Refer to Exercise 3.181. Use Table 1, Appendix 3, to

Chapter 3, Problem 182SE

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QUESTION:

Refer to Exercise 3.181. Use Table 1 , Appendix 3 , to construct the operating characteristic curves for the following sampling plans:
a. \(n=10, a=0\).
b. \(n=10, a=1\).
c. \(n=10, a=2\).
For each sampling plan, calculate
 (lot acceptance) for \(p=0, .05, .1, .3, .5\), and  Our intuition suggests that sampling plan (a) would be much less likely to accept bad lots than plans (b) and (c). A visual comparison of the operating characteristic curves will confirm this intuitive conjecture.

Equation transcription:

Text transcription:

n=10, a=0

n=10, a=1

n=10, a=2

p=0, .05, .1, .3, .5

Questions & Answers

QUESTION:

Refer to Exercise 3.181. Use Table 1 , Appendix 3 , to construct the operating characteristic curves for the following sampling plans:
a. \(n=10, a=0\).
b. \(n=10, a=1\).
c. \(n=10, a=2\).
For each sampling plan, calculate
 (lot acceptance) for \(p=0, .05, .1, .3, .5\), and  Our intuition suggests that sampling plan (a) would be much less likely to accept bad lots than plans (b) and (c). A visual comparison of the operating characteristic curves will confirm this intuitive conjecture.

Equation transcription:

Text transcription:

n=10, a=0

n=10, a=1

n=10, a=2

p=0, .05, .1, .3, .5

ANSWER:

Answer:

Step 1 of 1:

By referring to Exercise  Use Table 1, Appendix 3, to construct the operating characteristic curve for the following sampling plans:

a.)

b.)

c.)

For each sampling plan, we need to calculate  for

A random variable  is said to have a binomial probability distribution based on  trials with success probability  if and only if

………….(1)

Hence,

……….(2)

Case a: 

Using Table 1, Appendix 3 we can directly write the value of  for the respective value of  and  please refer it.

0

0.05

0.10

0.30

0.50

1.0

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