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A car testing company tests its cars for the durability of [#permalink]
18 Feb 2006, 15:14

A car testing company tests its cars for the durability of its tires. The company tested a certain number of tires for the length of their durability. Is the median time greater than the mean time?

I. More than 25% of the tires lasted longer than 4000 hours

II. Less than 50% of the tires lasted longer than 1000 hours

Let's assume that the company tested 3 tires.
If we have 2 tires that lasted 5000 hours et 1 that lasted 4000 hours. Median is 5000 and mean is 4666 hours.
If we have 1 tire that lasted 5000 hours et 2 that lasted 4000 hours. Median is 4000 and mean 4333 hours.

Is the answer C? Answer Choice C applies for all n > 2.
For n <= 2, the question stem does not make sense because 50% of 2 is 1 and less than 50% of the tires (here 2) last more than 1000 hours.

So, I think the answer should be C.
Can you please give the OA?

I would say C if the 2 hypothesis were:
I. More than 25% of the tires lasted longer than 4000 hours
II. More than 50% of the tires lasted longer than 1000 hours

In this case for 1+2) we would have:
Median < 1000 since at least 50% of tires < 1000
and Mean > 1000 since at least 25% of tires >4000

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