Statistics Solutions

(Solution Library) 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

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.

  1. What is the probability that the sample mean will be greater than M=510? In symbol, what is p(M>510)?
  2. What is the probability that the sample mean will be greater than M=520? In symbols, what is p(M>520?
  3. What is the probability that the sample mean will be between M=510 and M=520? In symbols, what is p(510

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