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 5% underweight. The foreman samples 60 bags with each shipment and if the bags average more than 5% underweight, the whole shipment is returned to the supplier. Determine the value for the standard error of the proportion.
A) 0.02814
B) 0.01504
C) 0.00792
D) 0.08898
E) 0.1234

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 sampled. In this case, we have 60 bags and we do not know how many are underweight, so we cannot calculate the sample proportion. Therefore, we cannot calculate the standard error of the proportion.

Alpha Corporation Receives a Shipment of Flour Every Morning from Their