Given:
μ= 150

σ=20

The final exam scoreis the mean increased by the product of the z-score and the standard deviation, since the z-score measures the number of standard devintions that the value is from the mean:

Robert: x = μ + zσ = 150 + 1.10(20) = 172

Joel: x = μ + zσ = 150 + 0.00(20) = 150

Juan: x = μ + zσ = 150 + 1.70(20) = 184

Jan: x = μ + zσ = 150 — 0.80(20) = 134

Susan: x = μ + zσ = 150 — 2.00(20) = 110

Linda: x = μ + zσ = 150 + 1.60(20) = 182

σ=20

The final exam scoreis the mean increased by the product of the z-score and the standard deviation, since the z-score measures the number of standard devintions that the value is from the mean:

Robert: x = μ + zσ = 150 + 1.10(20) = 172

Joel: x = μ + zσ = 150 + 0.00(20) = 150

Juan: x = μ + zσ = 150 + 1.70(20) = 184

Jan: x = μ + zσ = 150 — 0.80(20) = 134

Susan: x = μ + zσ = 150 — 2.00(20) = 110

Linda: x = μ + zσ = 150 + 1.60(20) = 182