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.
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