Formally assess whether or not the estimated differences in themean scores (grade) for the three positions (front, middle, andback) are statistically significant,
providing numerical justification (test statistic and P-value) foryour conclusion. If you find a
significant difference among the positions, then investigate whichpositions differ significantly
from each other. You can ignore prevGPA.
DATA two;INPUT grade position $ prevGPA;cards;93.2 front 3.7888.4 front 3.5265.4 front 2.67 56.3 front 2.23 73.6 front 3.2144.3 front 1.9689.4 front 3.4592.7 front 3.7775.4 front 2.9986.5 front 3.2695.6 middle 4.0077.3 middle 3.1291.1 middle 3.5987.2 middle 3.1975.3 middle 2.6597.4 middle 3.82 67.4 middle 2.8793.6 middle 3.6786.2 middle 3.4288.3 middle 3.4456.6 middle 1.7694.3 middle 3.9899.3 middle 3.9376.4 middle 3.1770.8 back 2.4378.5 back 3.1198.2 back 3.8989.3 back 3.2471.2 back 3.1246.3 back 2.1165.5 back 2.3481.2 back 3.2485.4 back 3.2378.3 back 2.93;run;
