Question

It is claimed that an industrial safety program is effective in reducing the loss of working hours due to factory accidents. The following data are collected concerning the weekly loss of working hours due to accidents in six plants both before and after the safety program is instituted. To analyze the effect of the industrial safety program, the manager will look at the reduction in working hours for each plant and perform a test on the differences. (a) Explain why a two-sample test (one sample is before program hours and the other sample is after program hours) is not appropriate to measure the effectiveness of the program. (b) Complete the hypotheses below to perform a matched pair analysis for this data. Hint: pair on Plant. H0: The average paired difference in working hours is zero. Avg(Before - After) = 0. The program has no effect. HA: (c) The loss of working hours due to factory accidents is recorded in 6 plants before and after the program is implemented. Compute the paired difference within each plant to obtain the 6 observed differences in working hours lost. Plant 1 2 3 4 5 6 Before 12 30 15 37 29 15 After 10 29 16 35 26 16 Before-After (d) Using the computed differences from above as your observed sample, compute the appropriate test statistic, p-value, and df if necessary, to determine if there is enough evidence to suggest that the program is effective. Draw final conclusions in context.

It is claimed that an industrial safety program is effective in reducing the loss of working hours due to factory accidents. The following data are collected concerning the weekly loss of working hours due to accidents in six plants both before and after the safety program is instituted. To analyze the effect of the industrial safety program, the manager will look at the reduction in working hours for each plant and perform a test on the differences.

(a) Explain why a two-sample test (one sample is before program hours and the other sample is after program hours) is not appropriate to measure the effectiveness of the program.

(b) Complete the hypotheses below to perform a matched pair analysis for this data.
Hint: pair on Plant.
H0: The average paired difference in working hours is zero. Avg(Before - After) = 0. The program has no effect.
HA:

(c) The loss of working hours due to factory accidents is recorded in 6 plants before and after the program is implemented. Compute the paired difference within each plant to obtain the 6 observed differences in working hours lost.

Plant 1 2 3
4 5 6

Before 12 30 15 37 29
15

After 10 29 16 35
26 16

Before-After

(d) Using the computed differences from above as your observed sample, compute the appropriate test statistic, p-value, and df if necessary, to determine if there is enough evidence to suggest that the program is effective. Draw final conclusions in context.

Added by Mckenzie R.

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