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 35 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) 0.0368
B) 0.00095
C) 0.0014
D) 0.0471
E) 0.00386

Question

Quizplus · Accepted Answer

The standard error of the proportion is calculated as the square root of (p * q / n), where p is the proportion of bags that are underweight, q is the proportion of bags that are not underweight, and n is the sample size. In this case, p = 0.05, q = 0.95, and n = 35. Therefore, the standard error of the proportion is sqrt(0.05 * 0.95 / 35) = 0.0368.

Alpha Corporation Receives a Shipment of Flour Every Morning from Their