Question

For a population with μ = 60 , z-score =3.15, and σ = 10. Find random variable / data value X . Round your answer to the nearest hundredths place. Round your answer to 2 decimal places.

Answer 1

X = 91.50

Explanation:

The relation that defines a Z value can be used to find an X value when the appropriate parameters are given.

Z-score

The equation for finding the Z-score associated with an X-value is ...

Z = (X -μ)/σ

Solving this for X using the values given, we have ...

3.15 = (X -60)/10

31.5 = X -60 . . . . . . . multiply by 10

91.5 = X . . . . . . . . add 60

The random variable value is ...

X = 91.50