Question

The weight of potato chips in a medium-size bag is stated to be 10 ounces the amount that the packaging machine puts in these bags is believed to have a normal model with mean 10.2 and standard deviation 0.12 ounces. What's the probability that the mean weight of a 24-bag case of potato chips is below 10 ounces?

Answer 1

Answer:

The probability that the mean weight of a 24-bag case of potato chips is below 10 ounces is approximately 0.

Step-by-step explanation:

Let X = weight of potato chips in medium size bag.

The random variable X follows a Normal distribution with mean, μ = 10.2 ounces and standard deviation, σ = 0.12 ounces.

A sample of n = 24 bags of chips is selected.

Compute the probability that the mean weight of these 24 bags is less than 10 ounces as follows:

$P(\bar X$

Thus, the probability that the mean weight of a 24-bag case of potato chips is below 10 ounces is approximately 0.