Question

**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 the first quartile for the average number of Facebook friends. ____

**6.** The amount of syrup that people put on their
pancakes is normally distributed with mean 57 mL and standard
deviation 9 mL. Suppose that 41 randomly selected people are
observed pouring syrup on their pancakes. Round all answers to 4
decimal places where possible.

a. What is the distribution of X? X ~ N( , ) ____

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

c. If a single randomly selected individual is observed, find the probability that this person consumes is between 57.7 mL and 59.2 mL. ____

d. For the group of 41 pancake eaters, find the probability that the average amount of syrup is between 57.7 mL and 59.2 mL ____

Answer #1

The amount of syrup that people put on their pancakes is
normally distributed with mean 56 mL and standard deviation 12 mL.
Suppose that 41 randomly selected people are observed pouring syrup
on their pancakes. Round all answers to 4 decimal places where
possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
If a single randomly selected individual is observed, find the
probability that this person consumes is between 56.7...

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 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...

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 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

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¯ ~...

A 2014 Pew study found that the average US Facebook user has 338
friends. The study also found that the median US Facebook user has
200 friends. What does this imply about the distribution of the
variable "number of Facebook friends"? (You have two attempts for
this problem, and five attempts each for the remaining problems)
The distribution is normal The distribution is bimodal The
distribution is approximately Q3 The distribution is left skewed
The distribution is trending The distribution...

Suppose the age that children learn to walk is normally
distributed with mean 12 months and standard deviation 1 month. 7
randomly selected people were asked what age they learned to walk.
Round all answers to 4 decimal places where possible. What is the
distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯
x ~ N( , ) What is the probability that one randomly selected
person learned to walk when...

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