Question

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 quartile for the average number of Facebook friends.

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

Answer #1

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 124 and a standard deviation
of about 41. Assume forty-two individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal
places where possible.
Find the first quartile for the average number of Facebook
friends:

Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 133 and a standard deviation
of about 55.
Assume twelve individuals are randomly chosen. Answer the following
questions. Round all answers to 4 decimal places where
possible.
a. For the group of 12, find the probability that the average
number of friends is more than 117.
b. Find the first quartile for the average number of Facebook
friends. [SAB1

5. Suppose that the average number of Facebook
friends users have is normally distributed with a mean of 125 and a
standard deviation of about 55. Assume fourteen 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 14, find the probability that the average
number of friends is less than 107. ___
c. Find...

Please give a detailed response, not just the answer. If it is
possible, a way to work out the problem in Excel would be helpful!
Thanks in advance!
Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 112 and a standard deviation
of about 43. Assume forty-one individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal
places where possible.
What is the distribution of x¯? x¯ ~...

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....

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),...

You want to estimate the mean number of friends for all Facebook
users. How many users must be included in the sample if you want to
be 95% confident that the sample mean is within seven friends of
the population mean? Assume the population standard deviation is
53.

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