The propagation of fatigue cracks in various aircraft partshas 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 fastenerholes intended for use in military aircraft (“StatisticalCrack Propagation in Fastener Holes Under SpectrumLoading,” J. Aircraft, 1983: 1028–1032):.736 .863 .865 .913 .915 .937 .983 1.0071.011 1.064 1.109 1.132 1.140 1.153 1.253 1.394a. Compute and compare the values of the sample meanand median.b. By how much could the largest sample observationbe decreased without affecting the value of themedian?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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):
.736 .863 .865 .913 .915 .937 .983 1.007
1.011 1.064 1.109 1.132 1.140 1.153 1.253 1.394
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?

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