64. The College Board reported that the average number of freshman class applications to public colleges and universities is 6000 (USAToday,December26, 2002). During a recent application/

enrollment period, a sample of 32 colleges and universities showed that the sample mean number of freshman class applications was 5812 with a sample standard deviation of 1140. Do the data indicate a change in the mean number of applications? Use α  .05.