(Solution Library) The population of SAT scores forms a normal distribution with a mean of μ = 500 and a standard deviation of σ = 100. If the average SAT
Question: The population of SAT scores forms a normal distribution with a mean of μ = 500 and a standard deviation of σ = 100. If the average SAT score is calculated for a sample of n = 25 students,
- What is the probability that the sample mean will be greater than M = 510. In symbols, what is p(M > 510)?
- What is the probability that the sample mean will be greater than M = 520. In symbols, what is p(M > 520)?
- 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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![[Step-by-Step] A normal-shaped distribution has μ =](/images/solutions/MC-solution-library-64810.jpg "[Step-by-Step] A normal-shaped distribution has μ = 80 and σ = 15.")
[Step-by-Step] A normal-shaped distribution has μ = 80 and σ = 15.
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