Question

Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviation of 0.8 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 99% of Carl's potatoes from the others. Round your answers to 2 decimal places. from to ounces

Answer #1

Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 8 ounces and a standard deviation of 1.3
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 25%.
(a) What is the minimum weight required to be brought to the
farmer's market? Round your answer to 2 decimal places....

Potatoes: Suppose the weights of Farmer Carl's
potatoes are normally distributed with a mean of 8 ounces and a
standard deviation of 0.9 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
25%. What is the minimum weight required to be brought to the
farmer's market? Round your answer to 2 decimal
places....

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.
%

Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 7.9 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 9.3 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 8.5 ounces.
Round your answer to 4 decimal places.

Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 8.1 ounces and a standard deviation of
1.2 ounces.
(a) If 5 potatoes are randomly selected, find the probability
that the mean weight is less than 9.8 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 9.4 ounces.
Round your answer to 4 decimal places.

Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 7.8 ounces and a standard deviation of
1.2 ounces.
(a) If 5 potatoes are randomly selected, find the probability
that the mean weight is less than 8.9 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 9.2 ounces.
Round your answer to 4 decimal places.

Potatoes - Samples: Assume the weights of
Farmer Carl's potatoes are normally distributed with a mean of 7.0
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 36 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...

Potatoes: Suppose the weights of Farmer Carl's
potatoes are normally distributed with a mean of 8.5 ounces and a
standard deviation of 1.2 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...

Potatoes: Suppose the weights of Farmer Carl's
potatoes are normally distributed with a mean of 8 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...

oes: Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 9.5 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 12 ounces. (c) If one
potato is randomly selected, find the probability that it weighs
between 7...

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