16) A college admissions officer believes that this year's freshman class is superior in math aptitude to previous classes, where the average in previous classes was 470. If you test a random sample of 400 freshmen, with mean of 490 and standard deviation of 120, using the Minitab printout below and at the 0.01 significance level would you support the officer's claim? Show all steps

One-Sample T: GPA Test of mu = 470 vs > 470 99% Lower Variable N Mean StDev SE Mean Bound T P GPA 400 490 120 0.0838 474.58 3.33 0.002