Hercule and Jane are in a dispute over the average amount of time it will take to finish a case. The hypotheses are Ho: H = 15 days vs. Ha: µ< 15 days. To test the hypotheses, they each collect a different sample. Hercule, based on his sample, rejects the null hypothesis. Jane, based on her sample, fails to reject the null hypothesis. It turns out that the true average case length is 13 days. Which of the following is correct? A. Hercule committed no error, while Jane committed a Type Il error. B. Hercule committed a Type I error, while Jane committed no error. C. Hercule committed no error, while Jane committed a Type I error. D. More information is needed to determine which error types have occurred. E. Hercule committed a Type Il error, while Jane committed no error.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Hercule and Jane are in a dispute over the average amount of time it will take to finish a case.
The hypotheses are Ho: H= 15 days vs. H3: µ< 15 days.
To test the hypotheses, they each collect a different sample. Hercule, based on his sample,
rejects the null hypothesis. Jane, based on her sample, fails to reject the null hypothesis. It turns
out that the true average case length is 13 days.
Which of the following is correct?
A. Hercule committed no error, while Jane committed a Type Il error.
B. Hercule committed a Type I error, while Jane committed no error.
O C. Hercule committed no error, while Jane committed a Type I error.
D. More information is needed to determine which error types have occurred.
E. Hercule committed a Type Il error, while Jane committed no error.
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Transcribed Image Text:Hide Time Remaining A Hercule and Jane are in a dispute over the average amount of time it will take to finish a case. The hypotheses are Ho: H= 15 days vs. H3: µ< 15 days. To test the hypotheses, they each collect a different sample. Hercule, based on his sample, rejects the null hypothesis. Jane, based on her sample, fails to reject the null hypothesis. It turns out that the true average case length is 13 days. Which of the following is correct? A. Hercule committed no error, while Jane committed a Type Il error. B. Hercule committed a Type I error, while Jane committed no error. O C. Hercule committed no error, while Jane committed a Type I error. D. More information is needed to determine which error types have occurred. E. Hercule committed a Type Il error, while Jane committed no error. Reset Selection
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