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 between 71 and 72 inches?

Answer #1

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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?

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?

Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 71 inches and standard deviation 4
inches. If a random sample of twenty-eight 18-year-old men is
selected, what is the probability that the mean height x is between
70 and 72 inches?

Suppose that the heights of adult men in the United States are
normally distributed with a mean of 69 inches and a standard
deviation of
3 inches. What proportion of the adult men in United States are
at least 6 feet tall? (Hint: 6 feet =72 inches.) Round your answer
to at least four decimal places.

A large study of the heights of 920 adult men found that the
mean height was 71 inches tall. The standard deviation was 7
inches. If the distribution of data was normal, what is the
probability that a randomly selected male from the study was
between 64 and 92 inches tall? Use the 68-95-99.7 rule (sometimes
called the Empirical rule or the Standard Deviation rule). For
example, enter 0.68, NOT 68 or 68%.

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

Men heights are assumed to be normally distributed with mean 70
inches and standard deviation 4 inches; what is the probability
that 4 randomly selected men have an average height less than 72
inches?

Assume that the heights of men are normally distributed with a
mean of 70.8 inches and a standard deviation of 4.5 inches. If 45
men are randomly selected, find the probability that they have a
mean height greater than 72 inches.
(Round
your answer to three decimal
places.)

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