The annual salary of teachers in a certain state has a mean ofLaTeX: \mu= =$ 54,000 and standard deviation of LaTeX: \sigma= = $ 5,000 .

Use this information to answer the questions below.

What is the probability that the mean annual salary of a random sample of 5 teachers from this state is more than $60,000?

Group of answer choices

LaTeX: P\left(Z>1.2 ight)=0.12 P ( Z > 1.2 ) = 0.12 P ( Z > 1.2 ) = 0.12 P ( Z > 1.2 ) = 0.12

LaTeX: P\left(Z>2.68 ight)=0.0037 P ( Z > 2.68 ) = 0.0037 P ( Z > 2.68 ) = 0.0037 P ( Z > 2.68 ) = 0.0037

LaTeX: P\left(Z>6 ight)=0 P ( Z > 6 ) = 0 P ( Z > 6 ) = 0 P ( Z > 6 ) = 0

It is impossible to tell because normality conditions are not met