Statistic Homework

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statistic_assignment.doc

Must show all work.

1

2

3

4

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7

TOTAL

Points Possible

9

9

9

11

24

14

24

100

Points Earned

Chapter 8

1. If each sample taken has 500 units, and the average proportion nonconforming is 0.034, what is the upper and lower control limits for the p-chart?

2. If you sample 450 parts per day from a daily production of 12,000 parts, what is the upper and lower control limits of an np chart if the average percentage of good parts is 97.5%?

3. If you inspect 50 automobile windshields and find 266 nonconformities, determine the upper and lower control limits for the c-charts.

Chapter 9

4. If the Lot size is 3000, the sample size if 140, and the probability of accepting the lot 0.798, what is the ATI for this quality level shipment?

5. Fill out the chart below. It is information needed to construct an OC curve and AOQ curve for the following sampling plan: N=1900 n=125 c=2

DO NOT DRAW THE CURVES.

P

100p

N

np

Pa

AOQ

0.0016

125

0.008

125

0.012

125

125

1.8

0.0224

125

125

4.2

0.0416

125

125

6.0

0.0512

125

Chapter 11

6. The system has three components in series and have a system reliability of 83.79%.

Component A has a reliability of 90%

Component B has a reliability of 98%

What is the reliability of component C?

7. Solve the reliability of the following system:

0.92

0.92

0.98

0.95

0.90

0.95

0.99

0.98