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3. A machine is used to fill containers with orange juice. Fill volume can be assumed...

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Basic Math

3. A machine is used to fill containers withorange juice. Fill volume can be assumed to be normallydistributed. A random sample of ten containers is selected, and thenet contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02,12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.

(a) Construct and run an appropriate test ofhypothesis in order that manufacturer can be sure that the mean netcontents exceed 12 oz. What conclusions can be drawn from the data(use ? = 0.01)?

           (b) Construct a 95% two-sided confidence intervalon the mean fill volume.

           (c) Does the assumption of normality seemappropriate for the fill volume data? Why or why not?

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