In: Operations Management
You have just received a batch of goods from your supplier. You
plan to sample the batch in order to determine whether you will
accept it or not. For this product, your contract with the supplier
specifies that 3.0% is an acceptable quality level and the LTPD is
18.0%. The contract further specifies that the buyer’s risk should
be 2.5% and the seller’s risk should be 1.0%.
Given these parameters for your sampling plan, what is the least
number of defective items you would have to find in the sample so
as to reject the batch?
Here
p1 = 0.03
p2 = 0.18
a=0.01
b=0.025
= 1/6 = 0.166
We can see from the above table that for degrees of freedom 14, the values of chi-square for 0.99 and 0.025 is close to 0.166
2(c+1)=14, c= 6
Thus the least no. of defective items = 7