Question

On a test of physical fitness, 18-year-olds' scores are normally distributed with a mean of 140...

On a test of physical fitness, 18-year-olds' scores are normally distributed

with a mean of 140 and a standard deviation of 25.
Approximately what percentage of 18-year-olds have scores above 190? Below 165? Below 115?
Use the normal curve approximation rules.

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Page No.: Solution : Given el = 190, 6 = 25. 0 percentage of 18 year olds have scores above igo ie Plx> 190) X-> 190.tl 2 PlzPage No.: percentage of 18 year olds have ouble P ( X (165) score below 165. to pl ie. = pfx-tec 165.4) 165-140 PAZ 165,149)e percentage of spate 18 year olds have score below 115 ise PlX <115) Plxalla ITS- 115-140 elza 25 Plzcal) 2=1 PlZC1)=0:1587

Number in the table represents PIZS) 02 Z 0.04 0.05 0.09 0.01 5040 .5438 0.0 0.1 .5359 .5160 .5557 0.00 .5000 .5398 .5793 .61

Number in the table represents PIZSZ) 2 0 Z 0.08 0.06 ,0001 .0002 0.05 .0001 .0002 .0003 .0004 .0006 .0008 0.00 -3.6.0002 -3.

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