Question

Assume that the heights of men are normally distributed with a mean of 70.8 inches and a standard deviation of 4.5 inches. If 45 men are randomly selected, find the probability that they have a mean height greater than 72 inches.

(Round

your answer to three decimal

places.)

Answer #1

Solution :

Given that ,

mean = = 70.8

standard deviation = = 4.5

n = 45

= 70.8

= / n = 4.5 / 45 = 0.67

P( >72 ) = 1 - P( <72)

= 1 - P[( - ) / < (72-70.8) /0.67 ]

= 1 - P(z <1.79 )

Using z table

= 1 - 0.9633

= 0.0367

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.

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.

Assume that the heights of men are normally distributed with a
mean of 69.3 inches and a standard deviation of 3.5 inches. If 100
men are randomly selected, find the probability that they have a
mean height greater than 70.3 inches.

15. Assume that the heights of men are normally distributed with
a mean of 70 inches and a standard deviation of 3.5 inches. If 100
men are randomly selected, find the probability that they have a
mean height greater than 71 inches. A. 9.9671

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 women are normally distributed with a
mean of 63.6 inches and a standard deviation of 2.5 inches. a) Find
the probability that if an individual woman is randomly selected,
her height will be greater than 64 inches. b) Find the probability
that 16 randomly selected women will have a mean height greater
than 64 inches.

Men heights are assumed to be normally distributed with mean 70
inches and standard deviation 4 inches; what is the probability
that 4 randomly selected men have an average height less than 72
inches?

Assume that women's heights are normally distributed with a mean
of 45.7 inches and a standard deviation of 2.25 inches. If 900
women are randomly selected, find the probability that they have a
mean height between 45 inches and 45.6 inches.

Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 66 inches and standard deviation 2
inches. (a) What is the probability that an 18-year-old man
selected at random is between 65 and 67 inches tall? (Round your
answer to four decimal places.) (b) If a random sample of fourteen
18-year-old men is selected, what is the probability that the mean
height x is between 65 and 67 inches? (Round your answer to four
decimal places.)

Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 65 inches and standard
deviation 4 inches.
(a) What is the probability that an 18-year-old man selected at
random is between 64 and 66 inches tall? (Round your answer to four
decimal places.)
(b) If a random sample of eleven 18-year-old men is selected, what
is the probability that the mean height x is between 64
and 66 inches? (Round your answer to four decimal
places.)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 12 minutes ago

asked 38 minutes ago

asked 42 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago