Strong bolts: Five different variations of a bolt-making process are run to determine whether any of them
Question:
Strong bolts: Five different variations of a bolt-making process are run to determine whether 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?
i. Implement the process whose P-value was 0.03, because it performed the best.
ii. Because none of the processes had Bonferroni-adjusted P-values less than 0.05, we should continue with the current process.
iii. Rerun the process whose P-value was 0.03 to determine whether it remains small in the absence of multiple testing.
iv. Rerun all five variations again, to determine whether any of them produce a small P-value the second time around.
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