d. The mean score on the ACT is 21 with a standard deviation of 5.2. Which student scored higher: Abby with a score of 32 on the ACT, or Barbara with a score of 1910 on the SAT? 7. If the mean of a normal distribution is 69 points with a standard deviation of 8 points, find the following: (4 points each) a. The z-score of 88 points. b. What percentile 88 points represents. c. The area under the normal curve between 61 and 85 using the Empirical Rule. 3. Calculate probabilities associated with the following z and t values: (4 points each) a. P(z < 0.65) b. P(z 1.78) c. P(t> 1.8, df = 3)