A researcher plans to conduct an experiment evaluating the effect of a treatment. A sample of n = 9 participants is selected and each person receives the treatment before being tested on a standardized dexterity task. The treatment is expected to lower scores on the test by an average of 30 points. For the regular population, scores on the dexterity task form a normal distribution with μ = 240 and σ = 30. a. If the researcher uses a two-tailed test with α = .05, what is the power of the hypothesis test? b. Again assuming a two-tailed test with α = .05, what is the power of the hypothesis test if the sample size is increased to n = 25?

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A researcher plans to conduct an experiment evaluating the effect of a treatment. A sample of n = 9
participants is selected and each person receives the
treatment before being tested on a standardized dexterity task. The treatment is expected to lower scores
on the test by an average of 30 points. For the regular
population, scores on the dexterity task form a normal
distribution with μ = 240 and σ = 30.
a. If the researcher uses a two-tailed test with
α = .05, what is the power of the hypothesis test?
b. Again assuming a two-tailed test with α = .05,
what is the power of the hypothesis test if the
sample size is increased to n = 25?

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