The average student-loan debt is reported to be $25,235 with a population standard deviation of $6000. A student believes that the student-loan debt is higher than 25,235 in her area. She takes a random sample of 100 college students in her area and determines the mean student-loan debt is 27889. Use the Classical Method (compare the test statistic with the Z-critical value) to determine if there is sufficient evidence to support the student's claim at a 5% significance level? Ho: 4-$25,235 Haμ>$25,235 a. Determine the test statistic. Round to 3 decimals. z= b. Find the critical value for z. Round to 3 decimals. Z-crit- c. Make a decision. O Reject the null hypothesis since the z-score for the data is greater than the Z-critical value. Fail to reject the null hypothesis since the z-score for the data is NOT greater than Z-critical value. d. Write the conclusion. O There is not sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area. O There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area. Question Help: Video Submit Question

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The average student-loan debt is reported to be $25,235 with a population standard deviation of $6000. A
student believes that the student-loan debt is higher than 25,235 in her area. She takes a random sample
of 100 college students in her area and determines the mean student-loan debt is 27889.
Use the Classical Method (compare the test statistic with the Z-critical value) to determine if there is
sufficient evidence to support the student's claim at a 5% significance level?
Ho: 4-$25,235
Haμ>$25,235
a. Determine the test statistic. Round to 3 decimals.
z=
b. Find the critical value for z. Round to 3 decimals.
Z-crit-
c. Make a decision.
O Reject the null hypothesis since the z-score for the data is greater than the Z-critical value.
Fail to reject the null hypothesis since the z-score for the data is NOT greater than Z-critical
value.
d. Write the conclusion.
O There is not sufficient evidence to support the claim that student-loan debt is higher than
$25,235 in her area.
O There is sufficient evidence to support the claim that student-loan debt is higher than $25,235
in her area.
Question Help: Video
Submit Question
Transcribed Image Text:The average student-loan debt is reported to be $25,235 with a population standard deviation of $6000. A student believes that the student-loan debt is higher than 25,235 in her area. She takes a random sample of 100 college students in her area and determines the mean student-loan debt is 27889. Use the Classical Method (compare the test statistic with the Z-critical value) to determine if there is sufficient evidence to support the student's claim at a 5% significance level? Ho: 4-$25,235 Haμ>$25,235 a. Determine the test statistic. Round to 3 decimals. z= b. Find the critical value for z. Round to 3 decimals. Z-crit- c. Make a decision. O Reject the null hypothesis since the z-score for the data is greater than the Z-critical value. Fail to reject the null hypothesis since the z-score for the data is NOT greater than Z-critical value. d. Write the conclusion. O There is not sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area. O There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area. Question Help: Video Submit Question
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