Question: A researcher is preparing a randomized controlled experiment where subjects will be randomly assigned to one of two groups, and then correspondingly be either

A researcher is preparing a randomized controlled experiment where subjects will be

A researcher is preparing a randomized controlled experiment where subjects will be randomly assigned to one of two groups, and then correspondingly be either given a cookie or whacked in the head with a foam pool noodle. All subjects will then take a standardized test. The researcher hopes to see a difference in test scores between the two groups; based on an estimate of the effect size obtained from pilot data, the project's statistician says that they will need 25 subjects in each group to have 80% power under the usual test of two means paradigm. If a lab assistant discovers that the effect size calculated in the pilot study was incorrect, and is in fact only half of what had been previously estimated, will the required per- group sample size be higher than, lower than or equal to 25?

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