Math Solutions

[See Solution] Total sleep time of college students. In Example 5.1, the total sleep time per night among college students was approximately Normally distributed

Question: Total sleep time of college students. In Example 5.1, the total sleep time per night among college students was approximately Normally distributed with mean \(\mu=7.02\) hours and standard deviation \(\sigma=1.15\) hours. Suppose you plan to take an SRS of size \(n=200\) and compute the average total sleep time.

  1. What is the standard deviation for the average time?
  2. Use the 95 part of the 68-95-99.7 rule to describe the variability of this sample mean.
  3. What is the probability that your average will be below 6.9 hours?

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