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.�0: �=��: �      (Put in the correct symbol and value)b) Determine the test statistic. Round to two decimals.�=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. There is sufficient evidence to support the claim that student loan debt is higher than $25,235.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.

�0: �=

��: �      (Put in the correct symbol and value)

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

�=

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