6.24 Total sleep time of college students. In Example 5.4 (page 293), the total sleep time per night among college students was approximately Normally distributed with mean = 6.78 hours and standard deviation o = 1.24 hours. You initially plan to take an SRS of size n = 175 and compute the average total sleep time. (a) What is the standard deviation for the average time in hours? in minutes? (b) Use the 95 part of the 68-95-99.7 rule to describe the variability of this sample mean.

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**Total Sleep Time of College Students**

In Example 5.4 (page 293), the total sleep time per night among college students was approximately normally distributed with a mean \(\mu = 6.78\) hours and a standard deviation \(\sigma = 1.24\) hours. You initially plan to take a simple random sample (SRS) of size \(n = 175\) and compute the average total sleep time.

**(a)** What is the standard deviation for the average time in hours? In minutes?

**(b)** Use the 95 part of the 68–95–99.7 rule to describe the variability of this sample mean.
Transcribed Image Text:**Total Sleep Time of College Students** In Example 5.4 (page 293), the total sleep time per night among college students was approximately normally distributed with a mean \(\mu = 6.78\) hours and a standard deviation \(\sigma = 1.24\) hours. You initially plan to take a simple random sample (SRS) of size \(n = 175\) and compute the average total sleep time. **(a)** What is the standard deviation for the average time in hours? In minutes? **(b)** Use the 95 part of the 68–95–99.7 rule to describe the variability of this sample mean.
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