1. List four important properties of the normal distribution.
2. Why are z values important when dealing with a normal distribution?
3. How does the variable x relate to the mean μ of a normal distribution given information about the z value? Match the information in column 1 with the corresponding description in column 2.
a. The z value is zero. i. The variable x is larger than the mean μ.
b. The z value is positive. ii. The variable x is smaller than the mean μ.
c. The z value is negative. iii. The variable x is equal to the mean μ.
4. How does the normal distribution relate to the empirical rule and Chebyshev’s theorem, covered in Chapter 3?