SOLUTION: The diameters of peaches in a certain orchard are normally distributed with a mean of 3.85 inches and a standard deviation of 0.42 inches. Show all work.
(A) What percentage of
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-> SOLUTION: The diameters of peaches in a certain orchard are normally distributed with a mean of 3.85 inches and a standard deviation of 0.42 inches. Show all work.
(A) What percentage of
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Question 366226: The diameters of peaches in a certain orchard are normally distributed with a mean of 3.85 inches and a standard deviation of 0.42 inches. Show all work.
(A) What percentage of the peaches in this orchard is larger than 3.79 inches?
(B) A random sample of 100 peaches is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 3.79 inches? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The diameters of peaches in a certain orchard are normally distributed with a mean of 3.85 inches and a standard deviation of 0.42 inches. Show all work.
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(A) What percentage of the peaches in this orchard is larger than 3.79 inches?
z(3.79) = (3.79-3.85)/0.42 = -0.1429
P(x > 3.79) = P(z > -0.1429) = 0.5568
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(B) A random sample of 100 peaches is gathered and the mean diameter is calc
ulated. What is the probability that the sample mean is greater than 3.79 inches?
z(3.79) = (3.79-3.85)/[0.42/sqrt(100)] = -1.4286
P(x-bar > 3.79) = P(-1.4286,100) = 0.9234
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Cheers,
Stan H.
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