Question: A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random sample of twelve

A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random sample of twelve containers is selected, and the net contents (oz) are as follows:

13.03
13.01
13.04
13.03
13.05
12.98
12.96
13.03
13.05
13.03
13
13.03
12.98
12.99

(a) Suppose that the manufacturer wants to be sure that the mean net contents exceeds 13 oz. Test the hypothesis. (use = 0.05).

(b) Construct a 90% two-sided confidence interval.

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