1. A random sample of 85 students finds that they, on average, they get 6.5 hours of sleep a night, with a sample standard deviation of 7 hours.
   1. Would you use the z-distribution or the t-distribution to construct a confidence interval? How do you know?
   2. Construct a 95% confidence interval for the population mean. How do you interpret this interval?
   3. Is it likely that students actually get 7 hours of sleep a night? How can you tell?

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