A recent study of debt among college graduates reported that the average debt accumulated by graduates of private colleges was $37,800, with a sample standard deviation of $2,087, while the average debt accumulated by graduates of public colleges was $11,200, with a sample standard deviation of $2,101. The sample sizes were 80 and 245, respectively. Complete parts a and b below. Conduct a hypothesis test to determine if the average college debt for bachelor of arts degree recipients is at least $23,000 more for graduates from private colleges than from public colleges. Use a significance level of α=0.10 Let x1=$37,800 and x2=$11,200. State the null and alternative hypotheses. H0: μ1−μ2≤$23,000 HA: μ1−μ2>$23,000
A recent study of debt among college graduates reported that the average debt accumulated by graduates of private colleges was $37,800, with a sample standard deviation of $2,087, while the average debt accumulated by graduates of public colleges was $11,200, with a sample standard deviation of $2,101. The sample sizes were 80 and 245, respectively. Complete parts a and b below. Conduct a hypothesis test to determine if the average college debt for bachelor of arts degree recipients is at least $23,000 more for graduates from private colleges than from public colleges. Use a significance level of α=0.10 Let x1=$37,800 and x2=$11,200. State the null and alternative hypotheses. H0: μ1−μ2≤$23,000 HA: μ1−μ2>$23,000
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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A recent study of debt among college graduates reported that the average debt accumulated by graduates of private colleges was
$37,800,
with a sample standard deviation of
$2,087,
while the average debt accumulated by graduates of public colleges was
$11,200,
with a sample standard deviation of
$2,101.
The sample sizes were
80
and
245,
respectively. Complete parts a and b below.Conduct a hypothesis test to determine if the average college debt for bachelor of arts degree recipients is at least
$23,000
more for graduates from private colleges than from public colleges. Use a significance level of
α=0.10
Let
x1=$37,800
and
x2=$11,200.
State the null and alternative hypotheses.H0:
μ1−μ2≤$23,000
HA:
μ1−μ2>$23,000
Calculate the test statistic
(Round to two decimal places as needed.)
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