The GPA (grade point average) of SEMO students is 2.75 with a population standard deviation of σ = 0.75. What is the probability that a randomly selected student will have a GPA greater than 3.75? Use the standard normal (z) distribution.
On a recent test, Professor Hard-nose gave 3 A's, 5 B's, 18 C's, 5 D's, and 4 F's.
a. What is the value of N?
b. If we assign points to the letter grades according to A = 4 points, B = 3 points, C = 2 points, D = 1 point, and F = 0 points, what is the mean grade (in points)? mean = ___________
c. What is the range? Range = ___________
d. Given your answer in part a., calculate the sample variance and sample standard deviation. Note: with a sample, the number of degrees of freedom is N-1. sample variance = ___________ sample standard deviation = ___________