STAT/MATH 414 Homework #7 due Friday, October 21, 2016 (including the extra credit part) Show all work / Explain your reasoning. 1. Chapter 5, Problems 5.11, 5.13, 5.16, 5.23, 5.28, 5.32, and 5.33. 2. Chapter 5, Theoretical exercise #5.7 and 5.13. 3. As can be seen in the picture to the right, some people say that the western slope of Mount Nittany looks like a normal density curve on a giant scale. The elevation of Lemont, Pennsylvania at the base of the mountain in Happy Valley is about 1007 feet while the elevation at the summit is 2077 feet. Also, if you go down the mountain to an elevation of about 1400 feet, you will be about seven tenths of a mile away from the closest point that is directly below the summit. a) If the eastern slope was symmetrical with the western side and the mountain was a giant depiction of a normal density, what is the \"standard deviation of Mount Nittany\"? b) If you pick a number at random from the \"Mount Nittany Distribution\