Answer Happy

The net weight of a soft drink is to be monitored by X ̅ and Rcontrol charts using a sample size of n=5. Data for 20 preliminarysamples are shown in Table below. Sample Number
Sample Number
x1
x2
x3
x4
x5
1
15.8
16.3
16.2
16.1
16.6
2
16.3
15.9
15.9
16.2
16.4
3
16.1
16.2
16.5
16.4
16.3
4
16.3
16.2
15.9
16.4
16.2
5
16.1
16.1
16.4
16.5
16.0
6
16.1
15.8
16.7
16.6
16.4
7
16.1
16.3
16.5
16.1
16.5
8
16.2
16.1
16.2
16.1
16.3
9
16.3
16.2
16.4
16.3
16.5
10
16.6
16.3
16.4
16.1
16.5
11
16.2
16.4
15.9
16.3
16.4
12
15.9
16.6
16.7
16.2
16.5
13
16.4
16.1
16.6
16.4
16.1
14
16.5
16.3
16.2
16.3
16.4
15
16.4
16.1
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
Set up X ̅ and R control charts using these data. Does theprocess exhibit statistical control?
Estimate the process mean and standard deviation.
Does fill weight seem to follow a normal distribution?
Rework Exercise 3 above using an X ̅-S chart. Set up X ̅ and Scontrol charts. Is the process in statistical control?
Estimate the process mean and standard deviation. (σ ̂=s ̅⁄c_4)
What are the limits that you would expect to contain nearly allthe process measurements?