b) Compute the CL, UCL and LCL of the given data using k 3. Construct an X-bar chart. Sample Number Observations 1 32 36 42 28 32 40 3 39 52 28 4 50 42 31 5 42 45 34

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Hi. Please answer only B in this question because I already got the answer to A. Also, can you show me how to get the UCL and LCL without using control constants? Thank you! I've provided the formula that should be used.
4. Given the data below, do the following:
a) Compute the mean and range for each sample.
b) Compute the CL, UCL and LCL of the given data
using k
3. Construct an X-bar chart.
Sample Number
Observations
1
32
36
42
2
28
32
40
3
39
52
28
4
50
42
31
5
42
45
34
Transcribed Image Text:4. Given the data below, do the following: a) Compute the mean and range for each sample. b) Compute the CL, UCL and LCL of the given data using k 3. Construct an X-bar chart. Sample Number Observations 1 32 36 42 2 28 32 40 3 39 52 28 4 50 42 31 5 42 45 34
Formula
UCL = x+ kd
CL = X
83=
dz=
where
LCL = x – k 8z
where k is the distance of the control limits from the center line, expressed in
standard deviation units
when k is set to 3, we speak of 3-sigma control charts
historically k=3 has become an accepted standard in industry
Transcribed Image Text:Formula UCL = x+ kd CL = X 83= dz= where LCL = x – k 8z where k is the distance of the control limits from the center line, expressed in standard deviation units when k is set to 3, we speak of 3-sigma control charts historically k=3 has become an accepted standard in industry
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