Ability of two competing statistical tests


An investigator wishes to compare the ability of two competing statistical tests to declare a mean difference of 15 units statistically significant. The first test has probability 0.9 and the second test has probability 0.8 of being significant if the mean difference is in fact 15 units. It should be concluded for this purpose that

the first test is more powerful than the second

the first test is more robust than the second

the first test is more skewed than the second

the first test is more uniform than the second

the first test is more error prone than the second

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Basic Statistics: Ability of two competing statistical tests
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