Deck 24: Extension 10: Acceptance Sampling

Question 1

A double-sampling plan requires a second sample of exactly twice the size of the first sample.

Answer 1

False

Question 2

An alternative to acceptance sampling is 100% inspection.

Answer 2

True

Question 3

Acceptance sampling plans must specify the lot size, the sample size, and the acceptance/rejection criteria.

Answer 3

True

Question 4

The ability of an acceptance sampling plan to discriminate between good and bad lots is described by its operating characteristic curve.

Question 5

The Lot tolerance percent defective (LTPD) is associated with a consumer's risk.

Question 6

In a double-sampling plan, a second sample may not be taken if the results of the first sample are conclusive.

Question 7

A good sampling plan will occasionally reject a lot with very good quality.

Question 8

Due to the nature of acceptance sampling, the average outgoing quality limit (AOQL) occurs when the incoming fraction defective reaches a maximum.

Question 9

Acceptance sampling is most useful when the cost consequences of passing defectives are low.

Question 10

Flexible acceptance sampling revises the sampling plan in response to actual results.

Question 11

Acceptance sampling is applied to batches of items during the production process.

Question 12

The AQL determines the percentage level of defects in batches that are acceptable.

Question 13

In a single-sampling plan, the entire lot, or batch of items, is accepted or rejected based upon only one specified sized sample.

Question 14

The Acceptable quality level (AQL) is associated with a producer's risk.

Question 15

Acceptance sampling is a form of inspection applied to items during an ongoing process.

Question 16

In a double-sampling plan, a second sample is taken if the results of the first sample are inconclusive.

Question 17

Acceptance sampling procedures are applicable for inspection both before and after production.

Question 18

The purpose of acceptance sampling is to decide whether a batch of items satisfies pre-determined standards.

Question 19

Acceptance sampling procedures can be applied to both attribute and variables inspection.

Question 20

Sampling plans are designed considering both the cost and time required for the inspection.

Question 21

A lot can be "accepted" or "rejected" in a double-sampling plan:

A)after one sample is taken.
B)after two samples are taken.
C)only after two samples are taken.
D)All of the above are correct.
E)Only a and b are correct.

Question 22

A firm that makes plastic wrapping material takes random samples of 50 items from each lot before it is sent to a customer.Lots contain 2,000 items each.Any lot with more than one defective is subjected to 100 percent inspection, and any defectives are replaced with good ones.
(A) Construct the OC curve for this plan.
(B) Construct the AOQ curve for this plan.What is the approximate AOQ limit?

Question 23

Shipments of bowling balls are sampled before delivery to a warehouse.Lots of 600 balls are checked, using 10 observations from each lot.Any lot with more than one defective is rejected.Calculate values for the operating characteristic curve for this sampling plan.

Question 24

A Type II (beta) error occurs when:

A)A bad lot is accepted.
B)A good lot is rejected.
C)A bad lot is rejected.
D)A good lot is accepted.
E)none of the above

Question 25

The purpose of acceptance sampling is to:

A)estimate process quality
B)estimate lot quality
C)detect and eliminate defectives
D)decide if a lot meets predetermined standards
E)accept samples of products

Question 26

An AOQ curve shows:

A)the maximum quality
B)average outgoing quality relative to incoming quality
C)how well a sampling plan can discriminate between good and bad lots
D)the actual quality level
E)"good" quality

Question 27

The AQL indicates:

A)acceptable quality level
B)average quality level
C)actual quality level
D)aggregate quality level
E)approximate quality level

Question 28

Sampling plans typically specify:

A)lot size
B)sample size
C)number of samples to be taken
D)acceptance/rejection criteria
E)all of the above

Question 29

In acceptance sampling, the level of inspection automatically adjusts to the quality of lots being inspected, assuming that

A)A single-sampling plan is used.
B)Double-sampling plans are used.
C)Multiple-sampling plans are used.
D)"Rejected" lots are subjected to 100 percent inspection.
E)none of the above

Question 30

A lot can be "accepted" or "rejected" in a multiple-sampling plan:

A)after one sample is taken
B)after two samples are taken
C)after three or more samples are taken
D)all of the above
E)none of the above

Question 31

"Average outgoing quality" curves show the average quality level of inspected and un-inspected lots for any given incoming fraction defective.

