1. A set of test scores is normally distributed with a mean of 76 points and a standard deviation of 8 points. Round your answers to the nearest percentile. a. A student with a score of 76 points would be in the____th percentile. b. A student with a score of 68 points would be in the ____th percentile. c. A student with a score of 95 points would be in the_____th percentile. 2. Which of the following statements are TRUE about the normal distribution? Check all that apply. a. The mean corresponds to the z-score of 1. b. A z-score is the number of standard deviations a specific data value is from the mean of the distribution. c. The area to the left of a z-score plus the area to the right of that same z-score will always equal 1. d. The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. e. A data value with z-score = -1.5 is located 1.5 standard deviations below the mean.

3. A set of 500 exam scores is normally distributed with a mean = 74 and standard deviation = 5. Use the Empirical Rule to complete the statements below. a. How many students scored higher than 74? ____ b. How many students scored higher than 69?____

4. Which of the following statements are TRUE about the Normal Distribution? Check all that apply. a. 50% of the data values lie at or above the mean. b. A z-score is the number of standard deviations a specific data value is from the mean of the distribution. c.The graph of the Normal Distribution is bell-shaped, with tapering tails that never actually touch the horizontal axis. d. Data values farther from the mean are less common than data values closer to the mean. e. The mean corresponds to the z-score of 1. f. About 95% of all data values lie within 1 standard deviation of the mean. g. The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. h. Data values are spread evenly around the mean. I. The distribution is symmetric with a single peak. J. The mean, median and mode are all equal and occur at the center of the distribution.