Question
In: Statistics and Probability
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 67.8 inches. What would the probability of seeing this sample mean?
D) Given your probability from part C, what conclusion would you make about the stated value of the population mean of 69.3? Explain your answer.
Solutions
orchestra answered 2 years agoRelated Solutions
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 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 the heights in a male population are normally distributed with mean 70.3 inches and standard...
Assume the heights in a male population are normally distributed
with mean 70.3 inches and standard deviation 4.1 inches. Then the
probability that a typical male from this population is between 5
feet 6 inches and 6 feet tall is (to the nearest three decimals)
which of the following?
a. 0.661
b. 0.514
c. 0.853
d. None of the above
Heights are generally normally distributed. Men have a mean of 69.5 inches and standard deviation 2.4...
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:...
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.
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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