The average student loan debt is reported to be $25,235. A student belives that the student loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean to be $27,524 and the standard devition to be $6000. Is there sufficient evidence to support the student' claim at a 5% significance level? a) Determine the null and alternative hypotheses. Ho: μ = Ha: Select an answer ✓ b) Determine the test statistic. Round to two decimals. t = c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. (Put in the correct symbol and value) O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that student loan debt is higher than $25,235. O There is not sufficient evidence to support the claim that student loan debt is higher than $25,235.

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The average student loan debt is reported to be $25,235. A student belives that the student loan debt is
higher in her area. She takes a random sample of 100 college students in her area and determines the
mean to be $27,524 and the standard devition to be $6000. Is there sufficient evidence to support the
student' claim at a 5% significance level?
a) Determine the null and alternative hypotheses.
Ho: μ
=
Ha: Select an answer ✓
b) Determine the test statistic. Round to two decimals.
t =
c) Find the p-value. Round to 4 decimals.
P-value =
d) Make a decision.
Reject the null hypothesis
O Fail to reject the null hypothesis
(Put in the correct symbol and value)
e) Write the conclusion.
There is sufficient evidence to support the claim that student loan debt is higher than $25,235.
O There is not sufficient evidence to support the claim that student loan debt is higher than $25,235.
Transcribed Image Text:The average student loan debt is reported to be $25,235. A student belives that the student loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean to be $27,524 and the standard devition to be $6000. Is there sufficient evidence to support the student' claim at a 5% significance level? a) Determine the null and alternative hypotheses. Ho: μ = Ha: Select an answer ✓ b) Determine the test statistic. Round to two decimals. t = c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. Reject the null hypothesis O Fail to reject the null hypothesis (Put in the correct symbol and value) e) Write the conclusion. There is sufficient evidence to support the claim that student loan debt is higher than $25,235. O There is not sufficient evidence to support the claim that student loan debt is higher than $25,235.
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