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Susana, quality control manager of Halls fine cereal, must ensure that the cereal boxes contain a...

  1. Susana, quality control manager of Halls fine cereal, must ensure that the cereal boxes contain a mean weight of 450 g. Susana suspects that the filling machine is over filling the boxes. A random sample of 40 boxes had a mean weight of 453 g with a standard deviation of 9 g.
    1. What would be the shape of the sampling distribution of means? Why?
    2. At the 1% significance level test the claim that the boxes are being overfilled?
    3. At the 10% level can the same conclusion be drawn?
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