The weight of corn chips dispensed into a 14-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 14.5 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 14.6 ounces.
Accepted Solution
A:
The probability that a normally distributed dataset with a mean, μ, and statndard deviation, σ, exceeds a value x, is given by
Given that the
weight of corn chips dispensed into a 14-ounce bag by the dispensing
machine is a normal distribution with a
mean of 14.5 ounces and a standard deviation of 0.2 ounce.
If 100 bags of chips are randomly selected the probability that the mean weight of these 100 bags exceeds 14.6 ounces is given by