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Suppose X ~ N(8, 1). What value of x has a z-score of –2.25?

Short Answer

Expert verified

The value of xis5.75

Step by step solution

01

Given Information

Given that, z=-2.25. And,

X~N(8,1)Where,

μ=8

σ=1

We have to find the value ofx

02

Explanation

The value ofz-score can be calculated as below:

z=x-μσ

Put the provided values in the above expression. Then,

-2.25=x-81

x-8=-2.25×1

x=-2.25+8

x=5.75

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