Question

**Student Debt – Vermont:** The average student
loan debt of a U.S. college student at the end of 4 years of
college is estimated to be about $23,800. You take a random sample
of 136 college students in the state of Vermont and find the mean
debt is $25,000 with a standard deviation of $2,600. You want to
construct a 99% confidence interval for the mean debt for all
Vermont college students.

(a) What is the point estimate for the mean debt of all Vermont
college students?

$

(b) Construct the 99% confidence interval for the mean debt of all
Vermont college students. **Round your answers to the nearest
whole dollar.**

< *μ* <

(c) Are you 99% confident that the mean debt of all Vermont college
students is greater than the quoted national average of $23,800 and
why?

No, because $23,800 is below the lower limit of the confidence interval for Vermont students. Yes, because $23,800 is above the lower limit of the confidence interval for Vermont students. No, because $23,800 is above the lower limit of the confidence interval for Vermont students. Yes, because $23,800 is below the lower limit of the confidence interval for Vermont students.

(d) We are never told whether or not the parent population is
normally distributed. Why could we use the above method to find the
confidence interval?

Because the margin of error is less than 30. Because the margin of error is positive. Because the sample size is greater than 30. Because the sample size is less than 100.

Answer #1

Student Debt – Vermont: The average student loan debt of a U.S.
college student at the end of 4 years of college is estimated to be
about $21,900. You take a random sample of 146 college students in
the state of Vermont and find the mean debt is $23,000 with a
standard deviation of $2,200. You want to construct a 99%
confidence interval for the mean debt for all Vermont college
students.
(a) What is the point estimate for the...

Student Debt – Vermont: The average student
loan debt of a U.S. college student at the end of 4 years of
college is estimated to be about $22,500. You take a random sample
of 141 college students in the state of Vermont and find the mean
debt is $23,500 with a standard deviation of $2,800. You want to
construct a 90% confidence interval for the mean debt for all
Vermont college students.
(a) What is the point estimate for the...

Student Debt – Vermont (Raw Data, Software
Required):
The average student loan debt of a U.S. college student at the end
of 4 years of college is estimated to be about $22,400. You take a
random sample of 40 college students in the state of Vermont. The
debt for these students is found in the table below. We want to
construct a 99% confidence interval for the mean debt for all
Vermont college students. You will need software to answer...

Vermont (Raw Data, Software Required):
The average student loan debt of a U.S. college student at the end
of 4 years of college is estimated to be about $22,800. You take a
random sample of 40 college students in the state of Vermont. The
debt for these students is found in the table below. We want to
construct a 90% confidence interval for the mean debt for all
Vermont college students. You will need software to answer these
questions. You...

The average student loan debt of a U.S. college student at the
end of 4 years of college is estimated to be about $22,900. You
take a random sample of 40 college students in the state of
Vermont. The debt for these students is found in the table below.
We want to construct a 90% confidence interval for the mean debt
for all Vermont college students. You will need software to answer
these questions. You should be able to copy...

Student Debt – Vermont: The average student
loan debt of a U.S. college student at the end of 4 years of
college is estimated to be about $22,600. You take a random sample
of 136 college students in the state of Vermont and find the mean
debt is $23,500 with a standard deviation of $2,200. We want to
construct a 90% confidence interval for the mean debt for all
Vermont college students.
(a) What is the point estimate for the...

Sleep – College Students: Suppose you perform a
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6.1 hours with a standard deviation of 0.97 hours. You want to
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Sleep – College Students: Suppose you perform a study about
the hours of sleep that college students get. You know that for all
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college students and survey them on their sleep habits. From this
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with a standard deviation of 0.86 hours. You want to construct a
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Sleep – College Students: Suppose you perform a
study about the hours of sleep that college students get. You know
that for all people, the average is about 7 hours. You randomly
select 45 college students and survey them on their sleep habits.
From this sample, the mean number of hours of sleep is found to be
6.1 hours with a standard deviation of 0.97 hours. You want to
construct a 99% confidence interval for the mean nightly hours of...

Sleep – College Students: Suppose you perform a
study about the hours of sleep that college students get. You know
that for all people, the average is about 7 hours. You randomly
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