Five different variations of a bolt-making process are run to see if any of them can increase the mean breaking strength of the bolts over that of the current process. The P-values are 0.13, 0.34, 0.03, 0.28, and 0.38. Of the following choices, which is the best thing to do next? a) Implement the process whose P-value was 0.03, since it performed the best. b) Since none of the processes had Bonferroni-adjusted P-values less than 0.05, we should stick with the current process. c) Rerun the process whose P-value was 0.03 to see if it remains small in the absence of multiple testing. d) Rerun all the five variations again, to see if any of them produce a small P-value the second time around.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Five different variations of a bolt-making process are run to see if any of them can increase the mean breaking strength of the bolts over that of the current process. The P-values are 0.13, 0.34, 0.03, 0.28, and 0.38. Of the following choices, which is the best thing to do next? a) Implement the process whose P-value was 0.03, since it performed the best. b) Since none of the processes had Bonferroni-adjusted P-values less than 0.05, we should stick with the current process. c) Rerun the process whose P-value was 0.03 to see if it remains small in the absence of multiple testing. d) Rerun all the five variations again, to see if any of them produce a small P-value the second time around.

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