Question: How Laude? Many educational institutions award three levels of Latin h

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Question: How Laude? Many educational institutions award three levels of Latin honors often based on GPA. T... How Laude? Many educational institutions award three levels of Latin honors often based on GPA. These are c-laude (with high praise), magna-c-laude (with great praise), and summa-c-laude (with highest praise). Requirements vary from school to school. Suppose the GPAs at State College are normally distributed with a mean of 2.9 and standard deviation of 0.49.

(a) Suppose State College awards the top 2% of students (based on GPA) with the summa-c-laude honor. What GPA gets you this honor? Round your answer to 2 decimal places. ______GPA or higher

(b) Suppose State College awards the top 10% of students (based on GPA) with the magna-c-laude honor. What GPA gets you this honor? Round your answer to 2 decimal places. ______ GPA or higher

(c) Suppose State College awards the top 20% of students (based on GPA) with the c-laude honor. What GPA gets you this honor? Round your answer to 2 decimal places. _______GPA or higher

Explanation / Answer

a) z score corresponding to top 2% = 2.05

So,

GPA = 2.9 + 2.05(0.49) = 3.90

b) z score corresponding to top 10% = 1.28

So,

GPA = 2.9 + 1.28(0.49) = 3.53

c) z score corresponding to top 20% = 0.84

So,

GPA = 2.9 + 0.84(0.49) = 3.31

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