3 Directions: Please provide all answers using complete sentences. You are required to show your work on any item that involves calculations. 1. Please refer to the data below depicting the total precipitation recorded (in inches) at Austin Bergstrom International Airport in each of the past 10 years (each question worth 1 point): 2016 = 2015 = 2014 = 2013 = 2012 = 2011 = 2010 = 2009 = 2008 = 2007 = 53.86 59.96 35.56 37.04 35.13 16.90 28.42 34.11 15.98 45.91 a) What is the M number of inches per year during this time period? b) What is the SD for precipitation during this time period? c) What is the z-score that corresponds to 2008's precipitation? d) What is the z-score that corresponds to 2015's precipitation? e) What is the T-score that corresponds to 2011's precipitation? f) What is the probability of observing 2015's precipitation total? 2. What percentage of the data in a normal distribution is to be found beyond 2 SD from the mean? 3. In the sport of bodybuilding, it is generally agreed that the largest flexed bicep circumference (in inches) that can be achieved without the use of performance enhancing substances is 18.00. Please answer the following questions (each item worth 1 point): a) Determine, and explicitly provide, the probability of observing a flexed bicep circumference b) c) (in inches) of 18.00 (N = 200, M = 14.80, SD = 1.42) in a sample of college-aged men What is the z-score that corresponds to a measurement of 18.00 in. biceps in this sample? Based on this, how many men in the sample would you expect to have 18.00 in. biceps or larger