87 5. Nationwide, the average total amount of student loan debt in 2012 is normally distributed with a u = $29,400. Assume that a sample of 36 students is randomly selected from a public university. Their student loans have X - $27,400 and s = $9,000. Conduct a proper statistical procedure to test whether the average student loan in this public university is different from $29,400, using a = . 10. 6. SAT verbal scores are normally distributed with a u = 500. A local high school has instituted a new program to engage students in reading. A sample of nine students from this high school is randomly selected following their participation in this reading program and their SAT verbal scores were reported: 600 760 550 505 660 540 480 535 455 Is the sample mean significantly different from the population mean