# 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 () 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 80 81 81 81 285 57.0 62 4 36 54 69 77 84 84 320 64.0 48 5 42 51 57 59 78 78 287 57.4 36 6 51 74 75 78 132 132 410 82.0 81 7 60 60 72 95 138 138 425 85.0 78 8 18 20 27 42 60 60 167 33.4 42 9 15 30 39 62 84 84 230 46.0 69 10 69 109 113 118 153 153 562 112.4 84 11 64 90 93 109 112 112 468 93.6 48 12 61 78 94 109 136 136 478 95.6 75 Total 859.2 716

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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 and the proportion of car

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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 6 4.97 5.06 5.06 4.96 5.03 0.10 7 5.05 5.01 5.10 4.96 4.99 0.14 8 5.09 5.10 5.00 4.99 5.08 0.11 9 5.14 5.10 4.99 5.08 5.09 0.15 10 5.01 4.98 5.08 5.07 4.99 0.10 Total 1.15

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