# Statistics - Hypothesis Testing

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The production line that packages boxes of raisins at a snack food manufacturer will be considered operating properly if the average weight of the boxes of raisin is 3.5 ounces with a standard deviation of 0.3 ounces. A random sample of 20 boxes showed an average weight of 3.30 ounces.

a. State the value of the correct rejection region for alpha = 0.05.

b. State the value of the correct rejection region for alpha = 0.01.

c. What should be the correct decision and conclusion when testing to determine if the production line is operating properly by allowing a 10% probability of committing a Type 1 error?

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