You are a state inspector for the Division of Weight and Measures.Your responsib

Question

You are a state inspector for the Division of Weight 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 in bags.The boxes you are checking indicate a 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

here null hypothesis: mean=32

and alternate hypothesis: mean<32

for 0.02 level ; critical value is z=-2.0537

std error =std deviation/(n)1/2 =0.1556

test stat z=(X-mean)/std error =(31.7-32)/0.1556=-1.9285

as test stat z is not in rejection region we can not reject null hypothesis.

we can not conclude  at a .02 level of significance that the boxes of dog food are being under filled

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