Question 32

An OC curve shows:

A)average outgoing quality
B)the average outgoing quality limit
C)out of control criteria
D)operating control
E)probability of acceptance versus lot quality

Question 33

The ability of a sampling plan to discriminate between lots of high quality and lots of low quality is described by:

A)a Gantt chart
B)an operating characteristic curve
C)an average outgoing quality curve
D)a process control chart
E)a range chart

Question 34

Which one of the following would not be a reason for using acceptance sampling?

A)high cost of passing defectives.
B)large number of items.
C)destructive testing.
D)boredom and fatigue that would accompany complete inspection.
E)low cost of passing defectives.

Question 35

If he uses an acceptance sampling plan of n = 5 and c = 2, what will be the average outgoing quality (AOQ) for batches with 40% defectives?

A)0.1270
B)0.2730
C)0.3174
D)0.6826
E)0.7270

Question 36

Acceptance sampling plans might call for selection of:

A)one or more samples
B)a variable number of samples based on actual results
C)random inspections
D)outside audits by testing agencies
E)100% inspection

Question 37

If the cost of replacing a defective DVD disk once it has been shipped is $2.00, while the cost of 100% inspection prior to shipment is $.40 each, at what point is he indifferent between 100% inspection and shipment without inspection?

A)0% defectives
B)2% defectives
C)5% defectives
D)20% defectives
E)30% defectives

Question 38

A manufacturer purchases large quantities of metal brackets from several suppliers.The brackets are shipped in lots of 8,000 each.Random samples of 40 brackets are taken from each lot, and the lot is rejected if any defectives are discovered.Rejected lots are subjected to 100 percent inspection, and any defectives are replaced with good brackets.Determine the average outgoing quality limit for this sampling plan.

Question 39

If he uses an acceptance sampling plan of n = 5 and c = 2, what is the probability that, if this batch is 40% defective, it will be rejected and receive 100% inspection prior to shipment?

A)0.1270
B)0.2730
C)0.3174
D)0.6826
E)0.7270

Question 40

A Type I (alpha) error occurs when:

A)A bad lot is accepted.
B)A good lot is rejected.
C)A bad lot is rejected.
D)A good lot is accepted.
E)none of the above

Question 41

If this lot were 5% defective, what type error would be possible? For an acceptance sampling plan with c = 2, what would be the risk of this error?

Question 42

For an acceptance sampling plan with c = 2, what will be the average outgoing quality for lots with 5% defectives? 10%? 15%? 20%?

Question 43

If the cost of replacing a defective Z-box game once it has been shipped is $5.00, while the cost of complete (100%) inspection prior to shipment is $.20 each, at what point is he indifferent between complete inspection and shipment without inspection?

A)0% defectives
B)4% defectives
C)5% defectives
D)9% defectives
E)22% defectives

Question 44

If he uses an acceptance sampling plan of n = 8 and c = 1, what will be the average outgoing quality (AOQ) for lots with 10% defectives?

A).0813
B).0962
C).1869
D).7318
E).8131

Question 45

If, based on her acceptance sample, she decides to ship this lot without inspection, which type error would be possible?

A)Type I
B)Type II
C)both Type I and Type II error
D)neither Type I nor Type II error
E)cannot be determined without further data

Question 46

If he uses an acceptance sampling plan of n = 8 and c = 1, what is the probability that, if this lot is 10% defective, it will be accepted for shipment without inspection?

A).9619
B).9428
C).8131
D).4305
E).1869

Question 47

If the cost of replacing a defective pizza once it has been shipped is $5.00, while the cost of complete (100%) inspection prior to shipment is 30 cents per pizza, what is the point of indifference between complete inspection and shipment without inspection?

