Question

STAT301

Suppose that we are told that the heights of adult males in a particular region of the world are normally distributed with a mean of 70 inches and a standard deviation of 2 inches.

- Approximately
**what proportion of adult males are taller than 73 inches?** **What proportion of adult males**are between 72 and 73 inches?**What height corresponds to**the point where 20% of all adult males are greater than this height?

Answer #1

Do this one by hand. Suppose we measured the height of
10,000 men and found that the data were normally
distributed with a mean of 70.0 inches and a
standard deviation of 4.0 inches. Answer the
questions and show your work:
A. What
proportion of men can be expected to have heights less
than: 66, 70, 72, 75 inches?
B. What
proportion of men can be expected to have heights greater
than: 64, 66, 73, 78 inches?
C. What
proportion...

1. (20 pts) Do this one by
hand. Suppose we measured the height of 5,000 men
and found that the data were normally distributed with a
mean of 70.0 inches and a standard
deviation of 4.0 inches. Answer the questions using Table
A and show your work:
What proportion of men can be expected to have heights less than
66 inches? Less than 75 inches?
What proportion of men can be expected to have heights greater
than 64 inches? Greater...

Please do all three questions
1. Find P (0.2 < Z < 1.63) where Z is the standard normal
variable.
2. Find x such that P(X > x) = 0.2 where X is normally
distributed with mean 1 and standard deviation 2.6
3. The distribution of heights of adult males is normally
distributed with mean 65 inches and standard deviation 2.3 inches.
Answer the following.
(a) What minimum height is taller than 70% of all adult
males?
(b) What two...

The heights of adult males are known to be normally distributed
with a mean of 70 inches and a standard deviation of 2 inches.
a) Find the probability that a randomly selected adult male will
be taller than 75 inches?
(b) If three adult males are picked at random, find the
probability that at least one of the males is taller than 75
inches.

Do this one by hand. Suppose we measured the height of 5,000 men
and found that the data were normally distributed with a mean of
70.0 inches and a standard deviation of 4.0 inches. Answer the
questions using Table A and show your work:
What proportion of men can be expected to have heights greater
than 73 inches?

The distribution of heights of adult men is approximately normal
with mean 69 inches and standard deviation of 2.5
inches.
a. What percent of men are shorter than 66 inches?
b. The distribution of heights of adult men is approximately
normal with mean 69 inches and standard deviation of 2.5 inches.
What is the probability that a man is taller than 74 inches?
c.. What is the probability that a man is between 70 and 72
inches tall?

Heights of adult males are approximately normally distributed
with a mean of 66.6 inches and a standard deviation of 1.9 inches.
If a sample of 50 adult males are chosen, what is the probability
their mean height will be between 67 inches and 67.4 inches?
Report your answer to four decimal places.

Assume that the average height of males is 70 inches with a
standard deviation of 2.5 inches and are normally distributed. What
percent of the population is taller than 75 inches? How did you get
that?
Assume that the average height of males is 70 inches with a
standard deviation of 2.5 inches and are normally distributed.
What's the probability of randomly selecting a person taller than
75 inches? How did you get that without using the empirical rule?
Why...

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...

The distribution of adult men’s heights is approximately
normally distributed with mean 175.0 cm and standard deviation 6.40
cm. State answers rounded to one place of decimal. [4] a)
Approximately what percentage of men are taller than 183 cm? b)
What height is such that approximately 90% of men are taller than
this height?

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