Question 6.22: Four different coating formulations are tested to see if the......

Four different coating formulations are tested to see if they reduce the wear on cam gears to a value below 100 𝜇m. The null hypothesis H_{0} : \mu ≥ 100\ \mu m is tested for each formulation, and the results are

  Formulation A:     P = 0.37

 Formulation B:     P = 0.41

    Formulation C:     P = 0.005

Formulation D:     P = 0.21

The operator suspects that formulation C may be effective, but he knows that the P-value of 0.005 is unreliable, because several tests have been performed. Use the Bonferroni adjustment to produce a reliable P-value.

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Four tests were performed, so the Bonferroni adjustment yields P = (4)(0.005) = 0.02 for formulation C. So the evidence is reasonably strong that formulation C is in fact effective.

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The Bonferroni adjustment would yield P = (4)(0.03...