Question

The average annual tuition and fees at public 4-year institutions in the US in 2004 was $13,576 and in 2014 was $18,231. Let y be the average tuition and fees in the year x, where x = 0 represents the year 2004.

a) Write a linear equation that models the growth in average tuition and fees at public 4-year institutions in the US in terms of the year x.

b) Use this equation to predict the average tuition and fees at public 4-year institutions in the US in the year 2020.

c) Explain what the slope of this line means in the context of the problem.

Answer #1

7) The average annual tuition and fees at all 4-year
institutions in the US in 2010 was $25,390 and in 2016 is estimated
to be $ 32,980. Let y be the average tuition and fees in the year
x, where x = 0 represents the year 2010. a) Write a linear equation
(point slope form), which would models the growth in average
tuition and fees at all 4-year institutions in the US in terms of
the year x. Plot the...

College tuition: The mean annual tuition and fees in the
2013-2014 academic year for a sample of 14 private colleges in
California was $33,500 with a standard deviation of $7350. A
dotplot shows that it is reasonable to assume that the population
is approximately normal. Can you conclude that the mean tuition and
fees for private institutions in California is less than $35,000?
Use the a=0.10 level of significance and the P-value method with
the TI-84 Plus calculator.
1) State...

It is claimed that the average cost of tuition and fees at a
four-year public college is greater than $5500. The standard
deviation of college tuitions is known to be $659, and the mean
tuition and fees of a sample of 36 schools is computed to be
$5900.
a. Is this a two-tailed, right-tailed, or left-tailed test?
b. What is H1?
c. What is the test value?
d. Verify or deny the claim with 90% certainty.

The mean annual tuition and fees in the 2018 - 2019 academic
year for a sample of 14 public colleges in California was $30,500
with a standard deviation of $4,500. At the α = 0.01 level
of significance, can you conclude that the mean tuition and fees
for public institutions in California differs from $30,000?
1. State the null and alternative hypotheses and the type of
test this is?
2. Compute the critical value and the value of the test...

The table below shows the cost of tuition at a local community
college based on the number of credit hours a student is registered
for.
1. Use the information from the table to draw a graph in excel with
credit hours on the x axis and cost on the y axis.
2. Explain why a linear equation seems like a reasonable choice for
modeling this data.
3. Find the slope of the line and explain what it means.
4. Find...

The average annual cost (including tuition, room, board, books,
and fees) to attend a public college takes nearly a third of the
annual income of a typical family with college-age children.† At
private colleges, the average annual cost is equal to about 60% of
the typical family's income. The following random samples show the
annual cost of attending private and public colleges. Data are in
thousands of dollars.
Private Colleges 52.8, 42.2, 44.0, 34.3, 44.0, 29.6, 46.8, 36.8,
51.5, 41.0...

The table shown to the right gives the national average
pupil-teacher ratio in public schools over selected years. a. Find
the equation for the least squares line. Let x correspond to the
number of years since 1992 and let y correspond to the average
number of pupils per 1 teacher. b. Use the answer from part a to
predict the pupil-teacher ratio in 2020. Does this seem
realistic? c. Calculate and interpret the correlation coefficient.
Year Ratio 1992 17.4 1996...

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...

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....

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