Question

The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.65 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 2.57 inches.

a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

c) Who is relatively taller? The 5 foot 11 inch American woman or The 6 foot 3 inch American man

Can anyone show me how to solve this on a TI-83 plus calculator?

Answer #1

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The heights of adult men in America are normally distributed
with a mean of 69.5 inches and a standard deviation of 2.65 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 69.3 inches and a standard deviation of 2.63 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 2.54 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 69.7 inches and a standard deviation of 2.65 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.2 inches and a standard
deviation of 2.55 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 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...

Comparing observations from different populations: The heights
of adult men in America are normally distributed, with a mean of
69.3 inches and a standard deviation of 2.65 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 (75 inches tall), what is
his "z-score"? (round to two decimal places)
b) If a woman is...

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 adult men in America are normally distributed,
with a mean of 69.2 inches and a standard deviation of 2.62 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.6 inches and a standard
deviation of 2.59 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score?
z =
b) What percentage of men are SHORTER than 6 feet 3 inches? Round
to nearest tenth...

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 69.3 inches and a standard deviation of 2.62 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.3 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) What percentage of men are SHORTER than 6 feet 3 inches?...

The heights of adult men in America are normally distributed,
with a mean of 69.8 inches and a standard deviation of 2.64 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.4 inches and a standard
deviation of 2.54 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two
decimal places)?
z =
b) What percentage of men are SHORTER than 6 feet 3 inches?...

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