Question

A particular group of men have heights with a mean of 168 cm and a
standard deviation of 6 cm. Carl had a height of 175 cm.

a.

What is the positive difference between Carl's height and the
mean?

b.

How many standard deviations is that [the difference found in
part (a)]?

c.

Convert Carl's height to a z score.

d.

If we consider "usual" heights to be those that convert to z
scores between minus2 and 2, is Carl's height usual or
unusual?

Answer #1

With a height of
67
in,
Marvin
was the shortest president of a particular club in the past
century. The club presidents of the past century have a mean height
of
75.6
in and a standard deviation of
1.8
in.
a.
What
is the positive difference between
Marvin's
height and the mean?
b.
How many standard deviations is that [the difference found in
part (a)]?
c.
Convert
Marvin's
height to a z score.
d.
If we
consider "usual" heights to...

with a height of 68 in, George was the shortest president of a
particular club in the past century. the club presidents of the
past century have a mean height of 75.1 in and a standard deviation
of 2.6 in.
What is the positive difference between George height and the
mean?
b. How many standard deviations is that[the difference found in
part(a)]?
c. Convert George height to a z score.
d. If we consider “usual" heights to be those that...

1.With a height of 61in,Vincent was the shortest president of a
particular club in the past century. The club presidents of the
past century have a mean height of 62.8 in and a standard deviation
of 2.3 in.
.a.
What is the positive difference between Vincent's height and
the mean?
.b.
How many standard deviations is that [the difference found in
part (a)]?
.c.
Convert Vincent's height to a z score.
d.
If we consider "usual" heights to be those...

Heights of men on a baseball team have a bell-shaped distribution
with a mean of 175 cm and a standard deviation of 7cm. Using the
empirical rule, what is the approximate percentage of the men
between the following values?
a. 168 cm and 182 cm
b. 154 cm and 196 cm
a. _% of them men are between 168 cm and 182 cm (Round to one
decimal place as needed)
b. _% of the men are between 154 cm and...

The heights of men are normally distributed with a mean of
174.12 cm and a standard deviation of 7.10 cm. Find the z-scores of
the following values. (Show work.)
(a) LeBron James at 203 cm.
(b) The tallest living men Sultan Kosen at 251 cm.
(c) The shortest man Chandra Bahadur Dangi at 54.6 cm.
(d) The British Airways max height of cabin crew at 185.4 cm

Heights of men on a baseball team have a bell-shaped
distribution with a mean of 184 cm and a standard deviation of 8
cm.
Using the empirical rule what is the approximate percentage of the
men between the following values
a. 160 cm and 208cm
b. 168 cm and 200 cm

Heights of men on a baseball team have a bell-shaped
distribution with a mean of 185 cm and a standard deviation of 5
cm. Using the empirical rule, what is the approximate percentage
of the men between the following values?
a. 175 cm and 195 cm
b. 180 cm and 190 cm

Heights are generally normally distributed. Men have a mean of
69.5 inches and standard deviation 2.4 inches. Women have a mean of
63.8 inches and standard deviation 2.6 inches. The US Air Force has
a height requirement for their pilots to be between 64 inches and
77 inches.
Make sure you are rounding z-scores properly to two
places.
Part A: Find the two z-scores for women who meet this height
requirement z = (smaller value) and z
= (larger value)
Part B:...

Male Heights: Assume heights and weights are
normally distributed variables with means and standard deviations
given in the table below.
Strata
Mean
Standard Deviation
Mean
Standard Deviation
Height
Height
Weight
Weight
(inches)
(inches)
(pounds)
(pounds)
U.S. Men
69.1
2.9
191
28
U.S. Women
64.0
2.8
145
32
NFL Quarterbacks
76.5
1.8
245
25
Top Female Models
70.0
2.2
115
18
You know a U.S. man who is 78.1 inches tall.
- What is the z-score for his height with respect...

A data set lists weights (lb) of plastic discarded by
households. The highest weight is 5.15 lb, the mean of all of the
weights is x overbarequals2.186 lb, and the standard deviation of
the weights is sequals1.733 lb.
a. What is the difference between the weight of 5.15 lb and the
mean of the weights?
b. How many standard deviations is that [the difference found
in part (a)]?
c. Convert the weight of 5.15 lb to a z score.
d....

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