[All Steps] The population average for SAT score is 1020, with a population standard deviation of 100. What is the standard deviation of the distribution


Question: The population average for SAT score is 1020, with a population standard deviation of 100.

  1. What is the standard deviation of the distribution of \[\bar{x}\] , if many samples of size 64 is selected.
  2. What is the probability that a random sample of 64 students will provide a sample mean SAT score within 10 points of the population mean?

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