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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 11MCQ

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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 \( \mu = 240 \) and \( \sigma = 30 \).

a. If the researcher uses a two-tailed test with \( \alpha = .05 \), what is the power of the hypothesis test?

b. Again assuming a two-tailed test with \( \alpha = .05 \), what is the power of the hypothesis test if the sample size is increased to \( n = 25 \)?

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