Question

The mean weight of a bag of potato chips from Potato Chip Incorporated is 14.75 ounces with a standard deviation of 0.4 ounces. A sample of 100 bags of potato chips has a mean weight of w.
(a) Assuming the weight of potato chip bags is normally distributed, what is the mean and standard deviation of the variable w?
(b) Assuming the weight of potato chip bags has a distribution of unknown shape, what is the mean and standard deviation of the variable w?

Answer 1

Solution:-

Given that,

mean = = 14.75

standard deviation = = 0.4

n = 100

a) The distribution of x is normal distribution.X N ( 14.75, 0.4)

b) The distribution of is approximately normal distribution. N ( 14.75, 0.04)

= = 14.75

= / n = 0.4/ 100 = 0.04