The annual salary of teachers in a certain state has a mean of

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$ 54,000 and standard deviation of

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$ 5,000 .

Use this information to answer the questions below.

Flag question: Question 4

Question 41 pts

What is the probability that a randomly selected teacher from this state has an annual salary of $55,500 or more.

Group of answer choices

We cannot find the probability with the given information.

(>$55,000)=(>0.3)=0.3821P(X>$55,000)=P(Z>0.3)=0.3821

Flag question: Question 5

Question 51 pts

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

(>1.2)=0.12P(Z>1.2)=0.12

(>2.68)=0.0037P(Z>2.68)=0.0037

(>6)=0P(Z>6)=0

It is impossible to tell because normality conditions are not met

Flag question: Question 6

Question 61 pts

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

(<0.4)=0.6554P(Z<0.4)=0.6554

(<0.4)=0.3446P(Z<0.4)=0.3446

(<3.2)=0.0007P(Z<3.2)=0.0007

It is impossible to tell because normality conditions are not met