Question

The amount of sleep that college students get during a typical weeknight is Normally distributed, with amean of 6.8 hours and a standard deviation 0.7 hours. According to the Empirical Rule, this means thatapproximately 68% of college students get betweenhours of sleep during atypical weeknight.5.4 and 8.26.1 and 7.54.8 and 8.8O 5.8 and 7.8O 4.7 and 8.9

Answer 1

6.1 and 7.5

Explanation:

We have the following:

mean = m = 6.8

standard deviation = sd = 0.7

Using the above, we have that about 68% data values are contained in the interval:

`\begin{gathered} \lbrack m-1\cdot sd,m+1\cdot sd\rbrack \\ \text{ replacing} \\ \lbrack6.8-1\cdot0.7,6.8+1\cdot0.7\rbrack \\ \lbrack6.1,7.5\rbrack \end{gathered}`

Therefore the values would be between 6.1 and 7.5