1. Standardized IQ tests have a mean of 100 and a standard deviation of 15. What percentage of scores fall between the scores of X = 80 and X = 120? Be sure to sketch and label the distribution to completely answer the question.

2. We know that SAT scores fall on a standardized distribution with a mean of M = 500 and s_x = 100. Kim earns an SAT score of X = 640.

a. What is Kim's z-score?

b. What percentage of the population scoredlower than Kim?

c. Sketch the distribution showing the mean and Kim's score. Include raw scores and z-scores in your sketch.

3. Which z-score divides the normal distribution such that approximately 10% of the distribution is in the right-hand tail (above the z-score)?

4. Pretend you take an exam that has a mean of M = 80 and standard deviation of s_x = 10. What is your raw score (X) if your z-score is -1.5?

5. Supposed you received a 95 on an exam where the mean score was 83. What is your score's deviation?