Judy’s measured potassium level varies according to the Normal distribution with ?=3.8μ=3.8 and ?=0.2σ=0.2 mmol/l. Let us consider what could happen if we took four separate measurements from Judy. What is the blood potassium
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Judy’s measured potassium level varies according to the
What is the blood potassium level ?L such that the
And here is the solution I got for the answer I was given: The mean of four measurements has the ?(3.8,0.1)N(3.8,0.1) distribution. We find in Table B that ?(?<−1.645)=0.05P(Z<−1.645)=0.05 , so ?=3.8−1.645⋅0.1≈3.64L=3.8−1.645⋅0.1≈3.64 .
I'm confused as to how they got P(Z<-1.645). I tried looking through the Z-Table they attached but came up with nothing. Could you please help me?
Here is the Z-Table: psls_tables.dvi (saplinglearning.com)
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