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

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 7E: List the sample space of each experiment. Selecting a letter of the alphabet
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Good day! Can you show me how to answer this? And the thing is, can you show me how to get the UCL and LCL without using control limits and the range? I've provided the formula that should be used. Thank you!
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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