(Ch.4, Q.1) need answer: An experiment to study the lifetime (in hours) for a ce
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Question
(Ch.4, Q.1) need answer:An experiment to study the lifetime (in hours) for a certain type of component involved putting 10 components into operation and observing them for 100 hr. Eight of the components failed during that period, and those lifetimes were recorded. The lifetimes of the two components still functioning after 100 hr are recorded as 100+.
There were resulting sample observations.
42 75 100+ 33 94 88 55 100+ 19 23
Which of the measures of center can be calculated, and what are the values of those measures? (Round all answers to two decimal places.) Median: ? ?% trimmed mean ?
(? marks are blanks)
(Ch.4, Q.1) need answer:
An experiment to study the lifetime (in hours) for a certain type of component involved putting 10 components into operation and observing them for 100 hr. Eight of the components failed during that period, and those lifetimes were recorded. The lifetimes of the two components still functioning after 100 hr are recorded as 100+.
There were resulting sample observations.
42 75 100+ 33 94 88 55 100+ 19 23
Which of the measures of center can be calculated, and what are the values of those measures? (Round all answers to two decimal places.) Median: ? ?% trimmed mean ?
(? marks are blanks)
An experiment to study the lifetime (in hours) for a certain type of component involved putting 10 components into operation and observing them for 100 hr. Eight of the components failed during that period, and those lifetimes were recorded. The lifetimes of the two components still functioning after 100 hr are recorded as 100+.
There were resulting sample observations.
42 75 100+ 33 94 88 55 100+ 19 23
Which of the measures of center can be calculated, and what are the values of those measures? (Round all answers to two decimal places.) Median: ? ?% trimmed mean ?
(? marks are blanks) An experiment to study the lifetime (in hours) for a certain type of component involved putting 10 components into operation and observing them for 100 hr. Eight of the components failed during that period, and those lifetimes were recorded. The lifetimes of the two components still functioning after 100 hr are recorded as 100+.
There were resulting sample observations.
42 75 100+ 33 94 88 55 100+ 19 23
Which of the measures of center can be calculated, and what are the values of those measures? (Round all answers to two decimal places.) Median: ? ?% trimmed mean ?
(? marks are blanks)
Explanation / Answer
ans=
The median should be the average of the two "middle" measurements,
so it's (55+75)/2 = 130/2
= 65 hrs
The 20% trimmed mean would be found by discarding the two 100+ measurements
and also the two smallest (19, 23), then finding the mean of
42 75 33 94 88 55
which comes out to 387/6 = 64.5 hrs.
The actual mean (which cannot be calculated from the data) is likely to be higher,
since it's entirely possible that the combined lifetime of the two long-lived components
could've been more than 128.34 hrs. But if they "would've failed" soon after the 100 hrs,
then the actual mean would be lower than the trimmed mean.
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