Question: We are comparing two software packages, one existing and one new software. Ten sets of computations are run by both packages and their processing times are recorded below.
|
Set of computation
|
Current software
|
New software
|
|
1
|
9.98
|
9.88
|
|
2
|
9.88
|
9.86
|
|
3
|
9.84
|
9.75
|
|
4
|
9.99
|
9.80
|
|
5
|
9.94
|
9.87
|
|
6
|
9.84
|
9.84
|
|
7
|
9.86
|
9.87
|
|
8
|
10.12
|
9.86
|
|
9
|
9.90
|
9.83
|
|
10
|
9.91
|
9.86
|
(a) Set up the hypotheses to test if the new software has a shorter average processing time.
(b) Carry out your test. Make sure you provide the test statistic, degrees of freedom, critical value and draw a conclusion.