the population of sat scores forms a normal distribution with a mean of u=500 and a standard deviation of o=100. if the average sat score is calculated for a sample of n=25 students.

Question

the population of sat scores forms a normal distribution with a mean of u=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 between m=510 and m=520? in symbols, what is p(510

PsyDAG · Answer

Z = (score-mean)/SEm

SEm = SD/√n

Treat the new mean as a score.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores.