1. What proportion of cases in a population fall between the mean and one standard deviation above the mean? (Memorize this number.) What proportion of cases fall between the mean and two standard deviations above the mean? (Memorize this number as well.) With a little adding and subtracting, and perhaps creating a little diagram of the normal curve as an aide, calculate what percentage of cases fall below one standard deviation below the mean. What percentage fall above two standard deviations above the mean?

1. Without doing any additional calculations, identify the standard score that would be assigned to a score that falls 1.84 standard deviations below the mean.

1. Explain with words the formula for calculating z scores. (Memorize this formula.)

1. What does it mean for a z-score to have a positive value? What does it mean for a z-score to have a negative value? Under what circumstances, if any, can a z-score be equal to zero?

1. You score 105 on a test which has a mean of 95 and a standard deviation of 15. Calculate your z-score, showing your work.

1. Describe how to use Table A.2 in the Appendix, Areas Under the Normal Distribution.

1. Miguel scores 81 on a test that has a mean of 72 and a standard deviation of 7. Calculate Miguel's z score. Using Table A.2, calculate what percentage of people got a score higher than Miguel's.