Unit 3 Chapter 9: Lesson 9.5 Assignment Score: 0.1m DIS answered DQuestion 4 v 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 claim at a 5% significance level? Preliminary: a. Is it safe to assume that n S 5 % of all college students in the local area? Yes No b. Is n 2 30 1' Yes No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. b. Determine the test statistic. Round to two decimals. t = E c. Find the p-value. Round to 4 decimals. 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 in her area. There is sufficient evidence to support the claim that student- loan debt is higher than $25,235 in her area. Question Help: E Message instructor Submit