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

3. A machine is used to fill containers with orange juice. Fill volume can be assumed to be normally distributed. A random sample of ten containers is selected, and the net 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 of hypothesis in order that manufacturer can be sure that the mean net contents exceed 12 oz. What conclusions can be drawn from the data (use α = 0.01)?

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

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

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Expert Solution

milcah answered 3 weeks ago

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