The population of SAT scores forms a normal distribution with a mean of µ=500 and a standard deviation of o =100. If the average SAT score is calculated for a sample of n=25 students,
A. What is the probability that the sample mean will be greater than M=510. In symbols, what is p(M>510)?
B. What is the probability that the sample mean will be greater than M=520. In symbols, what is p(M>520)?
C. What is the probability that the sample mean will be between M=510 and M=520? In symbols, what is p(510