Population of sat scores forming normal distribution

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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<M<520)?

Reference no: EM1396040

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