Alpha Corporation receives a shipment of flour every morning from their supplier. The flour is in 40 kg bags and Alpha will reject any shipment that is more than 4% underweight. The foreman samples 40 bags with each shipment and if the bags average more than 4% underweight, the whole shipment is returned to the supplier. Determine the value for the standard error of the proportion.
A) 0.03098
B) 0.00096
C) 0.00064
D) 0.02771
E) 0.0250

Question

Quizplus · Accepted Answer

The standard error of the proportion is given by the formula sqrt(p(1-p)/n), where p is the population proportion and n is the sample size. In this case, we do not know the population proportion, but we can estimate it using the sample proportion. The sample proportion is the number of bags that are underweight divided by the total number of bags in the sample. In this case, we have 40 bags in the sample and we do not know how many of them are underweight. However, we do know that the shipment will be rejected if the bags average more than 4% underweight. This means that the population proportion of underweight bags must be less than 0.04. We can use this to estimate the standard error of the proportion as follows:sqrt(p(1-p)/n) = sqrt(0.04(1-0.04)/40) = 0.03098Therefore, the correct answer is A.

Alpha Corporation Receives a Shipment of Flour Every Morning from Their