Question

The average price of a college math textbook is $166 and the standard deviation is $24. Suppose that 7 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

- For the group of 7, find the probability that the average price is between $171 and $184.
- Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)

Answer #1

The average price of a college math textbook is $166 and the
standard deviation is $26. Suppose that 17 textbooks are randomly
chosen. Round all answers to 4 decimal places where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 17, find the probability that the average
price is between $164 and $167.
Find the first quartile for the average textbook price for this
sample size. $ (round to the nearest cent)
For part b),...

The average price of a college math textbook is $157 and the
standard deviation is $30. Suppose that 17 textbooks are randomly
chosen. Round all answers to 4 decimal places where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(______,_______)
For the group of 17, find the probability that the average
price is between $161 and $172. _______
Find the first quartile for the average textbook price for this
sample size. $________ (round to the nearest cent)
For part...

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 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?

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...

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

Problem 5: Assume that the average price of a certain chemistry
textbook is $150 and the standard deviation of the prices is $5.
Consider a random sample consisting of 100 of these chemistry
textbooks. (a) What is the mean of the sampling distribution of the
sample mean? (b) What is the standard deviation of the sampling
distribution of the sample mean? (c) Find the probability that the
average price of textbooks in this sample is at least $151.75. (d)
Assuming...

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 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...

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