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1. The net weight of a soft drink is to be monitored by X‾ and R control charts using a sample size n = 5. Data for 20 preliminary samples are shown in Table below.
Sample Number
X1
x2
x3
X4
x5
15.8
16.3
16.2
16.1
16.6
2
15.9
16.4
3
16.5
4
5
16.0
6
16.7
7
8
9
10
11
12
13
14
15
16
17
18
19
20
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 distribution?
2. Rework Exercise 4 using an X‾-S chart.
a. Set up X‾ and S control charts. Is the process in statistical control?
b. Estimate the process mean and standard deviation. (σ^ = s‾/c4)
c. What are the limits that you would expect to contain nearly all the process measurements?
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