# Statistical Quality Control-Control Charts (ISS (Statistical Services) Statistics Paper IV): Questions 9 - 11 of 31

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## Question number: 9

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

### Describe in Detail

Construct a control chart for mean for the following data based on fuses, samples of 5 being taken every hour. Check whether the production is under control?

 Sample No. Observations 1 42 65 75 78 87 87 2 42 45 68 72 90 90 3 19 24 80 81 81 81 4 36 54 69 77 84 84 5 42 51 57 59 78 78 6 51 74 75 78 132 132 7 60 60 72 95 138 138 8 18 20 27 42 60 60 9 15 30 39 62 84 84 10 69 109 113 118 153 153 11 64 90 93 109 112 112 12 61 78 94 109 136 136 Total 859.2 716

### Explanation

 Sample No. Observations Total Sample Mean (Equation ) Sample Range 1 42 65 75 78 87 87 347 69.4 45 2 42 45 68 72 90 90 317 63.4 48 3 19 24
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## Question number: 10

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

### Describe in Detail

a) What are control charts for Attributes?

b) A quality control inspector at the Pepsi soft drink company has taken twenty-five samples with four observations each of the volume of bottles filled. If the average range for the twenty-five samples is. 29 ounces and the average meanof the observations is 15.95 ounces, obtain 3- σ control limits for ?

### Explanation

a) To measure the quality characteristics, Control charts for attributes are used, that are counted rather than measured. P-charts and C-charts are common types of control charts used to measure the attributes.

P-charts measure the proportion of items in a sample that are defective. For example, proportion of broken eggs

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## Question number: 11

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

### Describe in Detail

Following data gives the diameter of the rings manufactured by a company. Obtain the control limits for R Chart?

 Sample No. Observations 1 5.02 5.01 4.94 4.99 4.96 2 5.01 5.03 5.07 4.95 4.96 3 4.99 5.00 4.93 4.92 4.99 4 5.03 4.91 5.01 4.98 4.89 5 4.95 4.92 5.03 5.05 5.01 6 4.97 5.06 5.06 4.96 5.03 7 5.05 5.01 5.10 4.96 4.99 8 5.09 5.10 5.00 4.99 5.08 9 5.14 5.10 4.99 5.08 5.09 10 5.01 4.98 5.08 5.07 4.99

### Explanation

 Sample No. Observations Range 1 5.02 5.01 4.94 4.99 4.96 0.08 2 5.01 5.03 5.07 4.95 4.96 0.12 3 4.99 5.00 4.93 4.92 4.99 0.08 4 5.03 4.91 5.01 4.98 4.89 0.14 5 4.95 4.92 5.03 5.05 5.01 0.13
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