You are a state inspector for the Division of Weights and Measures. Your respons
ID: 3233035 • Letter: Y
Question
You are a state inspector for the Division of Weights and Measures. Your responsibility is to be sure the net weight found on all containers is correctly reflected on the label. You are inspecting ABC Company who makes dry dog food in boxes and bags. The boxes you are checking indicate a net weight of 32 ounces. You check a sample of 200 boxes and found the average content to be 31.7 ounces. The standard deviation allowed for this type of product is 2.2 ounces. Can you conclude at a .02 level of significance that the boxes of dog food are being under filled?Explanation / Answer
Z = (X-Mean)/(Sigma/sqrt(n)) = (31.7-32)/(2.2/sqrt(200) = -1.9284
Calculating p-value from tables, we get p-value as 0.026903.
This is not significant at 0.02 level of significance. We cannot conclude that the boxes of dog food are being under filled.
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