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A factory produces coffee packets. The weight of a packet has a theoretical mean \(\mu=250\) g and a standard deviation \(\sigma=5\) g. We take a random sample of \(n=25\) packets and calculate their average weight \(\overline{X}_{25}\).
  1. Calculate the expected value of the sample mean (round to 1 decimal place).
    \(E(\overline{X}_{25})=\)
  2. Calculate the standard deviation of the sample mean (round to 1 decimal place).
    \(\sigma(\overline{X}_{25})=\)