1. Explain what it means for the Normal Distribution to be symmetrical about the mean. 2. Why is it important to know the mean and standard deviation for a data set when applying the empirical rule? 3. If we are focused on 68% of the normal distribution, what percentage of the distribution is left in the upper tail only? 4. What value separates the 50% of the distribution from the other 50% of the distribution? Consider this scenario for questions 5 - 8. Show your work. A standardized test was given to a set of high school juniors and the distribution of the data is bell shaped. The mean score is 800 and the standard deviation is 120. 5. Between which two scores did 95% of the students score? 6. To qualify for a special summer camp for accelerated students, a student must score within the top 16% of all scores on the test. What score must a student make to qualify for summer camp? 7. What score is 1/2 standard deviation above the mean? 8. A student scores 900 on the test. How many more points did the student need to qualify for summer camp? Consider the following scenario for questions 9-12. Show your work. On the average, members at a local fitness center work out for 90 minutes with a standard deviation of 15 minutes. The distribution is normal. 9. What percentage of the fitness club members work out for 45 minutes or less? 10. What percentage of the fitness club members work out for 2 hours and 15 minutes or more? 11. 68% of the fitness club members work out between which two time intervals? 12. We can say that 99.85% of the fitness club members work out for no more than ____________ minutes.