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Exam 18: Acceptance Sampling Plans

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Question 31

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$\begin{array} { | c | c | c | } \hline n & \begin{array} { c } \text { Producer's } \\\text { Risk } \\( p = \mathrm { AQL } ) \end{array} & \begin{array} { c } \text { Consumer's } \\\text { Risk } \\( p = \mathrm { LTPD } ) \end{array} \\\hline 60 & 0.122 & 0.126 \\80 & 0.191 & 0.048 \\100 & 0.264 & 0.017 \\120 & 0.332 & 0.006 \\\hline\end{array}$ -The quality manager has fixed n = 20 and c = 2 for a single-attribute sampling plan.Given AQL = 0.01 and LTPD = 0.05,what is the producer's risk? Table I.1 is appended to this exam.

A) Between 0.0001 and 0.01
B) Between 0.01 and 0.1
C) Between 0.99 and 0.9999
D) Between 0.9 and 0.99

E) A) and B)
F) C) and D)

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Question 32

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Rectified inspection occurs when all defective items in the lot are replaced with good items if the lot is rejected and any defective items in the samples are replaced if the lot is accepted.

A) True
B) False

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Question 33

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This OC curve represents a sampling plan developed for a lot size of 1000,a sample size of 15,and an acceptance number of 2.The probability of acceptance for each of the first six points appears next to the plotted point.What is the average outgoing quality for an incoming fraction defective of 0.25?

The lot tolerance proportion defective (LTPD)is the customer's desired level of quality.

This OC curve represents a sampling plan developed for a lot size of 500,a sample size of 15,and an acceptance number of 2.The probability of acceptance for each of the first six points appears next to the plotted point.What is the average outgoing quality for an incoming fraction defective of 0.15?

This OC curve represents a sampling plan developed for a lot size of 500,a sample size of 15,and an acceptance number of 2.The probability of acceptance for each of the first six points appears next to the plotted point.What is the average outgoing quality limit?

This OC curve represents a sampling plan developed for a lot size of 1000,a sample size of 15,and an acceptance number of 2.The probability of acceptance for each of the first six points appears next to the plotted point.What incoming fraction defective is associated with the average outgoing quality limit?

Lot tolerance proportion defective (LTPD) can be defined as

A company is developing an acceptance sampling plan to monitor quality.The acceptable quality level (AQL) is 0.01,and a sampling plan having c = 5 is being considered.If a producer's risk of 0.03 is desired,what should be the sample size? Table I.1 is appended to this exam.

A lot of 1,000 items is on the loading dock.A single-sampling plan calls for a sample size of 10.The following table gives the probability of acceptance for the plan over a range of possible quality levels. $\begin{array} { | c | c | } \hline \begin{array} { c } \text { Proportion } \\\text { Defective }\end{array} & \begin{array} { c } \text { Probability of } \\\text { Acceptance }\end{array} \\\hline 0.01 & 0.97 \\\hline 0.02 & 0.85 \\\hline 0.03 & 0.60 \\\hline 0.04 & 0.50 \\\hline 0.05 & 0.24 \\\hline 0.06 & 0.05 \\\hline\end{array}$ What is the average outgoing quality limit for this plan?

________ is the risk that the sampling plan will fail to verify an acceptable lot's quality and thus reject it-a type I error.

A company wants to develop an acceptance sampling plan that keeps the producer's risk at 0.03 or less and the customer's risk at 0.10 or less.The acceptable quality level (AQL) is 0.01,and the lot tolerance proportion defective (LTPD) has been set at 0.10.Which one of the following plans gives us the desired protection? Table I.1 is appended to this exam.

A single-sampling plan has the following performance: $\begin{array} { | c | c | } \hline \begin{array} { c } \text { Proportion } \\\text { Defective }\end{array} & \begin{array} { c } \text { Probability of } \\\text { Acceptance }\end{array} \\\hline 0.01 & 0.99 \\\hline 0.02 & 0.94 \\\hline 0.03 & 0.74 \\\hline 0.04 & 0.5 \\\hline 0.05 & 0.21 \\\hline 0.06 & 0.03 \\\hline\end{array}$ What is the average outgoing quality limit if the sample size is 200 and the lot size is 6,000?

The maximum value of the average outgoing quality over all possible values of the proportion defective is called the ________.

$\begin{array} { | c | c | c | } \hline n & \begin{array} { c } \text { Producer's } \\\text { Risk } \\( p = \mathrm { AQL } ) \end{array} & \begin{array} { c } \text { Consumer's } \\\text { Risk } \\( p = \mathrm { LTPD } ) \end{array} \\\hline 60 & 0.122 & 0.126 \\80 & 0.191 & 0.048 \\100 & 0.264 & 0.017 \\120 & 0.332 & 0.006 \\\hline\end{array}$ -A single-sampling plan by attributes is needed for a purchased component.Given the following information,what is the consumer's risk ?? Table I.1 is above. Sample size = 50 Acceptance number (c) = 3 Acceptance quality level (AQL ) = 0.01 Lot tolerance proportion defective (LTPD) = 0.04

This OC curve represents a single sampling plan conducted on a lot size of 200 with a sample size of 20 and an acceptance number of 1.The y-coordinates of the first few points have been labeled; the x coordinates appear on the x-axis.If the receiving company uses rectified inspection,what is the greatest fraction defective that will enter their production process?

If the sample size is increased and the acceptance level is unchanged,the OC curve will have a higher consumer's risk.

$\begin{array} { | c | c | c | } \hline n & \begin{array} { c } \text { Producer's } \\\text { Risk } \\( p = \mathrm { AQL } ) \end{array} & \begin{array} { c } \text { Consumer's } \\\text { Risk } \\( p = \mathrm { LTPD } ) \end{array} \\\hline 60 & 0.122 & 0.126 \\80 & 0.191 & 0.048 \\100 & 0.264 & 0.017 \\120 & 0.332 & 0.006 \\\hline\end{array}$ -A quality manager has established a sampling plan that calls for a sample size of 50 units and an acceptance number of 1 The supplier has agreed to a contract that calls for an AQL of 0.02 and an LTPD of .07.What is the consumer's risk? Table I.1 is appended to this exam.

________ is the worst level of quality that the customer can tolerate.

$\begin{array} { | c | c | c | } \hline n & \begin{array} { c } \text { Producer's } \\\text { Risk } \\( p = \mathrm { AQL } ) \end{array} & \begin{array} { c } \text { Consumer's } \\\text { Risk } \\( p = \mathrm { LTPD } ) \end{array} \\\hline 60 & 0.122 & 0.126 \\80 & 0.191 & 0.048 \\100 & 0.264 & 0.017 \\120 & 0.332 & 0.006 \\\hline\end{array}$ -A quality manager has established a sampling plan that calls for a sample size of 50 units and an acceptance number of 2.The supplier has agreed to a contract that calls for an AQL of 0.02 and an LTPD of .07.What is the producer's risk? Table I.1 is appended to this exam.