Student Debt Vermont: The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to be about $24,100. You take a random sampie of 136 college students in the state of Vermont and nd the mean debt is $25,000 with a standard deviation of $2,400. You want to construct a 90% condence interval for the mean debt for all Vermont college students. (a) What is the point estimate for the mean debt of all Vermont college students? it [:1 (b) Construct the 90% confidence interval for the mean debt of all Vermont college students. Round your answers to the nearest whole dollar. (c) Are you 90% condent that the mean debt of all Vermont college students is greater than the quoted national average of $24,100 and why? O No, because $24,100 is above the lower limit of the confidence interval for Vermont students. 0 No, because $24,100 Is below the lower limit of the condence interval for Vermont students. 0 Yes, because $24,100 is above the lower limit of the confidence interval for Vermont students. 0 Yes, because $24,100 is below the lower limit of the condence interval for Vermont students. (d) We are never told whether or not the parent population is normally distributed. Why could we use the above method to nd the condence interval? O Because the sample size is less than 100. 0 Because the sample size is greater than 30. O Because the margin of error is less than 30. 0 Because the margin of error is positive