Math Problem Statement

A variable xx is normally distributed with mean 24 and standard deviation 5. Round your answers to the nearest hundredth as needed.

a) Determine the zz-score for x=27x=27.

z=z=

b) Determine the zz-score for x=22x=22.

z=z=

c) What value of xx has a zz-score of 1.21.2?

x=x=

d) What value of xx has a zz-score of 00?

x=x=

e) What value of xx has a zz-score of 00?

x=x=

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Z-scores

Formulas

z = (x - μ) / σ

Theorems

Properties of Normal Distribution

Suitable Grade Level

Grades 10-12