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Help for HL Option Stats and Prob


IBTopper

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On 9/19/2016 at 11:24 AM, IBTopper said:

Hi, can someone please help me solve this problem? 

It is part of the HL Option Statistics and Probability

Screen Shot 2016-09-19 at 9.53.50 PM.png

Take my answer with a grain of salt since I didn't learn the option, but simply found the textbook this was in and read some previous pages.
Formula Var (sample mean) = Var(population) / sample size n.
Then EQUATION A) σ (sample mean) = 
σ (population) / sqrt(n), n = 2

Given: B) σ(sample mean) = σ(population) - 20
Substitute B) into A), σ(population) - 20 = σ(population) / sqrt(2)

σ(population) (1 - 1/sqrt(2)) = 20
σ(population) = 20/(1 - 1/sqrt(2)) = 68.3

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