# Statistical Quality Control-Control Charts (ISS (Statistical Services) Statistics Paper IV): Questions 28 - 30 of 31

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## Question number: 28

» Statistical Quality Control » Control Charts » Attributes

Essay Question▾

### Describe in Detail

What is C-chart? What are control limits for C Chart based on? What is a p Chart?

### Explanation

C-Chart: Unlike d or np charts, which applies to the number of defectives in a sample, c-chart applies to the number of defects per unit. For example, in case of surface defects, area of the surface is the sample size; in case of casting defects a single part such as base plate, side cover etc.

In C- Chart Control limits are based on:

• In C cha

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## Question number: 29

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

### Describe in Detail

A electric Company uses a process to paint refrigerators with a coat of enamel. During each shift, a sample of five refrigerators is selected and the thickness of the paint in mm is determined. Find upper control limit (UCL) the lower control limit (LCL) for chart.

 Sample No. Observations 1 2.7 2.3 2.6 2.4 2.7 2 2.6 2.4 2.6 2.3 2.8 3 2.3 2.3 2.4 2.5 2.4 4 2.8 2.3 2.4 2.6 2.7 5 2.6 2.5 2.6 2.1 2.8 6 2.2 2.3 2.7 2.2 2.6 7 2.2 2.6 2.4 2.0 2.3 8 2.8 2.6 2.6 2.7 2.5 9 2.4 2.8 2.4 2.2 2.3 10 2.6 2.3 2.0 2.5 2.4 11 3.1 3.0 3.5 2.8 3.0 12 2.4 2.8 2.2 2.9 2.5 13 2.1 3.2 2.5 2.6 2.8 14 2.2 2.8 2.1 2.2 2.4 15 2.4 3.0 2.5 2.5 2.0 16 3.1 2.6 2.6 2.8 2.1 17 2.9 2.4 2.9 1.3 1.8 18 1.9 1.6 2.6 3.3 3.3 19 2.3 2.6 2.7 2.8 3.2 20 1.8 2.8 2.3 2.0 2.9

### Explanation

 Sample No. Observations Total Sample Mean () Sample Range (R) 1 2.7 2.3 2.6 2.4 2.7 12.70 2.54 0.40 2 2.6 2.4 2.6 2.3 2.8 12.70 2.54 0.50 3 2.3 2.3 2.4 2.5 2.4 11.90 2.38 0.20 4 2.8 2.3 2.4 2.6 2.7 12.80 2.56 0.50 5 2.6 2.5 2.6 2.1 2.8 12.60 2.52 0.70 6 2.2 2.3 2.7 2.2 2.6 12.00 2.40 0.50 7 2.2 2.6 2.4 2.0 2.3 11.50 2.30 0.60 8 2.8 2.6 2.6 2.7 2.5 13.20 2.64 0.30 9 2.4 2.8 2.4 2.2 2.3 12.10 2.42 0.60 10 2.6 2.3 2.0 2.5 2.4 11.80 2.36 0.60 11 3.1 3.0 3.5 2.8 3.0 15.40 3.08 0.70 12 2.4 2.8 2.2 2.9 2.5 12.80 2.56 0.70 13 2.1 3.2 2.5 2.6 2.8 13.20 2.64 1.10 14 2.2 2.8 2.1 2.2 2.4 11.70 2.34 0.70 15 2.4 3.0 2.5 2.5 2.0 12.40 2.48 1.00 16 3.1 2.6 2.6 2.8 2.1 13.20 2.64 1.00 17 2.9 2.4 2.9 1.3 1.8 11.30 2.26 1.60 18 1.9 1.6 2.6 3.3 3.3 12.70 2.54 1.70 19 2.3 2.6 2.7 2.8 3.2 13.60 2.72 0.90 20 1.8 2.8 2.3 2.0 2.9 11.80 2.36 1.10 Total 50.28 15.40

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## Question number: 30

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

### Describe in Detail

A electric Company uses a process to paint refrigerators with a coat of enamel. During each shift, a sample of five refrigerators is selected and the thickness of the paint in mm is determined. Find upper control limit (UCL) the lower control limit (LCL) for chart.

 Sample No. Observations 1 2.7 2.3 2.6 2.4 2.7 2 2.6 2.4 2.6 2.3 2.8 3 2.3 2.3 2.4 2.5 2.4 4 2.8 2.3 2.4 2.6 2.7 5 2.6 2.5 2.6 2.1 2.8 6 2.2 2.3 2.7 2.2 2.6 7 2.2 2.6 2.4 2.0 2.3 8 2.8 2.6 2.6 2.7 2.5 9 2.4 2.8 2.4 2.2 2.3 10 2.6 2.3 2.0 2.5 2.4 11 3.1 3.0 3.5 2.8 3.0 12 2.4 2.8 2.2 2.9 2.5 13 2.1 3.2 2.5 2.6 2.8 14 2.2 2.8 2.1 2.2 2.4 15 2.4 3.0 2.5 2.5 2.0 16 3.1 2.6 2.6 2.8 2.1 17 2.9 2.4 2.9 1.3 1.8 18 1.9 1.6 2.6 3.3 3.3 19 2.3 2.6 2.7 2.8 3.2 20 1.8 2.8 2.3 2.0 2.9

### Explanation

 Sample No. Observations Sample Range 1 2.7 2.3 2.6 2.4 2.7 0.40 2 2.6 2.4 2.6 2.3 2.8 0.50 3 2.3 2.3 2.4 2.5 2.4 0.20 4 2.8 2.3 2.4 2.6 2.7 0.50 5 2.6 2.5 2.6 2.1 2.8 0.70 6 2.2 2.3 2.7 2.2 2.6 0.50 7 2.2 2.6 2.4 2.0 2.3 0.60 8 2.8 2.6 2.6 2.7 2.5 0.30 9 2.4 2.8 2.4 2.2 2.3 0.60 10 2.6 2.3 2.0 2.5 2.4 0.60 11 3.1 3.0 3.5 2.8 3.0 0.70 12 2.4 2.8 2.2 2.9 2.5 0.70 13 2.1 3.2 2.5 2.6 2.8 1.10 14 2.2 2.8 2.1 2.2 2.4 0.70 15 2.4 3.0 2.5 2.5 2.0 1.00 16 3.1 2.6 2.6 2.8 2.1 1.00 17 2.9 2.4 2.9 1.3 1.8 1.60 18 1.9 1.6 2.6 3.3 3.3 1.70 19 2.3 2.6 2.7 2.8 3.2 0.90 20 1.8 2.8 2.3 2.0 2.9 1.10 15.40

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