At one university, the students are given z-scores at the end of the each semest

Question

At one university, the students are given z-scores at the end of the each semester, rather than the traditional GP The mean given all students' cumulative GPAs, on and standard deviation of which the z-scores are based, are 2.7 and 0. 5, respectively. (A) Translate each of the following z-scores to corresponding GPA scores: z = 2.0, z = 1.0, z = 0.5, z = -2.5 (B) Students with z-scores below -1.6 are put on probation. What is the corresponding probationary GPA? (C) The president of the university wishes to graduate top 16% of the students which cum laude houners. Where approximately should the limits be set in terms of z-score? In terms of GPAs?

Explanation / Answer

ANSWER :-

since z=(y-u)/

y = z*+u

here u=2.7 ,=0.5

a)

y1 = 2*0.5+2.7=3.7

y2 = -1.0*0.5+2.7=2.2

y3 = 0.5*0.5+2.7=2.95

y4 = -2.5*0.5+2.7=1.45

b)

corresponding probationary GPA = 1.9

c)

z = 1.0 and 2.0

GPA = 3.2 and 3.7

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.