Question

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?

Answer #1

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 between
71 and 72 inches?

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...

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...

Suppose for the same 5,000 men, we also
measured their weight. Suppose the data were again normally
distributed. The mean is 160.0
lbs., and the standard deviation is 20.0
lbs. Suppose the correlation between height and weight is
r = +.61. Use the ‘shortcut’ formulas to
answer the questions and show your work:
What is your best guess for the height of a man who weighs 150
lbs?

Assume the heights of men are normally distributed, with mean 73
inches and standard deviation 4 inches. If a random sample of nine
men is selected, what is the probability that the mean height is
between 72 and 74 inches? (Use 3 decimal places.)

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?

Assume that the heights of men are normally distributed with a
mean of 66.8 inches and a standard deviation of 6.7 inches. If 64
men are randomly selected, find the probability that they have a
mean height greater than 67.8 inches.

Assume that the heights of men are normally distributed with a
mean of 69.3 inches and a standard deviation of 3.5 inches. If 100
men are randomly selected, find the probability that they have a
mean height greater than 70.3 inches.

15. Assume that the heights of men are normally distributed with
a mean of 70 inches and a standard deviation of 3.5 inches. If 100
men are randomly selected, find the probability that they have a
mean height greater than 71 inches. A. 9.9671

Assume that the heights of men are normally distributed with a
mean of 68.1 inches and a standard deviation of 2.1 inches. If 36
men are randomly selected, find the probability that they have a
mean height greater than 69.1 inches. Round to four decimal
places.

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