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प्रश्न
Write the control limits for the mean chart
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उत्तर
The calculation of control limits for `bar"X"` chart in two different cases are
| Case (i) When `bar"X"` and SD are given |
Case (ii) When `bar"X"` and SD are not given |
|
UCL `\overset{==}{"X"} + sigma/sqrt("n")` CL = `\overset{==}{"X"}` LCL = `\overset{==}{"X"} - 3 sigma/sqrt("n")` |
UCL = `\overset{==}{"X"} + "A"_2 bar"R"` CL = `\overset{==}{"X"}` LCL = `\overset{==}{"X"} - "A"_2bar"R"` |
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संबंधित प्रश्न
Define Statistical Quality Control
What do you mean by process control?
Define a control chart
Define R chart
What are the uses of statistical quality control?
Construct `bar"X"` and R charts for the following data:
| Sample Number | Observations | ||
| 1 | 32 | 36 | 42 |
| 2 | 28 | 32 | 40 |
| 3 | 39 | 52 | 28 |
| 4 | 50 | 42 | 31 |
| 5 | 42 | 45 | 34 |
| 6 | 50 | 29 | 21 |
| 7 | 44 | 52 | 35 |
| 8 | 22 | 35 | 44 |
(Given for n = 3, A2 = 1.023, D3 = 0 and D4 = 2.574)
The following data show the values of sample mean `(bar"X")` and its range (R) for the samples of size five each. Calculate the values for control limits for mean, range chart and determine whether the process is in control.
| Sample Number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Mean | 11.2 | 11.8 | 10.8 | 11.6 | 11.0 | 9.6 | 10.4 | 9.6 | 10.6 | 10.0 |
| Range | 7 | 4 | 8 | 5 | 7 | 4 | 8 | 4 | 7 | 9 |
(conversion factors for n = 5, A2 = 0.58, D3 = 0 and D4 = 2.115)
The following data show the values of sample means and the ranges for ten samples of size 4 each. Construct the control chart for mean and range chart and determine whether the process is in control.
| Sample Number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| `bar"X"` | 29 | 26 | 37 | 34 | 14 | 45 | 39 | 20 | 34 | 23 |
| R | 39 | 10 | 39 | 17 | 12 | 20 | 05 | 21 | 23 | 15 |
Choose the correct alternative:
How many causes of variation will affect the quality of a product?
Choose the correct alternative:
`bar"X"` chart is a
