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The process that makes the spaghetti noodles for Delectable Delights is supposed to produce noodles with...

The process that makes the spaghetti noodles for Delectable Delights is supposed to produce noodles with an average length of 252 mm.   Allison, the Quality Control Manager, is concerned that Machine #42 is not working properly and the noodles it produces are too short. You are asked to take a random sample of 40 noodles from Machine #42 and perform a hypothesis test to determine if the noodles produced by the machine are, on average, less than 252 mm. Use a significance level of 5%.

  1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)

  1. State and verify the conditions for this hypothesis test for a mean. (5 pts)

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