Question

The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7 mm. Suppose that 9 individuals are randomly chosen. Round all answers to 4 where possible.

A. What is the distribution of ¯x? ¯x ~ N( , )

B. For the group of 9, find the probability that the average hand length is more than 184.

C. Find the first quartile for the average adult male hand length for this sample size.

D. For part b), is the assumption that the distribution is normal necessary? Yes or No

Answer #1

The lengths of adult males' hands are normally distributed with
mean 186 mm and standard deviation is 7.3 mm. Suppose that 10
individuals are randomly chosen. Round all answers to 4 where
possible.
For the group of 10, find the probability that the average hand
length is less than 187.
Find the first quartile for the average adult male hand length
for this sample size.

The lengths of adult males' hands are normally distributed with
mean 195 mm and standard deviation is 7.1 mm. Suppose that 49
individuals are randomly chosen. Round all answers to 4 where
possible. What is the distribution of ¯ x ? ¯ x ~ N( , ) For the
group of 49, find the probability that the average hand length is
more than 196. Find the first quartile for the average adult male
hand length for this sample size. For...

The lengths of adult males' hands are normally distributed with
mean 190 mm and standard deviation is 7 mm. Suppose that 48
individuals are randomly chosen. Round all answers to 4 where
possible.
For the group of 48, find the probability that the average hand
length is less than 192.
Find the third quartile for the average adult male hand length
for this sample size.
For part b), is the assumption that the distribution is normal
necessary?

please show all work!!!The lengths of adult males' hands are
normally distributed with mean 195 mm and standard deviation is 7
mm. Suppose that 43 individuals are randomly chosen. Round all
answers to 4 where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 43, find the probability that the average hand
length is less than 194.
Find the third quartile for the average adult male hand length
for this sample size.
For part b),...

Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 134 and a standard deviation
of about 41. Assume forty-seven individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal
places where possible.
A. What is the distribution of ¯x? ¯x ~
N( , )
B. For the group of 47, find the probability that the average
number of friends is less than 142.
C. Find the first...

Suppose that the walking step lengths of adult males are
normally distributed with a mean of 2.3 feet and a standard
deviation of 0.20 feet. A sample of 82 men’s step lengths is
taken.
Step 2 of 2 :
Find the probability that the mean of the sample taken is less
than 2.1 feet. Round your answer to 4 decimal places, if
necessary.

Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 113 and a standard deviation
of about 43. Assume forty individuals are randomly chosen. Answer
the following questions. Round all answers to 4 decimal places
where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 40, find the probability that the average
number of friends is more than 119.
Find the first quartile for the average number of...

Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 133 and a standard deviation
of about 60. Assume forty individuals are randomly chosen. Answer
the following questions. Round all answers to 4 decimal places
where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 40, find the probability that the average
number of friends is more than 131.
Find the first quartile for the average number of...

Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 114 and a standard deviation
of about 43. Assume seven individuals are randomly chosen. Answer
the following questions. Round all answers to 4 decimal places
where possible. What is the distribution of ¯ x ? ¯ x ~ N( , ) For
the group of 7, find the probability that the average number of
friends is more than 137. Find the first quartile...

The heights of adult males are known to be normally distributed
with a mean of 70 inches and a standard deviation of 2 inches.
a) Find the probability that a randomly selected adult male will
be taller than 75 inches?
(b) If three adult males are picked at random, find the
probability that at least one of the males is taller than 75
inches.

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