Suggest the test average and final for five students. Does this information point to that the final grades are higher than score upon the final; that is, at the 0.05 significance level, employ hypothesis testing of mean difference where ?ˆd = d¯ and ?ˆd = sd.
Student Test Average Final Difference
1 75 90 15
2 71 81 10
3 86 78 -8
4 64 82 18
5 76 71 -5
Mean x¯1= 74.4 x¯2= 80.4 d¯= 6
Sample Std Deviation s1= 8.0 s2= 6.9 sd= 11.8
Compute the test statistic accurate to two decimals.