Question
In: Statistics and Probability
The heights of fully grown trees of a specific species are normally distributed, with a mean...
The heights of fully grown trees of a specific species are normally distributed, with a mean of 57.5 feet and a standard deviation of 5.75 feet. Random samples of size 20 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.
Solutions
orchestra answered 2 years agoRelated Solutions
1. Suppose the heights of fully grown pine trees in the state of Washington have mean...
1. Suppose the heights of fully grown pine trees in the state of
Washington have mean 66 ft and standard deviation 1.2 ft.
What is the probability that the mean height of 36 fully grown
trees selected at random is between 65.5 and 66.5 feet tall? (Round
σ¯x to two decimal places and your answer to four decimal
places.)
2. Let X be a random variable that represents the weights in
pounds (lb) of adult females who are in their...
The heights of pecan trees are normally distributed with a mean of 10 feet and a...
The heights of pecan trees are normally distributed with a mean
of 10 feet and a standard deviation of 2 feet. Show all work. 14.
(a) What is the probability that a randomly selected pecan tree is
between 9 and 12 feet tall? (Round the answer to 4 decimal places)
(b) Find the 80th percentile of the pecan tree height distribution.
(Round the answer to 2 decimal places) (a) For a sample of 36 pecan
trees, state the standard deviation...
The heights of pecan trees are normally distributed with a mean of 10 feet and a...
The heights of pecan trees are normally distributed with a mean
of 10 feet and a standard deviation of 2 feet. Show all work. Just
the answer, without supporting work, will receive no credit. (a)
What is the probability that a randomly selected pecan tree is
between 9 and 12 feet tall? (round the answer to 4 decimal places)
(b) Find the 75th percentile of the pecan tree height distribution.
(round the answer to 2 decimal places) (c) To get...
The heights of pecan trees are normally distributed with a mean of 10 feet and a...
The heights of pecan trees are normally distributed with a mean
of 10 feet and a standard deviation of 2 feet. Show all work. Just
the answer, without supporting work, will receive no credit.
(a) What is the probability that a randomly selected pecan tree
is between 8 and 13 feet tall? (round the answer to 4 decimal
places)
(b) Find the 80th percentile of the pecan tree height
distribution. (round the answer to 2 decimal places)
(c) To get...
Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean...
Tree heights: Cherry trees in a certain orchard have heights
that are normally distributed with mean =μ108 inches and standard
deviation =σ13. (a) What proportion of trees are more than 131
inches tall? (b) What proportion of trees are less than 102 inches
tall? (c) What is the probability that a randomly chosen tree is
between 98 and 100 inches tall? Round the answers to four decimal
places
Cherry trees in a certain orchard have heights that are normally distributed with mean = μ...
Cherry trees in a certain orchard have heights that are normally
distributed with mean = μ 106 inches and standard deviation = σ 17
.
(a) What proportion of trees are more than 109 inches tall?
(b) What proportion of trees are less than 92 inches tall?
(c) What is the probability that a randomly chosen tree is
between 90 and 105 inches tall?
Round the answers to four decimal places.
The heights of men are normally distributed with a mean of 68.6 in and a standard...
The heights of men are normally distributed with a mean of 68.6
in and a standard deviation of 2.8 in. If a man is randomly
selected, find the probability that his height is at least 71
in.
6. The heights of women are normally distributed with a mean of 65 in. and a...
6. The heights of women are normally distributed with a mean of
65 in. and a standard deviation of 2.5 in. The heights of men are
normally distributed with a mean of 70 in. and a standard deviation
of 3.0 in. Relative to their peers, who would be considered taller:
A 68 in. woman or a 74 in. man?
7. The lengths of adult blue whales are normally distributed
with a mean of 30 meters and a standard deviation of...
The weights of ripe watermelons grown at a farm are normally distributed with a mean of...
The weights of ripe watermelons grown at a farm are normally
distributed with a mean of 12.2 pounds and a standard deviation of
1.2 pounds.
What is the probability that a watermelon weighs more than 13.5
pounds? (round to 3 decimal places)
What is the probability that a watermelon weighs less than 12
pounds? (round to 3 decimal places)
What is the probability that a watermelon weighs between 11.3
and 12 pounds? (round to 3 decimal places)
What is the...
The height of maple trees are distributed normally with a mean of 31 meters and a...
The height of maple trees are distributed normally with a mean
of 31 meters and a standard deviation of 4 meters.
a) What is the probability of a tree being taller than 33
meters? Represent this graphically as well as numerically.
b) A group of 20 trees is selected at random. What is the
probability that the average height of these 20 trees is more than
33 meters? Represent this graphically as well as numerically.
c) A group of 20...
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