The propagation of fatigue cracks in various aircraft parts has been the subject

Question

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. 0.724 0.850 0.866 0.905 0.922 0.937 0.969 1.010 1.037 1.042 1.104 1.115 1.131 1.150 1.254 1.356 (a) Compute and compare the values of the sample mean X and median ž. (Round your answers to four decimal places.) flight hours/104 flight hours/104 (b) By how much could the largest sample observation be decreased without affecting the value of the median? (Enter your answer to three decimal places.) flight hours/101

Explanation / Answer

from above given data :

sample mean =1.0233 flight hours

and median =(n+1)/2 th value =(16+1)/2 th value =8.5 th value =(1.010+1.037)/2 =1.0235

b)

largest observation can e reduced to 1.037 without affecting median,

therefore decrease =1.356-1.037 =0.319

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