A certain liquid product is placed in cans on an automatic filling line. The fill specification are 10 oz ± 0.5 oz. Thirty samples of size 4 have been collected at random over several hour of production. These results are summarized in the following table.

b. What is your estimate of the process mean and standard deviation?
c. What percentage of containers will be outside the specification limits?
d. How much average overfill is required if it is desired that fewer than 1 container in 1,000 will have a fill volume less than 9.5 oz?

Fill Volumes in Ounces Sample XR 2 4 10.14 10.27 10.59 9.91 10.230.68 10.27 10.15 10.07 10.03 10.13 0.24 10.46 9.94 10.19 9.87 10.12 0.59 2 9.80 10.24 10.06 10.33 10,11 0.53 6 0.25 0.15 10.16 9.92 10.18 10.15 10.10 0.25 12 13 14 15 16 10 10.41 | 9.97 | 9.78 | 10.27 10.11 | 0.63 0.13 10.51 10.23 10.52 10.35 0.39 10.25 9.99 10.45 10.24 10.23 0.46 10.07 10.27 10.34 10.00 10.17 0.33 10.21 10.00 10.07 10.12 10. 10 0.21 10.25 10.37 9.60 10.28 10.13 0.77 10.14 10.42 10.30 10.45 10.33 0.31 10.41 10.12 10.11 10.13 10.19 0.31 19 20 10.38 10.20 10.38 9.97 10.23 0.41 21 10.26 10.29 10.12 10.06 10.18 0.23 10.12 10.13 10.62 10.08 10.24 0.55 23 10.25 10.07 9.95 10.02 10.07 0.30 10.5110.58 10.44 9.90 10.36 0.69 24 25 26 9.9810.15 10.12 0 10.26 10.24 9.92 9.90 10.08 0.37 27 10.21 10.43 10.359.93 10.23 0.50 0.21 10.11 10.56 10.48 10.34 0.44 0.38 10.18 10.25 10.23 10.26 0.21 10.32 10.01 10.22 10.35 10.22 0.33 10.26 10.24 9.92 28 29 30