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I'm currently contracting a company and have run across a situation that I'm unfamiliar with. So, I turn to you all for help.
We are sampling for weight of a product and using a “weight per 10” (wt/10) value for inspection. It’s unclear why this practice was first started, but that’s not the issue right now.
I’ve currently been given reams of test data in a “weight per 1” (or each). I need to compare the statistics on the wt/1 samples as part of my evaluation of the test samples. To do this however, I need to convert the existing wt/10 specification to a wt/1 specification. Obviously, I can’t just divide by 10 as the probability distribution of the 10 units will come into play when getting the average which would be read as the 10 unit group. I believe this can be solved using the central limit theorem, but when I was looking at it I’m not directly seeing how to apply it into a simple equation for conversion.
For discussion purposes, let’s say the wt/10 specification is:
Min: 190
Nom: 195
Max:200
Making the theoretical target for each unit being 19.5. What would be the spec range for the individual parts?
Any help would be most appreciated.
We are sampling for weight of a product and using a “weight per 10” (wt/10) value for inspection. It’s unclear why this practice was first started, but that’s not the issue right now.
I’ve currently been given reams of test data in a “weight per 1” (or each). I need to compare the statistics on the wt/1 samples as part of my evaluation of the test samples. To do this however, I need to convert the existing wt/10 specification to a wt/1 specification. Obviously, I can’t just divide by 10 as the probability distribution of the 10 units will come into play when getting the average which would be read as the 10 unit group. I believe this can be solved using the central limit theorem, but when I was looking at it I’m not directly seeing how to apply it into a simple equation for conversion.
For discussion purposes, let’s say the wt/10 specification is:
Min: 190
Nom: 195
Max:200
Making the theoretical target for each unit being 19.5. What would be the spec range for the individual parts?
Any help would be most appreciated.
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