Question

Average height of men is normally distributed with mean height of 160 cm and standard deviation of 5 cm. If a sample of 9 men are randomly selected from this population, find the probability that the mean is between 155 cm and 160 cm. Question 20 options: 0.3412 0.50 0.0013 0.4987 0.5821

Answer #1

Given,

= 160 , = 5

using central limit theorem,

P( < x) = P(Z < x - / ( / sqrt(n ) ) )

So,

P(155 < < 160) = P( < 160) - P( < 155)

= P(Z < 160 - 160 / (5 / sqrt(9) ) ) - P( Z < 155 - 160 / (5 / sqrt(9) ) )

= P(Z < 0) - P(Z < -3)

= 0.5 - 0.0013

= **0.4987**

Weights of men are normally distributed with a mean of 189 lb
and a standard deviation of 39 lb. If 20 men are randomly selected,
find the probability that they have weights with a mean between 200
lb and 230 lb.

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?

The mean height of adult men is about 175 centimeters (cm) with
standard deviation 7 cm. The mean height of adult women is about
160 cm with standard deviation 6 cm.
If a man and a woman are both 166.5 cm tall, which person’s
height is more rare with respect to other people of the same sex?
How do you know?
8. Public health statistics indicate that 26% of adults in the
US smoke cigarettes.
(a) Sketch the sampling distribution...

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.

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.

The mean of a normally distributed data set is 112, and the
standard deviation is 18.
a) Use the Empirical Rule to find the probability
that a randomly-selected data value is greater than 130.
b) Use the Empirical Rule to find the probability
that a randomly-selected data value is greater than 148.
A psychologist wants to estimate the proportion of people in a
population with IQ scores between 85 and 130. The IQ scores of this
population are normally distributed...

1. A population is normally distributed with mean 19.1 and
standard deviation 4.4. Find the probability that a sample of 9
values taken from this population will have a mean less than
22.
*Note: all z-scores must be rounded to the nearest hundredth.
2. A particular fruit's weights are normally distributed, with a
mean of 377 grams and a standard deviation of 11 grams.
If you pick 2 fruit at random, what is the probability that their
mean weight will...

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.

A study estimates the average height of men in Thailand to be
170 cm with a standard deviation of 6.5 cm. The height follows the
normal probability distribution. a. What is the probability of
randomly selecting a man that is exactly 170 cm tall? b. What
percent of the male population of Thailand is between 165 cm to 175
cm tall? c. What percent of the male population of Thailand is over
175 cm tall? d. What percent of the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 16 minutes ago

asked 32 minutes ago

asked 36 minutes ago

asked 36 minutes ago

asked 39 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago