An engineer wants to
determine the effectiveness of a safety program. He collects annual
loss of hours due to accidents in 12 plants before and after the
program was put into operation.
Plant | Before | After | Plant | Before | After | |||||
1 | 114 | 89 | 7 | 92 | 88 | |||||
2 | 106 | 97 | 8 | 100 | 64 | |||||
3 | 108 | 102 | 9 | 81 | 68 | |||||
4 | 86 | 99 | 10 | 71 | 52 | |||||
5 | 70 | 57 | 11 | 77 | 58 | |||||
6 | 88 | 85 | 12 | 108 | 108 | |||||
Click here for the Excel Data File
Let the difference be defined as Before – After.
a. Specify the competing hypotheses that determine
whether the safety program was effective.
H0: μD = 0; HA: μD ≠ 0
H0: μD ≤ 0; HA: μD > 0
H0: μD ≥ 0; HA: μD < 0
b-1. Calculate the value of the test statistic.
Assume that the hours difference is normally distributed.
(Round intermediate calculations to at least 4 decimal
places and final to 2 decimal places.)
An engineer wants to determine the effectiveness of a safety program. He collects annual loss of...
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