For each of the following, identify the exam score that should lead to the better grade. A score of X = 60 on an exam with µ = 72 and σ = 12, or a score of X = 70 on an exam with µ = 82 and σ = 8? X = 60 corresponds to z =   , and X = 70 corresponds to z =   .   Therefore,both scores produce the same grade   .   A score of X = 85 on an exam with µ = 70 and σ = 10, or a score of X = 58 on an exam with µ = 49 and σ = 6? X = 85 corresponds to z =   , and X = 58 corresponds to z =   .   Therefore,the better grade would be X = 85, µ = 70, σ = 10   .   A score of X = 32 on an exam with µ = 24 and σ = 4, or a score of X = 26 on an exam with µ = 20 and σ = 2? X = 32 corresponds to z =   , and X = 26 corresponds to z =   .   Therefore,the better grade would be X = 26, µ = 20, σ = 2

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1. Gravetter/Wallnau/Forzano, Essentials - Chapter 5 - End of Chapter question 25

For each of the following, identify the exam score that should lead to the better grade.
A score of X = 60 on an exam with µ = 72 and σ = 12, or a score of X = 70 on an exam with µ = 82 and σ = 8?
X = 60 corresponds to z =
 
, and X = 70 corresponds to z =
 
.
 
Therefore,both scores produce the same grade   .
 
A score of X = 85 on an exam with µ = 70 and σ = 10, or a score of X = 58 on an exam with µ = 49 and σ = 6?
X = 85 corresponds to z =
 
, and X = 58 corresponds to z =
 
.
 
Therefore,the better grade would be X = 85, µ = 70, σ = 10   .
 
A score of X = 32 on an exam with µ = 24 and σ = 4, or a score of X = 26 on an exam with µ = 20 and σ = 2?
X = 32 corresponds to z =
 
, and X = 26 corresponds to z =
 
.
 
Therefore,the better grade would be X = 26, µ = 20, σ = 2   .
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