Question

The average height of an adult male in the United States is 70
inches, with a

standard deviation of 3 inches. Assume that male heights are
Normally distributed.

Approximately what proportion of males are expected to be under 76 inches? To aid your answer, hand-draw to sketch a Normal

curve, and shade in the area under the Normal density curve the question represents. Add dashed lines at the mean +/- 1SD, 2SD and 3SD. Then calculate the proportion asked about in the first sentence. You shouldn't need to use R

to perform any calculations for this question. Report the probability as a number between 0 and 100 rounded to one decimal place.

Answer #1

The detailed solution is given in the pictures below.

Please go through them carefully specially the notations.

Hope the solution helps. Thank you.

(Please do comment if further help is required)

3)
The height of an adult male in the United States is
approximately normally distributed with a mean of 69.3 inches and a
standard deviation of 2.8 inches.
Find the percentile P90 for the heights of adult
males in the United States.
Provided your answer in inches, rounded to 2 decimal
places.

1.The height of an adult male in the United States is
approximately normally distributed with a mean of 69.3 inches and a
standard deviation of 2.8 inches. Find the percentile P76 for the
heights of adult males in the United States.
Round Answer to 4 decimal places.
2. The height of an adult male in the United States is
approximately normally distributed with a mean of 69.3 inches and a
standard deviation of 2.8 inches. Assume that such an individual...

1)
The height of an adult male in the United States is
approximately normally distributed with a mean of 69.3 inches and a
standard deviation of 2.8 inches.
Assume that such an individual is selected at random. What is
the probability that his height will be greater than 67.8
inches?
Round your answer to 4 decimal places.

The height of an adult male is known to be normally distributed
with a mean of 65 inches and a standard deviation of 3.25 inches.
The height of the doorway such that only 17 percent of the adult
males cannot pass through it without having to bend is:
a) 1.8
b) about 72
c) about 80
d) about 76
e) about 68

The height of the JP adult male follows normal
distribution with the mean = 75 inches and with the SD =5
inches, if I random choose an adult male,
(1) What is the probability to see the height of the selected
people is at most (≤) equal to 85 inches.
(2) What is the probability to see this people’s height is
between 60 and 80 inches?

According to the National Health Survey, the heights of adult
males in the United States are normally distributed with mean 69.0
inches and a standard deviation of 2.8 inches.
(a) What is the probability that an adult male chosen at random
is between 66 and 72 inches tall? (Round your answer to five
decimal places.)
(b) What percentage of the adult male population is more than 6
feet tall? (Round your answer to three decimal places.)

Adult male height (X) follows (approximately) a normal
distribution with a mean of 69 inches and a standard deviation of
2.8 inches. Using a statistical package, we find the following the
value for x that satisfies P(X < x)
P(X < x) = 0.005, x = 61.78768
P(X < x) = 0.9975, x = 76.8597
How tall must a male be, in order to be among the tallest 0.25%
of males? Round your answer to ONE decimal place.

According to a study done by De Anza students, the height for
Asian adult males is normally distributed with an average of 66
inches and a standard deviation of 2.5 inches. Suppose one Asian
adult male is randomly chosen. Let X = height of the
individual.
1. Find the probability that the person is between 64 and 68
inches. (Round to four decimal places) and Sketch the Graph.
2. Would you expect to meet many Asian adult males over 72...

Question 1 Suppose the average height of American adult males is
5 feet 10 inches (70 inches) and the standard deviation is 5
inches. If we randomly sample 100 men: What will the expected value
of the average height of that sample be? (i.e. the mean of the
sampling distribution) What will the standard deviation of the
average height in that sample be? (i.e. the standard deviation of
the sampling distribution) How big of a sample would we need to...

2. Men who wish to join the new United States Space Force can't
be too tall or too short. Suppose the Space Force wants to make
sure that 95 percent of men are eligible on the basis of height.
(Strictly speaking, I don't know what this percentage is but let's
suppose it is 95%.) Assume male heights are normally distributed
with a mean of 69 inches and a standard deviation of 2.8 inches,.
Answer the following questions.
a) If the...

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