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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Choose the correct alternative: How many causes of variation will affect the quality of a product? - Business Mathematics and Statistics

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Question

Choose the correct alternative:

How many causes of variation will affect the quality of a product?

Options

  • 4

  • 3

  • 2

  • 1

MCQ

Solution

2

shaalaa.com
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 18 | Page 230

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What do you mean by product control?


What do you mean by process control?


Define a control chart


Write the control limits for the mean chart


A machine is set to deliver packets of a given weight. Ten samples of size five each were recorded. Below are given relevant data:

Sample number 1 2 3 4 5 6 7 8 9 10
`bar"X"` 15 17 15 18 17 14 18 15 1 16
R 7 7 4 9 8 7 12 4 11 5

Calculate the control limits for mean chart and the range chart and then comment on the state of control, (conversion factors for n = 5, A2 = 0.58, D3 = 0 and D4 = 2.115)


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)


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

Choose the correct alternative:

`bar"X"` chart is a


Choose the correct alternative:

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

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