In: Statistics and Probability
Assume that the GPA of MBA students at Boston University is normally distributed with µ = 3.3 and σ = .2. If we sample 16 of the MBA students what is the probability that the average GPA will exceed 3.36?
Solution :
Given that,
mean =
= 3.3
standard deviation =
= 0.2
=
=3.3
=
/
n = 0.2 /
16 = 0.05
P( >3.36 ) = 1 - P(
< 3.36)
= 1 - P[(
-
) /
< (3.36-3.3) /0.05 ]
= 1 - P(z < 1.2)
Using z table
= 1 - 0.8849
= 0.1151
probability= 0.1151