Chapter 5 - z-Scores: Location of Scores and Standardized Distributions - Problems - Page 147: 24

Original: μ = 76, σ =12 Standardized : μ = 100, σ =20 a.X=61 $\frac{61-76}{12} $ = $\frac{X-100}{20}$ New X = 20(-1.25) +100 = 700 b. X=70 $\frac{70-76}{12} $ = $\frac{X-100}{20}$ New X = 20(-0.5) +100 = 90 c. X=85 $\frac{85-76}{12} $ = $\frac{X-100}{20}$ New X = 20(0.75) +100 = 115 d. X=94 $\frac{94-76}{12} $ = $\frac{X-100}{20}$ New X = 20(1.5) +100 = 130

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