Question: 1) A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random sample of

1) A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random sample of 10 containers is selected, and the net contents (oz) are as follows: 8.04, 7.95, 8.01, 8.02, 7.98, 8.02, 7.97, 7.99, 8.03, and 7.97.

(a) Test the hypothesis that the mean net content is exactly 8 oz versus the alternative that the mean net content is not 8 oz. What conclusions can be drawn from the data? (use = 0.05)

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

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