Imagine that two researchers independently carry out experiments to test the same null and alternative hypotheses. They use the same population for their studies, but one experimenter uses a sample size of 30 subjects, whereas the other uses a sample size of 60. Assume that all other aspects of the studies, including the levels of rejection, are the same. a. Which study has the higher probability of a Type I error, the 30-subject study or the 60-subject study? How do you know? b. Which study has the higher probability of a Type II error, the 30-subject study or the 60-subject study? How do you know?
Imagine that two researchers independently carry out experiments to test the same null and alternative hypotheses. They use the same population for their studies, but one experimenter uses a sample size of 30 subjects, whereas the other uses a sample size of 60. Assume that all other aspects of the studies, including the levels of rejection, are the same. a. Which study has the higher probability of a Type I error, the 30-subject study or the 60-subject study? How do you know? b. Which study has the higher probability of a Type II error, the 30-subject study or the 60-subject study? How do you know?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:Imagine that two researchers independently carry out experiments to test the same null and
alternative hypotheses. They use the same population for their studies, but one experimenter uses
a sample size of 30 subjects, whereas the other uses a sample size of 60. Assume that all other
aspects of the studies, including the levels of rejection, are the same.
a. Which study has the higher probability of a Type I error, the 30-subject study or the 60-subject
study? How do you know?
b. Which study has the higher probability of a Type II error, the 30-subject study or the 60-subject
study? How do you know?
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