The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000.  What is the probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?

1. The mean of the sampling distribution of sample of means is Select an answer $52,000 $54,000 and the standard deviation is Select an answer $625 $5000 .
   
   
2. The z-score for this problem is Select an answer .4 -.4 3.2 -3.2 .
   
   
3. What is the probability of that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?
   • .0007
   • .9993
   • .3446
   • .6554