Chapter 5 - z-Scores: Location of Scores and Standardized Distributions - Problems - Page 146: 10

a. When μ = 40, σ = 20 X = 45, z =$\frac{X-μ}{σ}$ = $\frac{45-40}{20}$ = $\frac{5}{20}$ = 0.25 b. When μ = 40, σ = 10 X = 45, z =$\frac{X-μ}{σ}$ = $\frac{45-40}{10}$ = $\frac{5}{10}$ = 0.5 c. When μ = 40, σ = 5 X = 45, z =$\frac{X-μ}{σ}$ = $\frac{45-40}{5}$ = $\frac{5}{5}$ = 1 d. When μ = 40, σ = 2 X = 45, z =$\frac{X-μ}{σ}$ = $\frac{45-40}{2}$ = $\frac{5}{2}$ = 2.5

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