4.12. 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, 12.06, 11.98, 11.97, 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 0 = 0.01)? (b) Construct a 99% two-sided confidence interval on the mean fill volume.

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4.12. 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, 12.06, 11.98, 11.97,
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 99% two-sided confidence interval
on the mean fill volume.
Transcribed Image Text:4.12. 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, 12.06, 11.98, 11.97, 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 99% two-sided confidence interval on the mean fill volume.
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