SOLUTION: The average GPA at four year colleges and universities is 3.11 (sd=.30) a. after more research, i found that the average GPA for graduate school is 3.5. If you are interested in a

Question 1109233: The average GPA at four year colleges and universities is 3.11 (sd=.30)
a. after more research, i found that the average GPA for graduate school is 3.5. If you are interested in a masters program, you have to earn GPA in the top ____% undergraduates
b. A student claims that he has a higher GPA than 95% of students at university123 for this claim to be true, what would his GPA have to be?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Assuming we know the population sd, use z - test, where z=(x-mean)/sd
z> (3.5-3.11)/0.3 or > 0.39/0.3 or > +1.3
That probability is 0.0968 so the top 9.68% or 9.7%
The 95% percentile is z=1.645
1.645=(x-3.11)/.3
0.4935=x-3.11
x=3.60 GPA.
RELATED QUESTIONS
_____The correlation coefficient between high school grade point average (gpa) and... (answered by jim_thompson5910,MathLover1)

_________The correlation coefficient between high school grade point average (gpa) and... (answered by MathLover1)

The average GPA scored by a class is 4.91 and standard deviation is 0.72. For a sample of (answered by amarjeeth123)

A class has 12 boys and 21 girls. The class as a whole has a GPA (grade point average)... (answered by Math_prodigy)

A class has 12 boys and 21 girls. The class as a whole has a GPA (grade point average)... (answered by fractalier)

Babsie is a public affairs specialist at Park University. A press release issued by... (answered by stanbon)

John needs to know his GPA for his first and only 12 credits. His courses and grades... (answered by Fombitz)

Will Someone Help Me With This Problem? In a survey of four-year colleges and... (answered by stanbon,Edwin McCravy)

draw a Venn diagram to obtain the answers Colleges and Universities In a survey of... (answered by ewatrrr)