Potatoes - Samples: Assume the weights of Farmer Carl\'s potatoes are normally d

Question

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 1.2 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 decimal places.

______

Explanation / Answer

(a) The mean weight = 48/6 =8

(b) If 6 potatoes are selected at random, the chance that mean weight is less than mean in the bag= probability of mean weight is greater than mean in the bag which is equalt to 0.5

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