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...

please answer the first 3 and explain the reason for the answer.

Extracted text: 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. Но: и Ha: µ Select an answer v |(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. O Fail to reject the null hypothesis 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. There is not sufficient evidence to support the claim that student loan debt is higher than $25,235.