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


Question: The population of SAT scores forms a normal distribution with a mean of \(\mu =500\) and a standard deviation of \(\sigma =100\). 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 510?

(b) What is the probability that the sample mean will be greater than 520?

(c) What is the probability that the sample mean will be between 510 and 520?

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