The weight of corn chips dispensed into a 24-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 24.5 ounces and a standard deviation of 0.2 ounce. What proportion of the 24-ounce bags contain more than the advertised 24 ounces of chips?
A) .9938
B) .4938
C) .0062
D) .5062

Question

Quizplus · Accepted Answer

The proportion of the 24-ounce bags that contain more than the advertised 24 ounces of chips is the area under the normal distribution curve to the right of 24 ounces. Using the standard normal distribution (z-distribution), we can convert the value of 24 ounces to a z-score:z = (24 - 24.5) / 0.2 = -2.5The area to the right of z = -2.5 is 0.9938, which is the proportion of the 24-ounce bags that contain more than the advertised 24 ounces of chips.

The Weight of Corn Chips Dispensed into a 24-Ounce Bag