Comparing two different methods
Two different means of assessing the students have been suggested. First using a normal distribution and secondly using fixed percentages for each rating.
Using the normal distribution
A - > 2a
B - > a and < 2a
C - > -a and < a
D - > -2a and < -a
E - < -2a
Using the fixed percentage
A - > 80%
B - > 60% and < 80%
C - > 40% and < 60%
D - > 20% and < 40%
E - < 20%
The task is to compare and contrast the two different assessment procedures. You should consider the outcome if a teacher sets an easier test or a harder test.
You many assume that the standard deviation remains the same for each of the tests.
I have no idea where to start. Any help would be greatly appreciated.
NOTE: I have used "a" because i could not find sigma.