = R = CL =LCL = D3R = LCL =

Xbar Chart:

A2 =

UCL =

UCL = Gr. Mean + A2R = CL

CL = Grand Mean

LCL = Gr. Mean - A2R =

LCL =



In an acceptance sampling task, 96 wrenches out of the lot of 1000 will be sampled.The allowable number of defects is 4. If the number of defects found in the sample

is 9, what should the hardware merchant do?

i. Send the sample of 96 back to the supplier and take another sample.ii. Accept the sample of 96 and take another sample.

iii. Send the entire lot of 1000 wrenches back to the supplier.iv. Accept the entire lot of 1000 wrenches.

OPSM330Worksheet

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