Analyze the following problem and solve:

The typical amount of sleep per night for secondary students has a bell-shaped distribution with a mean of 7 hours and a standard deviation equal 1.7 hours. Use the Empirical Rule to complete each sentence.

1. About 68% of secondary students typically sleep between _________ and _________ hours per night. Write your answer as (example: 7 and 10).

2. About 95% of secondary students typically sleep between _________ and _________ hours per night. Write your answer as (example: 7 and 10).

3. About 99.7% of secondary students typically sleep between _________ and _________ hours per night. Write your answer as (example: 7 and 10).

4. The two z-values such that the area bounded by them is equal to the middle 90 percent of the standard normal distribution is _________.

5. Draw a picture of the distribution (normal curve). Indicate the locations of the three intervals found in the previous exercise (Fill in the blanks).