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2. Consider we take a random sample of 1000 adults and record their weight. If a new random sample was taken from the same population,

2. Consider we take a random sample of 1000 adults and record their weight. If a new random sample was taken from the same population, explain whether each of the following would change (or not) and why?

  1. The population mean weight,
  2. The sample mean weight, xbar.
  3. Imagine many repeated samples of the same sample size, what is the expected mean of xbar's of these repeated samples?
  4. Imagine many repeated samples of the same sample size, what is the standard deviation (error) of xbar's of these repeated samples if is known.
  5. Imagine many repeated samples of the same sample size, what is the standard deviation (error) of xbar's of these repeated samples, if is unknown and estimated using sample standard deviation, s.

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