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Dogs live for 14 years on average, with a standard deviation of 2 years. A simple...

Dogs live for 14 years on average, with a standard deviation of 2 years. A simple random sample of 78 recently deceased dogs is selected, and the sample mean age at death of these dogs is computed. We know the distribution of the sample mean is approximately normal here because of

  1. the central limit theorem
  2. the fact that dogs normally live approximately significantly longer than average dog
  3. the empirical rule
  4. the law of large numbers
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