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 daim at a 5% significance level? Preliminary: a. Is it safe to assume that n<5% of all college students in the local area? O No O Yes b. Is n > 30 ?

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d. Make a decision.
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
e. Write the conclusion.
O There is sufficient evidence to support the claim that student-loan debt is higher than
$25,235 in her area.
O 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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Transcribed Image Text:d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis. e. Write the conclusion. O There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area. O There is not sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area. Question Help: Message instructor Submit Question
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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 daim at a 5% significance level?
Preliminary:
a. Is it safe to assume that n<5% of all college students in the local area?
O No
O Yes
b. Is n > 30 ?
OYes
ONo
Бе
Test the claim:
a. Determine the null and alternative hypotheses. Enter correct symbol and value.
Ho: µ =
Ha: µ? v
b. Determine the test statistic. Round to two decimals.
c. Find the p-value. Round to 4 decimals.
P-value =
d. Make a decision.
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
to search
Transcribed Image Text:15697/assi Q Search 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 daim at a 5% significance level? Preliminary: a. Is it safe to assume that n<5% of all college students in the local area? O No O Yes b. Is n > 30 ? OYes ONo Бе Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: µ = Ha: µ? v b. Determine the test statistic. Round to two decimals. c. Find the p-value. Round to 4 decimals. P-value = d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis. to search
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