Question: The net weight of a soft drink is to be monitored by and R control charts using a sample size of n = 5. Data

The net weight of a soft drink is to be monitored by Sample Number x, 15.8 16.3 16.2 16.1 16.6 16.3 15.9 15.9 16.2 and R control charts using a sample size of n = 5. Data for 20 preliminary samples are shown in Table 5E.2. 

16.4 16.1 16.2 16.5 16.4 16.3 16.3 16.2 15.9 16.4 16.2 16.1

a. Set up 16.1 16.4 16.5 16.0 16.1 15.8 16.7 16.6 16.4 16.1 16.3 16.5 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 distribution?

Sample Number x, 15.8 16.3 16.2 16.1 16.6 16.3 15.9 15.9 16.2 16.4 16.1 16.2 16.5 16.4 16.3 16.3 16.2 15.9 16.4 16.2 16.1 16.1 16.4 16.5 16.0 16.1 15.8 16.7 16.6 16.4 16.1 16.3 16.5 16.1 16.5 16.2 16.1 16.2 16.1 16.3 16.3 16.2 16.4 16.3 16.5 16.6 16.3 16.4 16.1 16.5 16.2 16.4 15.9 16.3 16.4 15.9 16.6 16.7 16.2 16.5 16.4 16.1 16.6 16.4 16.1 16.5 16.3 16.2 16.3 16.4 16.4 16.1 16.3 16.2 16.2 16.0 16.2 16.3 16.3 16.2 16.4 16.2 16.4 16.3 16.2 16.0 16.2 16.4 16.5 16.1 16.4 16.0 16.3 16.4 16.4 16.4 16.4 16.5 16.0 15.8 10 12 13 14 15 16 17 18 19 20

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