Do Not Use Minitab for this problenm 6.6. The net weight (in oz) of a dry bleach

Question

Do Not Use Minitab for this problenm 6.6. The net weight (in oz) of a dry bleach product is to be monitored by x and R control charts using a sam- ple size of n 5, Data for 20 preliminary samples are shown in Table 6E.6 (a) Set up x and R control charts using these data. Does the process exhibit statistical control? (b) Estimate the process mean and standard deviation (c) Does fill weight seem to follow a normal distrib- ution? TABLE 6E.6 Data for Exercise 6.6 Sample Number rix2 4 1 15.8 16.3 16.2 16. 16.6 2 16.3 15.9 15.9 16.2 16.4 3 16.1 16.2 16.5 6. 16.3 4 16.3 16.2 15.9 16.4 16.2 5 16. 6.1 6.4 16.5 16.0 6 16.1 15.8 16.7 16.6 16.4 7 16.1 16.3 16.5 16. 16.5 8 16.2 16.1 16.2 6 16.3 9 16.3 16.2 16.4 16.3 16.5 10 16.6 16.3 16.4 16. 16.5 16.2 16.4 15.9 16.3 16.4 12 5.9 16.6 16.7 16.2 16.5 13 16.4 16.1 16.6 16.4 6.1 14 16.5 16.3 16.2 16.3 16.4 15 16.4 16. 16.3 16.2 16.2 16 16.0 16.2 16.3 16.3 16.2 17 16.4 16.2 16.4 16.3 16.2 18 16.0 16.2 16.4 16.5 16.1 19 16.4 16.0 16.3 16.4 16.4 20 16.4 16.4 16.5 16.0 15.8

Explanation / Answer

a]

R- chart Control limits

Using subgroup size n = 5

X-bar control limits

Using subgroup size n = 5

Both R-chart and X-bar charts are within control

b]

process mean = 16.268

and process standard deviation = R-bar/ d2 = 0.475/2.059 = 0.2370

CL UCL LCL 0.475 1.08395 0

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