A)1.67% defectives
B)3% defectives
C)5% defectives
D)6% defectives
E)16.7% defectives

Question 48

If he uses an acceptance sampling plan of n = 20 and c = 1, what will be the average outgoing quality (AOQ) for batches with 15% defectives?

A)0.0263
B)0.1237
C)0.1756
D)0.8244
E)0.9737

Question 49

If this lot were 20% defective, what type error would be possible? For an acceptance sampling plan with c = 2, what would be the risk of this error?

Question 50

If n = 20 and c = 2, what is the probability that, if this lot were 5% defective, it would be accepted for shipment without inspection? 10% defective? 15%? 20%?

Question 51

If she uses an acceptance sampling plan of n = 10 and c = 2, what is the probability that, if this lot is 10% defective, it will be accepted for shipment without inspection?

A)0.9298
B)0.0702
C)0.8189
D)0.2198
E)0.5995

Question 52

If the cost of replacing a defective poster once it has been shipped is $10.00, while the cost of complete 100% inspection prior to shipment is $.50 per poster, at what point is she indifferent between complete inspection and shipment without inspection?

A)5%
B)10%
C)12%
D)20%
E)25%

Question 53

If he uses an acceptance sampling plan of n = 20 and c = 1, what is the probability that, if this batch is 15% defectives, it will be rejected and completely inspected prior to shipment?

A)0.0263
B)0.1237
C)0.1756
D)0.8244
E)0.9737

Question 54

What is the point of indifference between 100 percent inspection and shipment without inspection?

Question 55

If she uses an acceptance sampling plan of n = 10 and c = 2, what will be the average outgoing quality (AOQ) for lots with 20% defectives?

A)0.13556
B)0.20000
C)0.23630
D)0.58434
E)0.32484

Question 56

If he uses an acceptance sampling plan of n = 8 and c = 1, what is the probability that, if this lot is 15% defective, it will be rejected and completely inspected prior to shipment?

A).8948
B).8131
C).6572
D).5033
E).3428

Question 57

If, based on his acceptance sample, he decides to ship this batch without inspection, which type error would be possible?

A)none
B)producer's error
C)Type I error
D)Type II error
E)both Type I and Type II error

Question 58

If, based on his acceptance sample, he decides to ship this batch without inspection, which type error would be possible?

A)none
B)producer's error
C)Type I error
D)Type II error
E)both Type I and Type II error

Question 59

If the indifference point between complete inspection and shipment without inspection is 12% defectives, and she decides to sample 15 posters (n = 15), what is the maximum number of sample defectives (c) for which this lot would be accepted for shipment without further inspection?

A)0 defectives
B)1 defective
C)2 defectives
D)3 defectives
E)4 defectives

Question 60

If n = 20 and c = 2, what is the probability that, if this lot were 5% defective, it would be rejected and completely inspected prior to shipment? 10% defective? 15%? 20%?

Question 61

A firm uses acceptance sampling to evaluate batches of inputs.Ideally, the defect rate would be no more than 3.5%.The firm knows that on occasion, batches with higher defect rates will be accepted.However, if the defect rate reaches 7%, the firm would like there to be very little chance of that batch being accepted.This value, 7%, is the firm's ______.

Question 62

A firm uses acceptance sampling to evaluate batches of inputs.Ideally, the defect rate would be no more than 3.5%.The firm knows that on occasion, batches with that defect rate or better might be rejected.However, if the defect rate is less than or equal to 3.5%, the firm would like there to be very little chance of that batch being rejected.This value, 3.5%, is the firm's ______.

Question 63

If the value for Average Outgoing Quality increases, this means that __________ defective units are being passed on.

Question 64

Suppose a batch is of unacceptable quality.There's a 10% chance that it will be accepted.Thus, ________ is 10%.

Question 65

Suppose a batch is of acceptable quality.There's a 10% chance that it will be rejected.Thus, ________ is 10%.