How Laude? Many educational institutions award three levels of Latin honors ofte

Question

How Laude? Many educational institutions award three levels of Latin honors often based on GPA. These are coom laude (with high praise), magna coom laude (with great praise), and summa coom laude (with highest praise). Requirements vary from school to school. Suppose the GPAs at State College are normally distributed with a mean of 2.95 and standard deviation of 0.49.

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

Explanation / Answer

Answer:

How Laude? Many educational institutions award three levels of Latin honors often based on GPA. These are coom laude (with high praise), magna coom laude (with great praise), and summa coom laude (with highest praise). Requirements vary from school to school. Suppose the GPAs at State College are normally distributed with a mean of 2.95 and standard deviation of 0.49.

X= mean+z*sd

X = 2.95+2.054*0.49 =3.95646

=3.96 ( rounded)

X = 2.95+ 1.282*0.49 =3.57818

=3.58 ( rounded)

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

z value for top 20%, z= 0.842

X = 2.95+ 0.842*0.49 =3.36258

=3.36 ( rounded)

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