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A farmer weighs a random sample of \(n=5\) apples from his harvest to estimate the quality of the crop. The weights in grams are: \(x = \{120, 125, 118, 122, 130\}\).
  1. Calculate the sample mean \(\bar{x}\).
  2. Calculate the unbiased sample variance \(s_n^2\).
  3. Why do we divide by \(n-1\) instead of \(n\) when calculating the variance \(s_n^2\)?

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