The population of SAT scores forms a normal distribution with a mean of µ = 500 and a standard devia


Question: The population of SAT scores forms a normal distribution with a mean of µ = 500 and a standard deviation of ? = 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 < M < 520)?

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