A researcher is testing the hypothesis that all teenagers spend an average of 8 hours on their computers during the weekends. He knows that the standard deviation is 0.3 hour. He selects a sample of 144 teenagers and decides to reject the null hypothesis when the sample mean is 8.5 hours or less.
a. What us the probability of that the researcher commits a type I error?
b. If the true population mean is 7 hours, what is the probability that the he commits a type II error?
c. Determine the power of test.
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