SOLUTION: The diameters of peaches in a certain orchard are normally distributed with a mean of 4.01 inches and a standard deviation of 0.44 inches. Show all work.
(A) What percentage of
Algebra ->
Probability-and-statistics
-> SOLUTION: The diameters of peaches in a certain orchard are normally distributed with a mean of 4.01 inches and a standard deviation of 0.44 inches. Show all work.
(A) What percentage of
Log On
Question 633743: The diameters of peaches in a certain orchard are normally distributed with a mean of 4.01 inches and a standard deviation of 0.44 inches. Show all work.
(A) What percentage of the peaches in this orchard is larger than 3.94 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 3.94 inches?
You can put this solution on YOUR website! The diameters of peaches in a certain orchard are normally distributed with a mean of 4.01 inches and a standard deviation of 0.44 inches. Show all work.
-----------------------
(A) What percentage of the peaches in this orchard is larger than 3.94 inches?
Find the z-value of 3.94
Find the probability of z being greater than that z-value.
Ans: 0.5632
===========================
(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 3.94 inches?
z(3.94) = (3.94-4.01)/[0.44/sqrt(100)] = -1.5910
P(x-bar > 3.94) = P(z > -1.5910) = 0.9442
============
Cheers,
Stan H.
============
(