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 64 teachers from this state is less than $52,000?

Group of answer choices

LaTeX: P\left(Z<-0.4 ight)=0.6554 P ( Z < 0.4 ) = 0.6554 P ( Z < 0.4 ) = 0.6554 P ( Z < 0.4 ) = 0.6554

LaTeX: P\left(Z<-0.4 ight)=0.3446 P ( Z < 0.4 ) = 0.3446 P ( Z < 0.4 ) = 0.3446 P ( Z < 0.4 ) = 0.3446

LaTeX: P\left(Z<-3.2 ight)=0.0007 P ( Z < 3.2 ) = 0.0007 P ( Z < 3.2 ) = 0.0007 P ( Z < 3.2 ) = 0.0007

It is impossible to tell because normality conditions are not met