Answer
When μ = 60, σ = 12
A.
X = 69, z =$\frac{X-μ}{σ}$ = $\frac{69-60}{12} $ = $\frac{9}{12}$ = 0.75
X = 84, z =$\frac{X-μ}{σ}$ = $\frac{84-60}{12}$ = $\frac{24}{12}$ = 2.0
X = 63, z =$\frac{X-μ}{σ}$ = $\frac{63-60}{12}$ = $\frac{3}{12}$ = 0.25
X = 54, z =$\frac{X-μ}{σ}$ = $\frac{54-60}{12}$ = $\frac{-6}{12}$ = -0.5
X = 48, z =$\frac{X-μ}{σ}$ = $\frac{48-60}{12}$ = $\frac{-12}{12}$ = -1.0
X = 45, z =$\frac{X-μ}{σ}$ = $\frac{45-60}{12}$ = $\frac{-15}{12}$ = -1.25
B.
z= 0.50, X = 60+ 12z = 60+ (0.50)(12) = 66
z= 1.50, X = 60+ 12z = 60+ (1.50)(12) = 78
z= -2.50, X = 60+ 12z= 60+ (-2.50)(12) = 30
z=-0.25, X = 60+ 12z= 60+ (-0.25)(12) = 57
z=-0.50, X = 60+ 12z = 60+ (-0.50)(12) = 54
z= 1.25, X = 60+ 12z= 60+(1.25)(12) = 75
Work Step by Step
-
