The amount of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified aspossessing a normal distribution with a mean of 16.5 ounces and a standard deviation of 0.2 ounce. Suppose100 bags of chips were randomly selected from this dispensing machine. Find the probability that the samplemean weight of these 100 bags exceeded 16.6 ounces.
A) approximately 0
B) 0.1915
C) 0.3085
D) 0.6915

Question

Quizplus · Accepted Answer

The standard error of the mean is 0.2/sqrt(100) = 0.02. The z-score for 16.6 is (16.6-16.5)/0.02 = 5. A z-score of 5 corresponds to a probability of approximately 0, meaning it's extremely unlikely for the sample mean to exceed 16.6 ounces.

The Amount of Corn Chips Dispensed into a 16-Ounce Bag