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You are attempting to determine the average grade (out of 100%) of students at MIT. You...

You are attempting to determine the average grade (out of 100%) of students at MIT. You have taken 100 independent random samples of size 50 from that population and calculated the sample mean (x̄ ) and a sample variance (s^2 ) of each sample.

  1. What distribution would you expect the 100 sample means ( x̄) you have calculated to follow? Why?
  2. What distribution would you expect the 100 sample variances (s^2 ) to follow?
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