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STAT200 FINAL EXAM A Assume the SAT Mathematics Level 2 test scores are normally distributed with a mean of 500 and a standard deviation of

STAT200 FINAL EXAM A

Assume the SAT Mathematics Level 2 test scores are normally distributed with a mean of 500 and a standard deviation of 100. Show all work. Just the answer, without supporting work, will receive no credit.

  1. (a) If a random sample of 64 test scores is selected, what is the standard deviation of the sample mean?
  2. (b) What is the probability that 64 randomly selected test scores will have a mean test score that is between 475 and 525?

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