An experiment to study the lifetime (in hours) for a certain type of component i

Question

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 sng after 100 hours by 100+. The resulting sample observations were as follows 49 78 100+35 92 85 56 100+ 18 28 Which of the measures of conter discussed in this section can be calculated? [Note: The data from this experiment is said to be "censored on the right."] (Seloct all that apply.) population mean sample mean 10% trimmed mean 20% trimmed mean o population median sample median What are the values of those measures? (Enter NONE for any measure of center you did not select above. Round your answers to two decimal places.) population mean sample mean 10% trimmed mean 20% trimmed mean population median sample median

Explanation / Answer

a)

20 % trimmed mean

sample median

can be calculated

b)

arranging data

18   28   35   49   56   78   85   92   100+ 100+

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median=(56+78)/2=67

20% trimmed mean = 1/6(35 + 49 + 56 + 78   +85+ 92)

= 65.8333333

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