Asked by Andy
I'm kinda stuck on my math homework, does anyone know how to do it?
The results of a blood test at a medical lab are normally distributed with a mean of 60 and a standard deviation of 15. How low must a score be to lie in the lowest 5% of the results?
The results of a blood test at a medical lab are normally distributed with a mean of 60 and a standard deviation of 15. How low must a score be to lie in the lowest 5% of the results?
Answers
Answered by
MathMate
Look up a normal distribution table for the z-score for 5%. It is approximately -1.65 (you'll have to look it up and refine this value).
This means that all results lower than X=mean - 1.65*σ
= 60-1.65*15
= 35.25 approximately.
will lie within the lowest 5%, if the results are normally distributed.
This means that all results lower than X=mean - 1.65*σ
= 60-1.65*15
= 35.25 approximately.
will lie within the lowest 5%, if the results are normally distributed.
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