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Statistics / Applied Statistics and Probability for Engineers 6 / Chapter 6.1 / Problem 14E

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

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Preventing fatigue crack propagation in aircraft

Chapter 6, Problem 14E

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QUESTION:

Preventing fatigue crack propagation in aircraft structures is an important element of aircraft safety. An engineering study to investigate fatigue crack in n = 9 cyclically loaded wing boxes reported the following crack lengths (in mm): 2.13, 2.96, 3.02, 1.82, 1.15, 1.37, 2.04, 2.47, 2.60. Calculate the sample mean and sample standard deviation. Prepare a dot diagram of the data.

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QUESTION:

Preventing fatigue crack propagation in aircraft structures is an important element of aircraft safety. An engineering study to investigate fatigue crack in n = 9 cyclically loaded wing boxes reported the following crack lengths (in mm): 2.13, 2.96, 3.02, 1.82, 1.15, 1.37, 2.04, 2.47, 2.60. Calculate the sample mean and sample standard deviation. Prepare a dot diagram of the data.

ANSWER:

Solution:

Step 1 of 2:

Given the 9 observations are

2.13	2.96	3.02	1.82
1.15	1.37	2.04	2.47
2.60

We need to calculate the sample mean and sample standard deviation. And to prepare a dot diagram of the data.

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