Question
In: Statistics and Probability
Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9...
Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviation of 1.1 ounces. (a) Carl only wants to sell the best potatoes to his friends and neighbors at the farmer's market. According to weight, this means he wants to sell only those potatoes that are among the heaviest 5%. What is the minimum weight required to be brought to the farmer's market? Round your answer to 2 decimal places. ounces (b) He wants to use the lightest potatoes as ammunition for his potato launcher but can only spare about 5% of his crop for such frivolities. What is the weight limit for potatoes to be considered for ammunition? Round your answer to 2 decimal places. ounces (c) Determine the weights that delineate the middle 95% of Carl's potatoes from the others. Round your answers to 2 decimal places.
Solutions
orchestra answered 1 year agoRelated Solutions
Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9...
Potatoes: Suppose the weights of Farmer Carl's
potatoes are normally distributed with a mean of 9 ounces and a
standard deviation of 0.9 ounces. Round your answers to 4
decimal places.
(a) If one potato is randomly selected, find the probability
that it weighs less than 7 ounces.
(b) If one potato is randomly selected, find the probability that
it weighs more than 12 ounces.
(c) If one potato is randomly selected, find the probability that
it weighs between 7...
Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean...
Potatoes - Samples: Suppose the weights of
Farmer Carl's potatoes are normally distributed with a mean of 8.1
ounces and a standard deviation of 1.1 ounces.
(a) If 5 potatoes are randomly selected, find the probability
that the mean weight is less than 9.6 ounces.
Round your answer to 4 decimal places.
(b) If 8 potatoes are randomly selected, find the probability that
the mean weight is more than 8.7 ounces.
Round your answer to 4 decimal places.
Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean...
Potatoes - Samples: Suppose the weights of Farmer Carl's
potatoes are normally distributed with a mean of 8.0 ounces and a
standard deviation of 1.2 ounces. If 5 potatoes are randomly
selected, find the probability that the mean weight is less than
9.1 ounces. Round your answer to 4 decimal places.
Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean...
Potatoes - Samples: Suppose the weights of Farmer Carl's
potatoes are normally distributed with a mean of 8.0 ounces and a
standard deviation of 1.1 ounces.
a) If 5 potatoes are randomly selected, find the probability
that the mean weight is less than 9.5 ounces. Round your answer to
4 decimal places.
(b) If 7 potatoes are randomly selected, find the probability
that the mean weight is more than 8.6 ounces. Round your answer to
4 decimal places.
Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean...
Potatoes - Samples: Suppose the weights of Farmer Carl's
potatoes are normally distributed with a mean of 8.2 ounces and a
standard deviation of 1.2 ounces.
(a) If 4 potatoes are randomly selected, find the probability
that the mean weight is less than 9.5 ounces. Round your answer to
4 decimal places.
(b) If 6 potatoes are randomly selected, find the probability
that the mean weight is more than 9.5 ounces. Round your answer to
4 decimal places.
Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean...
Potatoes - Samples: Suppose the weights of
Farmer Carl's potatoes are normally distributed with a mean of 8.0
ounces and a standard deviation of 1.3 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.
%
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.5 ounces...
Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 8.5 ounces and a standard deviation of
0.8 ounces. Round your answers to 4 decimal
places.
(a) If one potato is randomly selected, find the probability
that it weighs less than 7 ounces.
(b) If one potato is randomly selected, find the probability that
it weighs more than 10 ounces.
(c) If one potato is randomly selected, find the probability that
it weighs between 7 and...
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces...
Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 8.0 ounces and a standard deviation of
1.1 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.
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.2 ounces...
Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 8.2 ounces and a standard deviation of
1.3 ounces.
(a) If 4 potatoes are randomly selected, find the probability
that the mean weight is less than 10.0 ounces.
Round your answer to 4 decimal places.
(b) If 6 potatoes are randomly selected, find the probability
that the mean weight is more than 9.6 ounces.
Round your answer to 4 decimal places.
Potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean...
Potatoes - Samples: Assume the weights of Farmer Carl's potatoes
are normally distributed with a mean of 8.0 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 42 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. (b) If 6
potatoes are randomly selected,...
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