Question

A normal distribution has *μ* = 30 and *σ* =
5.

(a) Find the *z* score corresponding to

* x* = 25.

(b) Find the *z* score corresponding to

* x* = 41.

(c) Find the raw score corresponding to

* z* = −3.

(d) Find the raw score corresponding to

* z* = 1.5.

Answer #1

solution

using z-score formula

z =X -/

z=25-30/5

z=-1

using z-score formula

z =X -/

z=41-30/5

z=2.2

Using z-score formula

x= z * +

x= -3*5+30

x= 15

Using z-score formula

x= z * +

x= 1.5*5+30

x= 37.5

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