Question
In: Statistics and Probability
9. The heights of a population of 100,000 men are normally distributed with a mean of...
9. The heights of a population of 100,000 men are normally
distributed with a mean of 68 inches
and standard deviation of 3. About how many men have heights
(a) below 64 inches?
(b) above 74 inches?
(c) between 62 and 74 inches?
10. Assume that the scores on the Graduate Record Exam (GRE) are
normally distributed with a
mean of 500 and a standard deviation of 115.
(a) Find the percentage of students who scored at least 600.
(b) A graduate school requires a GRE score in the 95th percentile
for admission. What actual
score is required?
Solutions
orchestra answered 2 years agoRelated Solutions
The heights of men are normally distributed with a mean of 68.6 in and a standard...
The heights of men are normally distributed with a mean of 68.6
in and a standard deviation of 2.8 in. If a man is randomly
selected, find the probability that his height is at least 71
in.
It is estimated that heights of adult men are normally distributed with a mean of 70...
It is estimated that heights of adult men are normally
distributed with a mean of 70 inches and a standard deviation 3.3
inches. In one state, the law requires a person to be 68 inches or
taller to become a fire fighter.
What proportion of adult men will meet this height requirement
for becoming a fire fighter in this state? .7291
A person who was denied to become a fire fighter learned that
his height was at the 20th percentile....
Assume that the heights of men are normally distributed with a mean of 70.7 inches and...
Assume that the heights of men are normally distributed with a
mean of 70.7 inches and a standard deviation of 2.8 inches. If 64
men are randomly selected,
Find:-
(a) Describe the sampling distribution of x. Sketch the
distribution.
(b) Find the probability that they have a mean height greater
than 71.7 inches.
(c) Find the probability that they have a mean height between
68.5 and 73 inches.
(d) Find the 95th percentile of the heights of men.
Assume that the heights of men are normally distributed with a mean of 68.1 inches and...
Assume that the heights of men are normally distributed with a
mean of 68.1 inches and a standard deviation of 2.8 inches. If 64
men are randomly selected, find the probability that they have a
mean height greater than 69.1 inches.
(Round your answer to three decimal places.)
Assume heights of men are normally distributed with a mean of 69.3 inches with a standard...
Assume heights of men are normally distributed with a mean of
69.3 inches with a standard deviation of 3.4 inches. The U.S. Air
Force requires that pilots have heights between 64 in. and 77
in.
A) What is the probability that a random sample of 10 males will
have a mean height greater than 6 feet (72 inches)?
B) What height for males represents the 90th percentile?
C) Suppose a random sample of 32 males has a mean height of...
Assume heights of men are normally distributed with a mean of 69.3 inches with a standard...
Assume heights of men are normally distributed with a mean of
69.3 inches with a standard deviation of 3.4 inches. The U.S. Air
Force requires that pilots have heights between 64 in. and 77
in.
A) What is the probability that a random sample of 10 males will
have a mean height greater than 6 feet (72 inches)?
B) What height for males represents the 90th percentile?
C) Suppose a random sample of 32 males has a mean height of...
The heights of adult men in America are normally distributed, with a mean of 69.4 inches...
The heights of adult men in America are normally distributed,
with a mean of 69.4 inches and a standard deviation of 2.66 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 2.59 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 South African men are Normally distributed with a mean of 69 inches and...
The heights of South African men are Normally distributed with a
mean of 69 inches and a standard deviation of 4 inches. Reference:
Ref 6-1 If a random sample of three South African men were selected
at random, what is the probability that the sample mean height is
greater than 72 inches?
A.0.2266 B.0.0122
C. 0.0968 D.0.9032
The heights of adult men in America are normally distributed, with a mean of 69.5 inches...
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 64.7 inches and a standard
deviation of 2.53 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 69.5 inches...
The heights of adult men in America are normally distributed,
with a mean of 69.5 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 64.4 inches and a standard
deviation of 2.53 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...
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