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 5 of all college students in the local area Yes No b Is n 30 Yes O No Test the claim a Determine the null and alternative hypotheses Enter correct symbol and value Ho Ha b Determine the test statistic Round to two decimals t 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