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Define a control chart - Business Mathematics and Statistics

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प्रश्न

Define a control chart

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उत्तर

A control chart is essentially a graphic device for presenting data so as to directly reveal the frequency and extent of variations from established standards or goals.

Control charts are simple to construct and easy to interpret and they tell the manager at a glance whether or not the process is in control, i.e within the tolerance limits.

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पाठ 9: Applied Statistics - Exercise 9.3 [पृष्ठ २२६]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 9 Applied Statistics
Exercise 9.3 | Q 7 | पृष्ठ २२६

संबंधित प्रश्‍न

Define chance cause


Define the mean chart


Write the control limits for the mean chart


Ten samples each of size five are drawn at regular intervals from a manufacturing process. The sample means `(bar"X")` and their ranges (R) are given below:

Sample number 1 2 3 4 5 6 7 8 9 10
`bar"X"` 49 45 48 53 39 47 46 39 51 45
R 7 5 7 9 5 8 8 6 7 6

Calculate the control limits in respect of `bar"X"` chart. (Given A2 = 0.58, D3 = 0 and D4 = 2.115) Comment on the state of control


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)


Choose the correct alternative:

Variations due to natural disorder is known as


Choose the correct alternative:

The assignable causes can occur due to


Choose the correct alternative:

`bar"X"` chart is a


Choose the correct alternative:

R is calculated using


The following data gives the average life(in hours) and range of 12 samples of 5lamps each. The data are

Sample No 1 2 3 4 5 6
Sample Mean 1080 1390 1460 1380 1230 1370
Sample Range 410 670 180 320 690 450
Sample No 7 8 9 10 11 12
Sample Mean 1310 1630 1580 1510 1270 1200
Sample Range 380 350 270 660 440 310

Construct control charts for mean and range. Comment on the control limits.


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