An industrial safety program was recently instituted in the
An industrial safety program was recently instituted in the computer chip industry. The average weekly loss (averaged over one month) in man-hours due to accidents in 10 similar plants both before and after the program are as follows:
Plant Before After
1 30.5 23
2 18.5 21
3 24.5 22
4 32 28.5
5 16 14.5
6 15 15.5
7 23.5 24.5
8 25.5 21
9 28 23.5
10 18 16.5
Determine at the 5 percent level of significance, whether the safety program has been proven to be effective.
Solution
At 5% level the p-value is 0.0248 <0.05, hence, do not reject the null and conclude that the safety program has not been effective at 5% los
| t-Test: Paired Two Sample for Means | ||
| Before | After | |
| Mean | 23.15 | 21 |
| Variance | 36.55833333 | 19.16666667 |
| Observations | 10 | 10 |
| Pearson Correlation | 0.882524978 | |
| Hypothesized Mean Difference | 0 | |
| df | 9 | |
| t Stat | 2.265949333 | |
| P(T<=t) one-tail | 0.024845515 | |
| t Critical one-tail | 1.833112933 | |
| P(T<=t) two-tail | 0.049691031 | |
| t Critical two-tail | 2.262157163 |
