The average student-loan debt is reported to be $25,235. A student believes 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 student-loan debt is $27,524 and the standard deviation is $6,000. Is there sufficient evidence to support the student's claim at a 5% significance level? Preliminary: a. Is it safe to assume that n < 5% of all college students in the local area? O Yes No b. Is n 2 30 ? O Yes No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: H Ha: µ ? V b. Determine the test statistic. Round to two decimals. t = c. Find the p-value. Round to 4 decimals. p-value = %3D d. Make a decision. Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. There is not sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

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The average student-loan debt is reported to be $25,235. A student believes 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 student-loan debt is $27,524 and the standard deviation is $6,000. Is there sufficient evidence to
support the student's claim at a 5% significance level?
Preliminary:
a. Is it safe to assume that n < 5 % of all college students in the local area?
Yes
No
b. Is n > 30 ?
O Yes
No
Test the claim:
a. Determine the null and alternative hypotheses. Enter correct symbol and value.
Ho: 4
Ha: u ?
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.
Fail to reject the null hypothesis.
e. Write the conclusion.
There is not sufficient evidence to support the claim that student-loan debt is higher than
$25,235 in her area.
There is sufficient evidence to support the claim that student-loan debt is higher than
$25,235 in her area.
Transcribed Image Text:The average student-loan debt is reported to be $25,235. A student believes 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 student-loan debt is $27,524 and the standard deviation is $6,000. Is there sufficient evidence to support the student's claim at a 5% significance level? Preliminary: a. Is it safe to assume that n < 5 % of all college students in the local area? Yes No b. Is n > 30 ? O Yes No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: 4 Ha: u ? 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. Fail to reject the null hypothesis. e. Write the conclusion. There is not sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.
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