The weight of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 16.5 ounces and a standard deviation
Of 0.2 ounce. Suppose 100 bags of chips are randomly selected. Find the probability that the mean
Weight of these 100 bags exceeds 16.6 ounces.

Question

Quizplus · Accepted Answer

The standard error of the mean for 100 bags is 0.02 (0.2/√100). The z-score for 16.6 ounces is (16.6-16.5)/0.02 = 5. A z-score of 5 corresponds to a very small probability, making the probability of the mean weight exceeding 16.6 ounces approximately 0.

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