Question

**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 to
other U.S. men? **Round your answer to 2 decimal
places.**

**-** Would his height be considered unusual for a
U.S. man? Why?

- Would his height be considered unusual with respect to NFL quarterbacks? Why?

Answer #1

1) *z*-score for his height with respect to other U.S.
men=(X-mean)/standard deviation =(78.1-69.1)/2.9

=3.10

2)

Would his height be considered unusual for a U.S. man? :Yes ; since absolute value of z score is higher than 2 ; the score should be considered unusual with respect to other U.S. men

3)

*z*-score for his height with respect to NFL
quarterbacks= (78.1-76.5)/1.8 =0.89

since absolute value of z score is less than 2 ; the score should not be considered unusual with respect to NFL quarterbacks

Use the data found in this chart to answer the following
questions.
Strata
Mean Height (inches)
Standard Deviation Height (inches)
Mean Weight (pounds)
Standard Deviation Weight (pounds)
U.S. Men
69.3
2.8
191
28
U.S. Women
64
2.8
145
32
NFL Quarterbacks
76.5
1.8
245
25
Top Female Models
70
2.2
115
18
For the given heights of U.S. men, calculate the zz-score, and
comment on whether the height would be unusual for a U.S. man.
(a) 74.7
zz-score:
Unusual
Not...

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.

The heights of adult men in America are normally distributed,
with a mean of 69.1 inches and a standard deviation of 2.68 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.1 inches and a standard
deviation of 2.58 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two
decimal places)?
z =
b) If a woman is 5 feet 11 inches tall, what is...

The heights of adult men in America are normally distributed,
with a mean of 69.1 inches and a standard deviation of 2.67 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.8 inches and a standard
deviation of 2.56 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two
decimal places)?
z =
b) If a woman is 5 feet 11 inches tall, what is...

assume that women’s heights are normally distributed with a mean
of 63.6 inches and a standard deviation of 2.5 inches. If 90 women
are randomly selected, find the probability that they have a mean
height between 62.9 inches and 64.0 inces.
extensive step by step of how to solve this plus equation
explanation

The heights of adult men in America are normally distributed,
with a mean of 69.1 inches and a standard deviation of 2.69 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.5 inches and a standard
deviation of 2.57 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two
decimal places)?
b) What percentage of men are SHORTER than 6 feet 3 inches?
Round to...

The heights of men are normally distributed with a mean of 69
inches and a standard deviation of 2.8 inches. What height
separates the lowest 14% of heights?

1. Men’s heights are normally distributed with a mean 69.5in and
standard deviation 2.4in. Women’s heights are normally distributed
with mean 63.8 in and standard deviation 2.6 in.
a) What percentage of women are taller than 68 inches tall?
b) The U.S. Airforce requires that pilots have heights between
64in. And 77in. What percentage of adult men meet the height
requirements?
c) If the Air Force height requirements are changed to exclude
only the tallest 3% of men and the...

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.)

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.

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