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[All Steps] The distribution of SAT scores is normal with a mean of µ = 500 and a standard deviation σ = 100. If the mean SAT score is computed for the sample

Question: The distribution of SAT scores is normal with a mean of µ = 500 and a standard deviation σ = 100. If the mean SAT score is computed for the sample of n = 100 students.

  1. What range of values should contain the sample mean 90% of the time( That is , find the middle 90%of the distribution sample means)
  2. What range of values should contain the sample mean 95% of the time?
  3. What range of values should contain the sample mean 99% of the time?

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