Question

- It is known that the average tuition per semester at colleges
in Virginia is $3712. Suppose we take a sample of 15 colleges and
find that the average tuition per semester is $4512 with a sample
standard deviation of $595. We are interested in testing if the
average amount of tuition is increasing. Show work and formulas
used.
- Using the sample of 15 people, what would the 95% confidence interval be for the population mean?
- What are the null and alternative hypotheses?
- What is the critical value at 95% confidence?
- Calculate the test statistic.
- Find the p-value
- What conclusion would be made here at the 95% confidence level?
- Would my conclusion change if I changed alpha to .01? Show reasoning.

Answer #1

It is known that the average tuition per semester at colleges
in Virginia is $3712. Suppose we take a sample of 15 colleges and
find that the average tuition per semester is $4512 with a sample
standard deviation of $595. We are interested in testing if the
average amount of tuition is increasing.
Using the sample of 15 people, what would the 95% confidence
interval be for the population mean?
What are the null and alternative hypotheses?
What is the...

3. The average pulse rate is known to be 80 beats per minutes.
Suppose we take a sample of 30 adults and find that the average
heart rate in the sample is 73.76 with a sample standard deviation
of 7.06. We are interested in testing if the average pulse rate is
actually lower than 80 beats per minute. ( please show all steps
and how you got each number)
a. Using the sample of 30 adults, what would the 95%...

It is known that the average American orders food from a
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Suppose we take a sample of 30 Americans and find that the average
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average amount of meals ordered out is actually lower than 4.2 now.
Using the sample of 30 adults, what...

The average tuition and room and board cost at a small private
liberal arts college is reported to be $20,000 per term. A study of
400 small liberal arts colleges find that the average cost per term
is $20,100. The population standard deviation is $1,500. What is
the 95 percent confidence limit for estimated population mean?

The average cost of tuition, room and board at small private
liberal arts colleges is reported to be $9,000 per term, but a
financial administrator believes that the average cost is higher. A
study conducted using 450 small liberal arts colleges showed that
the average cost per term is $9,700 with a standard deviation of
$1,500. Let level of significance= 0.05. What is the critical
z-value for this test?
A- 1.96
B- (-1.96)
c- 1.65
D- (-1.65)

Private nonprofit four-year colleges charge, on average, $26,516
per year in tuition and fees. The standard deviation is $7,429.
Assume the distribution is normal. Let X be the cost for a randomly
selected college. Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected Private nonprofit
four-year college will cost less than 22,272 per year.
c. Find the 62nd percentile for this distribution....

Private nonprofit four-year colleges charge, on average, $26,013
per year in tuition and fees. The standard deviation is $6,728.
Assume the distribution is normal. Let X be the cost for a randomly
selected college. Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X ~ N(___,___)
b. Find the probability that a randomly selected Private
nonprofit four-year college will cost less than 28,730 per
year.
c. Find the 63rd percentile for this distribution....

Private nonprofit four-year colleges charge, on average, $27,025
per year in tuition and fees. The standard deviation is $7,267.
Assume the distribution is normal. Let X be the cost for a randomly
selected college. Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected Private nonprofit
four-year college will cost less than 22,077 per year.
c. Find the 64th percentile for this distribution....

Private nonprofit four-year colleges charge, on average, $26,623
per year in tuition and fees. The standard deviation is $6,848.
Assume the distribution is normal. Let X be the cost for a randomly
selected college. Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected Private nonprofit
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c. Find the 67th percentile for this distribution....

Private nonprofit four-year colleges charge, on average, $27,629
per year in tuition and fees. The standard deviation is $6,833.
Assume the distribution is normal. Let X be the cost for a randomly
selected college. Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X ~ N( ____ , ____ )
b. Find the probability that a randomly selected Private nonprofit
four-year college will cost less than 31,217 per year. ______.
round to 4...

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