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An industrial safety program was recently instituted in the computer chip indust

ID: 3024466 • Letter: A

Question

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.

Explanation / Answer

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