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:Is it safe to assume that n≤5%n≤5% of all college students in the local area?NoYesIs n≥30n≥30 ?YesNo Test the claim:Determine the null and alternative hypotheses. Enter correct symbol and value.H0H0: μ=μ=HaHa: μμ? < ≠ > Determine the test statistic. Round to two decimals.t=t=Find the pp-value. Round to 4 decimals.pp-value = Make a decision.Fail to reject the null hypothesis.Reject the null hypothesis.Write the conclusion.There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.There is not sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

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Description: 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 s

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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:

Is it safe to assume that n≤5%n≤5% of all college students in the local area?
- No
- Yes
Is n≥30n≥30 ?
- Yes
- No

Test the claim:

Determine the null and alternative hypotheses. Enter correct symbol and value.

H0H0: μ=μ=
HaHa: μμ? < ≠ >
Determine the test statistic. Round to two decimals.
t=t=
Find the pp-value. Round to 4 decimals.
pp-value =
Make a decision.
- Fail to reject the null hypothesis.
- Reject the null hypothesis.
Write the conclusion.
- There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.
- There is not sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

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