Question

The distribution of hours of sleep per week night, among college students, is found to be Normally distributed, with a mean of 6.5 hours and a standard deviation of 1 hour. What range contains the middle 95 % of hours slept per week night by college students?

Answer 1

Answer:

4.5 and 8.5 hours.

Step-by-step explanation:

The empirical 95% rule states that, in a normal distribution, 95% of the data falls within two standard deviations bellow or above the mean. If the mean is 6.5 hours and the standard deviation is 1 hour, the interval is:

$6.5-2*1\leq x \leq 6.5+2*1\\4.5\leq x \leq 8.5$

The range that contains the middle 95 % of hours slept per week night by college students is 4.5 to 8.5 hours.