The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses HoH = 10,000 steps versus Ha u # 10,000 steps where u = the true mean number of steps taken per day. Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis? O p = 9,000 O H = 9,500 O H = 10,000 O H = 10,500

MATLAB: An Introduction with Applications
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The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the
recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of
testing the hypotheses Ho:u = 10,000 steps versus Ha p # 10,000 steps where p = the true mean number of steps
taken per day.
Which of the following values of the alternative hypothesis would yield the greatest power to reject the null
hypothesis?
Ο μ-9,000
O p =9,500
O H = 10,000
Ο μ 10,500
Transcribed Image Text:The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses Ho:u = 10,000 steps versus Ha p # 10,000 steps where p = the true mean number of steps taken per day. Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis? Ο μ-9,000 O p =9,500 O H = 10,000 Ο μ 10,500
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