Show solutions Fill out the chart below. It is information needed to construct an OC curve and AOQ curve for the following sampling plan: ...

Given: 

Size of lot (N)=1900

Sample Size (n) =125

Acceptance Number (c)=2

Proportion defective (p) can be calculated as :

For np=1.8,

 

For np=4.2,

 

For np=6.0,

 

So these values of p completes the Column 1 for p.

Now column 2 can be obtained by multiplying p values with 100.

Now let's fill the column 3 (np) values,

For p=0.0016,

 

For p=0.008,

 For p=0.012,

For p=0.0224,

For p=0.0416,

...

Given: 

Size of lot (N)=1900

Sample Size (n) =125

Acceptance Number (c)=2

Proportion defective (p) can be calculated as :

For np=1.8,

 

For np=4.2,

 

For np=6.0,

 

So these values of p completes the Column 1 for p.

Now column 2 can be obtained by multiplying p values with 100.

Now let's fill the column 3 (np) values,

For p=0.0016,

 

For p=0.008,

 For p=0.012,

For p=0.0224,

For p=0.0416,

For p=0.0512,

Now let's calculate the Probability of acceptance by the cumulative Poisson formula,

We have to calculate P_a for each value of p,

For p=0.016

For p=0.008,

 

 

For p=0.012,

Similarly we can calculate P_a for all values of p, which are shown in the attached image.

Now let' calculate AOQ,

If 

Then, AOQ 

Now let's calculate AOQ,

For p=0.0016,

For p=0.008,

Similarly we can calculate AOQ, for other values of p.

Please refer to the attached image, where all calculations are shown.