The net weight (in oz) of a dry bleach product is to be monitored by x and R control charts using a sample size of n = 5. Data for 20 preliminary samples are shown in Table 6E.7.

(b) Estimate the process mean and standard deviation.
(c) Does the fill weight seem to follow a normal distribution?
(d) If the specifications are at 16.2  0.5, what conclusions would you draw about process capability?
(e) What fraction of containers produced by this process is likely to be below the lower specification limit o 15.7 oz?

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TABLE 6E.7 Data for Exercise 6.12 Sample Number 1 15.8 63 16.2 16. 16.6 2 16.3 159 15.9 6.2 164 36 16.2 16.5 16.4 16.3 4 16.3 162 159 164 16.2 5 16.1 16 164 16.5 16.0 6 161 5.8 16.7 16.6 164 7 161 636.5 16 16.5 8 16.2 16. 6.2 16. 16.3 9 16.3 16.2 164 6.3 6.5 10 166 63 46. 1 16.2 164 15.9 16.3 16.4 12 159 166 16.7 16.2 165 13 164 16 16.6 6.4 161 14 16.5 16.3 16.2 163 164 15 16.4 16.1 16.3 16.2 16.2 16 16.0 62 63 16.3 16.2 17 164 162 164 16.3 16.2 18 16.0 162 64 16.5 16.1I 19 16.4 16.0 16.3 164 16.4 20 164 164 165 16.0 15.8 (a) Set up x and R control charts using these data. Does the process exhibit statistical control?