An experiment to study the lifetime (in hours) for a

Probability and Statistics for Engineering and the Sciences | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole, Raymond H. Myers

Problem 43E Chapter 1

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Probability and Statistics for Engineering and the Sciences | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole, Raymond H. Myers

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 43E

An experiment to study the lifetime (in hours) for a certain type of component involved putting ten components into operation and observing them for 100 hours. Eight of the components failed during that period, and those lifetimes were recorded. Denote the lifetimes of the two components still functioning after 100 hours by 100+ . The resulting sample observations were Which of the measures of center discussed in this section can be calculated, and what are the values of those measures? [?Note: ?The data from this experiment is said to be “censored on the right.”]

Step-by-Step Solution:

Answer : Step 1 of 2 : Given, An experiment to study the lifetime (in hours) for a certain type of component involved putting ten components into operation and observing them for 100 hours. Eight of the components failed during that period, and those lifetimes were recorded. Denote the lifetimes of the two components still functioning after 100 hours by 100+ . The resulting sample observations were 48 79 100+ 35 92 86 57 100+ 17 29 The claim is to find the measures of center discussed in this section can be calculated, and what are the values of those measures. The median and certain trimmed means can be calculated, while the mean cannot — the exact values of the “100+” observations are required to calculate the mean Median = 57+79 2 = 68

Step 2 of 2

Chapter 1, Problem 43E is Solved
Textbook: Probability and Statistics for Engineering and the Sciences
Edition: 9
Author: Ronald E. Walpole, Raymond H. Myers
ISBN: 9780321629111

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