Question: The average grade point average (GPA) of undergraduate students in New York is normally distributed with a population mean of 2.5 and a population standard deviation of .5. Compute the following, showing all work :

1. The percentage of students with GPA's between 1.3 and 1.8 is: (a) less than 5.6%

(b) 5.7% (c) 5.9% (d) 6.2% (e) 6.3% (f) 6.6% (g) 7.3% (h) 7.5%

1. 7.9% (j) more than 8%.

(II) The percentage of students with GPA's above 3.0 is:

(III) Above what GPA will the top 5% of the students be (i.e., compute the 95th percentile):

(IV) If a sample of 25 students is taken, what is the probability that the sample mean GPA will be between 2.50 and 2.75? (a) less than .10 (b) .122 (c) .243 (d) .307 (e) .346

(f) .38 (g) .42 (h) .44 (i) .494 (j) more than .494.

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