Question: A sample of patients suffering from a rare sleep disorder is tested to assess the amount of time in stage IV sleep. It has been hypothesized that individuals suffering from this disorder may spend less time per night in the deeper stages of sleep. Number of minutes spent in Stage IV sleep is recorded for sixty patients. The sample produced a mean of 48 minutes (SD = 14 minutes) of stage IV sleep over a 24 hour period of time.

1. Compute a 95 percent confidence interval for this data. Average time = 48; SD = 14; number of draws = 60. Z-score of 95% confidence is approximately 2 Confidence interval is C.I. = (44.39, 51.61)
2. What does this confidence interval mean in the context of this problem? We’re 95% confident that the average amount of time in stage IV sleep falls within (44.39, 51.61)

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