Chapter 5 - z-Scores: Location of Scores and Standardized Distributions - Problems - Page 146: 5

When μ = 40, σ = 11 X = 45, z =$\frac{X-μ}{σ}$ = $\frac{45-40}{11}$ = $\frac{5}{11}$ = 0.4545 X = 52, z = $\frac{X-μ}{σ}$ = $\frac{52-40}{11}$ = $\frac{12}{11}$ = 1.0909 X = 41, z = $\frac{X-μ}{σ}$ = $\frac{41-40}{11}$ = $\frac{1}{11}$ = 0.0909 X = 30, z = $\frac{X-μ}{σ}$ = $\frac{30-40}{11}$ = $\frac{-10}{11}$ = -0.9091 X = 25, z = $\frac{X-μ}{σ}$ = $\frac{25-40}{11}$ = $\frac{-15}{11}$ = -1.3636 X = 38, z = $\frac{X-μ}{σ}$ = $\frac{38-40}{11}$ = $\frac{-2}{11}$ = -0.1818

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