Potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 9.0 ounces and a standard deviation of 1.1 ounces. He bags his potatoes in groups of 6.You buy a bag and the total weight is 48 ounces. Here we determine how lucky or unlucky you are.

(a) What is the mean potato weight in your bag of 6? Enter your answer to 1 decimal place.
ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is less than the mean found in your bag. Round your answer to 4 decimalplaces.


(c) Which statement best describes your situation?

This is not particularly unusual because the mean weight in your bag is only 1 ounce below the mean of all Carl's potatoes. This is an unusually small amount of potatoes. You are unlucky because the probability of getting a bag weighing less than yours is only about1.3%. You got extremely unlucky because the probability of getting a bag weighing less than yours is about 0.01%.Yougot lucky with such a generous amount of potato your bag.

Answer rating: 100% (QA)

a The mean potato weight in your bag of 6 is 48 6 80 ounces b Th... View the full answer