Question

In: Statistics and Probability

Suppose X~ N (−2,8) . (a) What value of x has a z-score of 3? (b)...

Suppose X~ N (−2,8) .

(a) What value of x has a z-score of 3?

(b) What value of x has a z-score of −2.7 ?

(c) What is the z-score of x =−3 ?

Solutions

Expert Solution

solution

(A)

Using z-score formula  

x= z * +

x= 3 *8+-2

x= 22

(B)

Using z-score formula  

x= z * +

x= -2.7 *8+-2

x= -23.6

(C)

using z-score formula

z =X -/

z=(-3)-(-2)/8

z= - 0.125


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