PLEASE SHOW ALL STEPS TO SOLVE- THANKS 8. How Laude? Many educational institutio

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PLEASE SHOW ALL STEPS TO SOLVE- THANKS

8. How Laude? Many educational institutions award three levels of Latin honors often based on GPA. These are cumlaude (with high praise), magnacum laude (with great praise), and summacum laude (with highest praise). Requirements vary from school to school. Suppose the GPA's at State College are normally distributed with a mean of 2.85 and standard deviation of 0.45.

(a) Suppose State College awards the top 2% of students (based on GPA) with the summacum laude honor. What GPA gets you this honor?

Explanation / Answer

a) z score corresponding to top 2% = 2.05

Hence,

GPA required for the honor = 2.85 + 2.05*0.45 = 3.77 [Rounded off to 2 decimal places]

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