weights of Farmer Carl's potatoes are nor 1.1 ounces. He bags his potatoes in grou ow lucky or unlucky you are. What is the mean potato weight in your b f 6 potatoes are randomly selected, find bag. Round your answer to 4 decimal plac Which statement best describes your situa You got extremely unlucky because the proba This is not particularly unusual because the n

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question 8 a,b,c

**QUESTION 8**

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.  
[Answer Box]

(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.  
[Answer Box]

(c) Which statement best describes your situation? Choose a, b, c, or d  
[Answer Box]

a. You got extremely unlucky because the probability of getting a bag weighing less than yours is about 0.01%.

b. This is not particularly unusual because the mean weight in your bag is only 1 ounce below the mean of all Carl's potatoes. 

c. This is an unusually small amount of potatoes. You are unlucky because the probability of getting a bag weighing less than yours is only about 1.3%.

d. You got lucky with such a generous amount of potato your bag.
Transcribed Image Text:**QUESTION 8** 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. [Answer Box] (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. [Answer Box] (c) Which statement best describes your situation? Choose a, b, c, or d [Answer Box] a. You got extremely unlucky because the probability of getting a bag weighing less than yours is about 0.01%. b. This is not particularly unusual because the mean weight in your bag is only 1 ounce below the mean of all Carl's potatoes. c. This is an unusually small amount of potatoes. You are unlucky because the probability of getting a bag weighing less than yours is only about 1.3%. d. You got lucky with such a generous amount of potato your bag.
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