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

Chapter 1, Problem 43E

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QUESTION:

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.”]

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QUESTION:

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.”]

ANSWER:

Solution

Step 1 of 1

We have to calculate the the measure of center for the given data

Here the centre of measure is median because it is not affected by the extreme values

The values after 100 could be anything but the median will remain the same because we are treating them as 100+

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