Five numbers define a double sampling plan: n1, n2, C1, C2, and c3. The plan is imple- mented in the following way: One draws an initial sample of size n1 and determines the number of defectives in the sample. If the number of defectives in the sample is less than or equal to c1, the lot is accepted. If the number of defectives in the sample is larger than c2, the lot is rejected. However, if the number of defectives is larger than c1 but less than or equal to c2, another sample of size n, is drawn. If the number of defec- tives in the combined samples is less than or equal to c3, the lot is accepted. If not, the lot is rejected. Most double sampling plans assume that c3 = c2. We will make that assumption as well from this point on. A double sampling plan is obviously more difficult to construct and more difficult to implement than a single sampling plan. However, it does have some advantages over single plans. First, a double sampling plan may give similar levels of the consumer's and the producer's risks but require less sampling in the long run than a single plan. Also, there is the psychological advantage in double sampling plans of providing a sec- ond chance before rejecting a lot.

Five numbers define a double sampling plan: n1, n2, C1, C2, and c3. The plan is imple- mented in the following way: One draws an initial sample of size n1 and determines the number of defectives in the sample. If the number of defectives in the sample is less than or equal to c1, the lot is accepted. If the number of defectives in the sample is larger than c2, the lot is rejected. However, if the number of defectives is larger than c1 but less than or equal to c2, another sample of size n, is drawn. If the number of defec- tives in the combined samples is less than or equal to c3, the lot is accepted. If not, the lot is rejected. Most double sampling plans assume that c3 = c2. We will make that assumption as well from this point on. A double sampling plan is obviously more difficult to construct and more difficult to implement than a single sampling plan. However, it does have some advantages over single plans. First, a double sampling plan may give similar levels of the consumer's and the producer's risks but require less sampling in the long run than a single plan. Also, there is the psychological advantage in double sampling plans of providing a sec- ond chance before rejecting a lot.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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