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...


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.


H0H0: μ=μ=


HaHa: μμSelect an answer > not = <   (put in="" the="" correct="" symbol="" and="">


b) Determine the test statistic. Round to two decimals.


t=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 sufficient evidence to support the claim that student loan debt is higher than $25,235.

  • There is not sufficient evidence to support the claim that student loan debt is higher than $25,235.




Jun 08, 2022
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