# Question: A machine is used to fill containers with a liquid

A machine is used to fill containers with a liquid product. 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) Suppose that the manufacturer wants to be sure that the mean net contents exceeds 12 oz. What conclusions can be drawn from the data (use a = 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?

(a) Suppose that the manufacturer wants to be sure that the mean net contents exceeds 12 oz. What conclusions can be drawn from the data (use a = 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?

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