Your Task: NORMAL DISTRIBUTION 1. Select one of the following topics: PARANORMAL DISTRIBUTION Test scores . Driving speeds . Plane arrival times . Filling jars with honey 2. Calculate the mean, variance, and standard deviation (show your work for variance and standard deviation calculations) [5] 3. Create a frequency histogram and frequency polygon (can be done on the same graph) [4] 4. Give a brief description of how you know the information is in a Normal distribution [2] 5. Select two values in your data, and calculate the probability between that interval (show your work for at least 1 of the probability calculations) [4] 6. With the probability calculated in #5, perform a 90% confidence interval on that probability determine the margin of error, and calculate the confidence interval range (show your work for the calculation of margin of error and range) [5] /20 Your assignment submission should have: The table with your data Your answers to 1-6 . Frequency histogram and polygon graph(s)Test Score, Frequency Driving Speeds, kmh |Frequency (under and over speed 45-49 C limit) 50-54 0 -21 to -30 2 55-59 -11 to -20 2 60-64 3 -1 to -10 3 65-69 0 9 70-74 11 1 to 10 32 75-79 25 11 to 20 65 80-84 12 21 to 30 25 85-89 8 31 to 40 10 90-94 5 41 to 50 2 95-100 Plane Arrival Times, Frequency Filling Jars with Frequency minutes (before and Honey, mL after scheduled time) 150-152 2 -10 to -19 2 153-155 6 -1 to -9 156-158 11 0 (on time) 7 159-161 18 1 to 9 18 162-164 12 10 to 11 37 165-167 5 21 to 30 65 168-170 2 31 to 40 42 171-173 41 to 50 20 174-176 0 51 to 60 9 177-179 2 180-182