A study was conducted to test the effectiveness of a software patch in reducing system failures over a six-month period. Results for randomly selected installations are shown in the table. The “before” value is matched to an “after” value, and the differences are calculated. The differences have a normal distribution.
Installation a b c d e f g h
Before 3 6 4 2 5 8 2 6
After 1 5 2 0 1 0 2 2
-What is the value of the appropriate test statistic (round to 2 decimal places)?
T almost equal to Answer
-What is the p-value associated with these sample results (round to 3 decimal places)?
p almost equal to Answer
-At the α = 0.01 level of significance is there sufficient evidence to conclude that software patch was effective in reducing system failures?
Select one:
a.
Yes
b.
No
