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Probability and Statistics for Engineering and the Sciences | 8th Edition | ISBN: 9780538733526 | Authors: Jay L. Devore
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Solved: The propagation of fatigue cracks in various

Chapter 1, Problem 39E

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QUESTION:

Problem 39E

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):

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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QUESTION:

Problem 39E

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):

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?

ANSWER:

Solution :

Step 1 of 1:

Consider the data.

0.736

0.863

0.865

0.913

0.915

0.937

0.983

1.007

1.011

1.064

1.109

1.132

1.14

1.153

1.253

1.394

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