Homework Soursethe mean grade point average of the lambda chi fraternity at
the mean grade point average of the lambda chi fraternity at a large university is 2.7 with a standard deviation of 0.27.in a group of 40 fraternity brothers what is the probability that their average grade point is less than 2.6
the mean grade point average of the lambda chi fraternity at a large university is 2.7 with a standard deviation of 0.27.in a group of 40 fraternity brothers what is the probability that their average grade point is less than 2.6
the mean grade point average of the lambda chi fraternity at a large university is 2.7 with a standard deviation of 0.27.in a group of 40 fraternity brothers what is the probability that their average grade point is less than 2.6
Solution
We first get the z score for the critical value. As z = (x - u) sqrt(n) / s, then as
x = critical value = 2.6
u = mean = 2.7
n = sample size = 40
s = standard deviation = 0.27
Thus,
z = (x - u) * sqrt(n) / s = -2.342427896
Thus, using a table/technology, the left tailed area of this is
P(z < -2.342427896 ) = 0.009579368 [answer]
