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) 0.12264
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 underweight bags divided by the total number of bags in the sample. In this case, the sample proportion is 60/60 = 1. Therefore, the standard error of the proportion is sqrt(1(1-1)/60) = 0.12264.

Alpha Corporation Receives a Shipment of Flour Every Morning from Their