The propagation of fatigue cracks in various aircraft parts has been the subject of extensive study in recent years. The accompanying data consists of propagation lives (flight hours/104) to reach a given crack size in fastener holes intended for use in military aircraft (“Statistical Crack Propagation in Fastener Holes Under Spectrum Loading,” J ? . Aircraft? 983: 1028–1032): a. Compute and compare the values of the sample mean and median. b. By how much could the largest sample observation be decreased without affecting the value of the median?

Problem 39E Answer: Step1: The propagation of fatigue cracks in various aircraft parts has been the subject of extensive study in recent years. The accompanying data consists of propagation lives (flight hours/104) to reach a given crack size in fastener holes intended for use in military aircraft (“Statistical Crack Propagation in Fastener Holes Under Spectrum Loading,” J. Aircraft, 1983: 1028–1032): 0.736 0.863 0.865 0.913 0.915 0.937 0.983 1.007 1.011 x 1.064 1.109 1.132 1.14 1.153 1.253 1.394 We need to find, a. Compute and compare the values of the sample mean and median. b. By how much could the largest sample observation be decreased without affecting the value of the median Step2: a). 1).A mean is an average of given data, It is the sum of individual scores divided by the number of individuals and it is given by n xi x = i=1 n Consider, i x 1 0.736 2 0.863 3 0.865 4 0.913 5 0.915 6 0.937 7 0.983 8 1.007 9 1.011 10 1.064 11 1.109 12 1.132 13 1.14 14 1.153 15 1.253 16 1.394 n x = 16.475 n = 16 i=1 i n xi x = i=1 n = 16.475...