Question

Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 7.9 ounces and a standard deviation of 1.2 ounces.

Suppose Carl bags his potatoes in randomly selected groups of 6. What percentage of these bags should have a mean potato weight between 7.5 and 8.5 ounces? Enter your answer as a percentage rounded to one decimal place.
%

Answer 1

Let denotes the mean weight of 6 randomly selected potatoes.

or

Now,

The percentage of these bags should have a mean potato weight between 7.5 and 8.5 ounces