# Statistical Quality Control-Acceptance Sampling by Attributes (ISS (Statistical Services) Statistics Paper IV): Questions 1 - 3 of 3

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## Question number: 1

» Statistical Quality Control » Acceptance Sampling by Attributes

### Describe in Detail

What is Type –I Error? What is type-II error? What is probability of rejecting a lot which contains acceptable quality level known as?

### Explanation

Type I error— rejecting a lot that is good.

When the null hypothesis is true and we reject it, it is known as type I error.

Producer’s risk is the probability of rejecting a good lot considering it as a bad lot by the consumer. Hence, Producer’s Risk is also known as Type I error.

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## Question number: 2

» Statistical Quality Control » Acceptance Sampling by Attributes

### Describe in Detail

a) What is the small percentage of defects that consumers are willing to accept?

b) What is upper limit of the percentage of defective items consumers are willing to tolerate?

c) What is probability that a lot will be accepted that contains a greater number of defects than the LTPD limit known as?

### Explanation

a) The small percentage of defects that consumers are willing to accept is known as Acceptance Quality level (AQL).

If is a lot with relatively small fraction defective, that we do not wish to reject then

P (rejecting a lot of quality ) = 0.05 Or P (Accepting a lot of quality ) = 0.95

Consumers are willing to accept this small percentage o

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## Question number: 3

» Statistical Quality Control » Acceptance Sampling by Attributes

### Describe in Detail

a) What is ASN?

b) What is Single Sampling Plan?

c) How are lots selected in sequential sampling?

### Explanation

a) The expected value of sample size required for coming to a decision whether to accept or reject a lot in an acceptance- rejection sampling inspection plan is called ASN. The curve obtained on plotting ASN against p is called the ASN curve.

b) In this sampling plan, the decision to accept or reject the lot is based on a single sample. Select a

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