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In: Statistics and Probability

It is claimed that an industrial safety program is effective in reducing the loss of working...

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. Do the data substantiate the claim ?

person 1 2 3 4 5 6

Before 12 29 16 37 28 15

After 10 25 12 32 25 12

(a) State the null hypothesis and alternative hypothesis

(b) Find the test statistic

(c) If the type-I error α = 0.1, find the critical value(s) and shade the rejection region(s)

(d) Base on the type-I error α and rejection region(s), given above, what is your conclusion?

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