9. The human brain's delay in response to a sound has been found to be 5.68 milliseconds. A random sample of 10 participants is selected, and each subject is asked to go without sleep for 24 hours before a test for brain stem auditory response latency. The average latency is found to be 5.85 milliseconds, with s = 0.14. Test the hypothesis that lack of sleep has no effect on average latency.

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**Problem 9:**

The human brain’s delay in response to a sound has been found to be 5.68 milliseconds. A random sample of 10 participants is selected, and each subject is asked to go without sleep for 24 hours before a test for brain stem auditory response latency. The average latency is found to be 5.85 milliseconds, with \( s = 0.14 \). Test the hypothesis that lack of sleep has no effect on average latency.
Transcribed Image Text:**Problem 9:** The human brain’s delay in response to a sound has been found to be 5.68 milliseconds. A random sample of 10 participants is selected, and each subject is asked to go without sleep for 24 hours before a test for brain stem auditory response latency. The average latency is found to be 5.85 milliseconds, with \( s = 0.14 \). Test the hypothesis that lack of sleep has no effect on average latency.
6. A company has developed a training procedure to improve scores on the SAT. Following the training, 100 high school students take the SAT. The average math score is 517, with \( s = 90 \). Assuming \( \mu = 500 \) for the math SAT, test the null hypothesis. Did the training significantly improve scores (\( \alpha = .05 \), directional)?

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Transcribed Image Text:6. A company has developed a training procedure to improve scores on the SAT. Following the training, 100 high school students take the SAT. The average math score is 517, with \( s = 90 \). Assuming \( \mu = 500 \) for the math SAT, test the null hypothesis. Did the training significantly improve scores (\( \alpha = .05 \), directional)? There are no graphs or diagrams in the image.
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