Question
In: Statistics and Probability
A student at a four-year college claims that average enrollment at four-year colleges is higher than...
A student at a four-year college claims that average enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 two-year colleges surveyed, the average enrollment was 5068 with a standard deviation of 4777. Of the 35 four-year colleges surveyed, the average enrollment was 5466 with a standard deviation of 8191.† Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
A) State the distribution to use for the test. (Enter your answer in the form zor tdfwhere dfis the degrees of freedom. Round your answer to two decimal places.)
B) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. (Upload your file below.)
Solutions
orchestra answered 1 year agoRelated Solutions
A student at a four-year college claims that average enrollment at four-year colleges is higher than...
A student at a four-year college claims that average enrollment
at four-year colleges is higher than at two-year colleges in the
United States. Two surveys are conducted. Of the 35 two-year
colleges surveyed, the average enrollment was 5061 with a standard
deviation of 4775. Of the 35 four-year colleges surveyed, the
average enrollment was 5216 with a standard deviation of 8101.
Conduct a hypothesis test at the 5% level.
NOTE: If you are using a Student's t-distribution for the
problem,...
A student at a four-year college claims that average enrollment at fouryear colleges is higher than...
A student at a four-year college claims that average enrollment
at fouryear colleges is higher than at twoyear colleges in the
United States. Two surveys are conducted. Of the 35 twoyear
colleges surveyed, the average enrollment was 5068 with a standard
deviation of 4777. Of the 35 four-year colleges surveyed, the
average enrollment was 5466 with a standard deviation of 8191. Test
the claim using 0.10 as significance level.
Student enrollment at a college over the past five years is given below. Year(t) Enrollment(y) 1...
Student enrollment at a college over the past five years is
given below.
Year(t)
Enrollment(y)
1
18.9
2
23.1
3
24
4
24.6
5
26.4
Required:
a. Develop a linear trend equation for this time series.
b. Forecast enrollment for year 12.
c. Forecast enrollment for year 15.
The average student loan debt of a U.S. college student at the end of four years...
The average student loan debt of a U.S. college student
at the end of four years of college is estimated to be about
$22,000. You take a random sample of 150 college students in the
state of Wyoming and find that the mean debt is $19,850, and the
sample standard deviation is $2,180.
(a) Construct a 95% confidence interval for the mean debt of all
Wyoming college graduates.
(b) Construct a 98% confidence interval for the mean debt of all...
The average student loan debt of a U.S. college student at the end of four years...
The average student loan debt of a U.S. college student at the
end of four years of college is estimated to be about $22,000. You
take a random sample of 150 college students in the state of
Wyoming and find that the mean debt is $19,850, and the sample
standard deviation is $2,180.
(a) Construct a 95% confidence interval for the mean debt of all
Wyoming college graduates.
(b) Construct a 98% confidence interval for the mean debt of all...
An outbreak of gastroenteritis occurred at a liberal arts college with a student enrollment of 1164....
An outbreak of gastroenteritis occurred at a liberal arts
college with a student enrollment of 1164. Forty-seven (47)
students had sought care at the college Health Center between 10:30
p.m. on January 17 and 8:00 p.m. on January 18. The ill students
seen at the Health Center all lived in dormitories totaled 756. The
dormitory of residence of the 47 known cases, as well as the
population and gender of the occupants of each dormitory is shown
in the table...
What do you expect enrollment for colleges in the 2020-2021 academic year to be impacted by...
What do you expect enrollment for colleges in the 2020-2021
academic year to be impacted by the pandemic? Make a prediction and
support it with economic arguments. Be sure to address each
side.
Assume one bond has a face value $10,000 while a second bond
has a face value of $1,000. If the $10,000 bond is currently
selling for $8,000, what must be the price of the $1,000 bond
assuming both bonds are risk-free and the time to maturity is...
Private nonprofit four-year colleges charge, on average, $26,755 per year in tuition and fees. The standard...
Private nonprofit four-year colleges charge, on average, $26,755
per year in tuition and fees. The standard deviation is $6,752.
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 25,013 per year.
c. Find the 66th percentile for this distribution....
Private nonprofit four-year colleges charge, on average, $26,470 per year in tuition and fees. The standard...
Private nonprofit four-year colleges charge, on average, $26,470
per year in tuition and fees. The standard deviation is $6,683.
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 30,818 per year.
c. Find the 74th percentile for this distribution....
A college professor claims that the entering class this year appears to be smarter than entering...
A college professor claims that the entering class this year
appears to be smarter than entering classes from previous years. He
tests a random sample of 14 of this year's entering students and
finds that their mean IQ score is 116, with standard deviation of
14. The college records indicate that the mean IQ score for
entering students from previous years is 111. If we assume that the
IQ scores of this year's entering class are normally distributed,
is there...
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