1. (5 pts) Imagine that the average time on the 100 m. distance among profession

Question

1. (5 pts) Imagine that the average time on the 100 m. distance among professional male sprinters is 11 seconds with a standard deviation of 1.5. For long jumping, the average distance is 6.5 meters (among men) with a standard deviation of 1.3. Matt and Dave are brothers and are at the same track meet. Matt competes in the 100 m sprint and Dave competes in the long jump. Matt ran 100 m. in 12.5 seconds. How far should his brother Dave jump to be as good as his brother? (Hint: what should Dave's distance be for him to beat the same amount of jumpers as his brother did for runners?) Be careful with this problem - there is a trick here

Explanation / Answer

Matt runs 100 m in 12.5 seconds

so here z score of Matt = (11 - 12.5)/1.5 = -1

as we know the unit of Matt competes competition is time not seconds.

Here so z score of Dave is = 1

so Dave Should jump = 6.5 + 1 * 1.3 = 7.8 m

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