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At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 540 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml. A sample of 36 bottles shows a mean fill of 538 ml.  At the .05 significance level, can we conclude that the mean fill of the bottles are different from 540 ml?

  1. Write  the hypothesis statements.
  2. Explain  what test statistic will be used and why.
  3. Compute the  statistic

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