Question
In: Statistics and Probability
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 40s. X has mean μ= 139 lbs and standard deviation σ= 10 lbs. An adult female in her 40s that weighs above 143 is considered overweight.
What is the probability that 35 adult females in their 40s have a mean weight over 143 lbs? (Round σ¯x to two decimal places and your answer to four decimal places.)
Solutions
orchestra answered 1 year agoRelated Solutions
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.
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 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...
Diameters of mature Jeffrey Pine Trees are normally distributed with a mean diameter of 22 inches...
Diameters of mature Jeffrey Pine Trees are normally distributed
with a mean diameter of 22 inches and a standard deviation of 6
inches. (Round your answers to four decimal places)
a. Find the probability that a randomly selected Jeffrey Pine
tree has a diameter greater than 30 inches.
b. Find the probability that a randomly selected Jeffrey Pine
tree has a diameter no more than 15 inches.
c. Find the tree diameter that defines the 60th percentile.
d. If 20...
Suppose that the heights of male students at a university have a normal distribution with mean...
Suppose that the heights of male students at a university have a
normal distribution with mean = 65 inches and standard deviation =
2.0 inches. A randomly sample of 10 students are selected to make
up an intramural basket ball team.
i) What is the mean (mathematical expectation) of xbar?
ii) What is the standard deviation of x bar?
iii) What is the probability that the average height (x bar) of
the team will exceed 69 inches?
iv) What is...
Gymnosperms such as Pine Trees have: Flowers that attract pollinators Only one kind of cone, which...
Gymnosperms such as Pine Trees have:
Flowers that attract pollinators
Only one kind of cone, which are male
Both male and female cones
Which of these is a Eudicot?
Cactus
Palm Tree
Lily
Most Grasses
In plants, what is the advantage of sexual reproduction
(instead of asexual reproduction)?
It can happen out of water
It creates more nutrient molecules for the developing
embryo
It produces genetic diversity
It can happen in water
The main function of Xylem is:
To protect...
In a random sample of 8 residents of the state of Washington, the mean waste recycled...
In a random sample of 8 residents of the state of Washington,
the mean waste recycled per person per day was 1.9 pounds with a
standard deviation of 0.29 pounds. Determine the 80% confidence
interval for the mean waste recycled per person per day for the
population of Washington. Assume the population is approximately
normal. Step 2 of 2: Construct the 80% confidence interval. Round
your answer to one decimal place. Lower end__________ Upper
end______________
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