Assume that a randomly selected subject is given a bone density test. Those test scores are...

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math Statistics-And-Probability

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Answer 1

Answer #1

Let Z denotes the test score of a randomly selected subject.

Z ~ Normal(0, 1)

To find $-z_{alpha }$ such that

P(Z <-?n) = 0.04

$Rightarrow Phi(-z_{alpha }) = 0.04$

テーža = Ф-1 (0,04) =ー1.75069

and also to find $z_{alpha }$ such that

$P(Z>z_{alpha }) = 0.04$

$Rightarrow 1 - P(Zleq z_{alpha }) = 0.04$

$Rightarrow P(Zleq z_{alpha }) =1 - 0.04 = 0.96$

$Rightarrow Phi(z_{alpha }) =0.96$

ža = ФР-1 (0.96) 1.75069

The bone density scores are -1.75069, 1.75069

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Answer 2

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