- #1
lavster
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Homework Statement
Apologies if this is not meant to go into homework area; this is not a homework or coursework question, but more to convince myself that what I am reading is correct
I have attached the diagram I am pondering over... How can I prove that if I want to differentiate between two objects at the 95% level then the difference between the mean of the two distributoins must be 3.29σ (*assume the standard deviation is the same for both distribution*)
I.e. i want to prove the distance in the attached image is 3.29σ
Homework Equations
The Attempt at a Solution
95% (two tailed distribution is normally +/-1.96*σ). Therefore I naively thought that the distance would be two times this ie 3.92σ. This has the same numbers but in the wrong order! I am sure I am missing something obvious but as I am not clued up in my statistics I am finding it difficult to see what is wrong with my approach. Can anyone shed some light?!
thanks