Question: Question 1: (20 points) A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A

 Question 1: (20 points) A machine is used to fill containers

Question 1: (20 points) A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random sample of 10 containers is selected, and the mean net content from these samples is 11.98oz. It is known from prior experience that = 0.05 oz in this process. a) Test the hypothesis that the mean liquid equals to 12oz versus the alternative that the mean is smaller 12oz. Use o = 0.05 . (10 points) b) What is the p-value for this hypothesis test? (10 points)

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