In: Operations Management
Explain the following sampling plan in easily understood terms n 1 = 125 c 1 = 3 n 2 = 150 c 2 = 6 n 3 = 200 c 3 = 12
Solution:-
Sampling provides a detailed plan where one or more samples are taken from a lot to obtain information that likely takes decisions. These are basically hypothesis tests that determine the acceptance or rejection of a lot.
Examples:- Surveys, polls, etc.
To easily understand the sample plan, it is explained below:-
Given that,
n1 = 125, n2 = 150, n3 = 200, c1 = 3 , c2 = 6, c3 =
12
Here
n = sample size
c = acceptance number.
Then,
n1 = sample size of sample 1 = 125
n2 = sample size of sample 2 = 150
n3 = sample size of sample 3= 200
c1 = acceptance number of sample 1 = 3
c2 = acceptance number of sample 2 = 6
c3 = acceptance number of sample 3 = 12
By taking a random sample,
Sample 1 =125 and c1= 3 , If the defective items are 3 does not
exceed 3, then accept the lot but if it exceeds 3 then reject.
Sample 2 =150, c2 = 6, If the combined number of defective items does not exceed 6, then accept the lot but if it exceeds then rejects.
Sample 3 = 200, c3= 12, If the combined number of the defective
samples does not exceed 12 then accept the lot, and if it exceeds
then reject.
Therefore in this way sampling plans inspect a lot of items and make decisions regarding accepting or rejecting it.