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In: Statistics and Probability

Assume that the GPA of MBA students at Boston University is normally distributed with µ =...

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?

Solutions

Expert Solution

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

orchestra answered 2 years ago
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