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Chapter 6: Q 15 (page 385)

15. Suppose X ~ N(2, 6). What value of x has a z-score of three?

Short Answer

Expert verified

The value of xis20

Step by step solution

01

Given Information

Given that,

z=3And,

X~N(2,6)Where,

μ=2

σ=6

02

Explanation

We can Calculate the value of the z-score as below:

z=x-μσ

Substitute the provided values in the above expression. Then,

3=x-26

x-2=3×6

x=18+2

x=20

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