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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Choose the correct alternative: Variations due to natural disorder is known as - Business Mathematics and Statistics

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Question

Choose the correct alternative:

Variations due to natural disorder is known as

Options

  • random cause

  •  non-random cause

  • human cause

  • all of them

MCQ

Solution

random cause

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Statistical Quality Control (SQC)
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Chapter 9: Applied Statistics - Exercise 9.4 [Page 230]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 9 Applied Statistics
Exercise 9.4 | Q 19 | Page 230

RELATED QUESTIONS

Define Statistical Quality Control


Write the control limits for the R 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


A quality control inspector has taken ten ” samples of size four packets each from a potato chips company. The contents of the sample are given below, Calculate the control limits for mean and range chart.

Sample Number Observations
1 2 3 4
1 12.5 12.3 12.6 12.7
2 12.8 12.4 12.4 12.8
3 12.1 12.6 12.5 12.4
4 12.2 12.6 12.5 12.3
5 12.4 12.5 12.5 12.5
6 12.3 12.4 12.6 12.6
7 12.6 12.7 12.5 12.8
8 12.4 12.3 12.6 12.5
9 12.6 12.5 12.3 12.6
10 12.1 12.7 12.5 12.8

(Given for n = 5, A2 = 0.58, D3 = 0 and D4 = 2.115)


In a certain bottling industry the quality control inspector recorded the weight of each of the 5 bottles selected at random during each hour of four hours in the morning.

Time Weight in ml
8:00 AM 43 41 42 43 41
9:00 AM 40 39 40 39 44
10:00 AM 42 42 43 38 40
11:00 AM 39 43 40 39 42

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The assignable causes can occur due to


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A typical control charts consists of


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R is calculated using


From the following data, calculate the control limits for the mean and range chart.

Sample No. 1 2 3 4 5 6 7 8 9 10
Sample
Observations
50 21 50 48 46 55 45 50 47 56
55 50 53 53 50 51 48 56 53 53
52 53 48 50 44 56 53 54 549 55
49 50 52 51 48 47 48 53 52 54
54 46 47 53 47 51 51 47 54 52

The following are the sample means and I ranges for 10 samples, each of size 5. Calculate; the control limits for the mean chart and range chart and state whether the process is in control or not.

Sample Number 1 2 3 4 5 6 7 8 9 10
Mean 5.10 4.98 5.02 4.96 4.96 5.04 4.94 4.92 4.92 4.98
Range 0.3 0.4 0.2 0.4 0.1 0.1 0.8 0.5 0.3 0.5

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