A school district-wide test is used to measure math aptitude in freshmen in high school students, with a mean of 78 and a standard deviation of 12. Thirty-six selected freshmen took the test, and their mean score was 85. Examine whether these students differ significantly from the district test group. 1. Calculate the standard error of the mean (SEM). (Note: SEM is calculated by dividing the standard deviation by the square root of the sample size.) After calculating the SEM, also create a 99% confidence interval.
