# Statistical Quality Control (ISS Statistics Paper IV): Questions 6 - 8 of 34

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## Question number: 6

» Statistical Quality Control » Control Charts » Attributes

Essay Question▾

### Describe in Detail

The following are the figures of defectives in 22 lots each containing 2, 000 bulbs. Obtain the 3-σ control limits for the p chart.

 425 430 216 341 225 322 280 306 337 305 356 402 216 264 126 409 193 326 280 389 451 420

### Explanation

we have n = 2000

 S. No. d Equation 1 425 0.2125 2 430 0.215 3 216 0.108 4 341 0.1705 5 225 0.1125 6 322 0.161 7 280 0.14 8 306… (68 more words) …

## Question number: 7

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

### Describe in Detail

A electric Company uses a process to paint cars with a coat of enamel. During each shift, a sample of five cars is selected and the thickness of the paint in mm is determined. On the basis of and R charts, Check whether the production is under control?

 Sample No. Observations 1 2.6 2.3 2.6 2.7 2.7 2 2.6 2.6 2.4 2.8 2.3 3 2.4 2.3 2.4 2.5 2.3 4 2.7 2.4 2.3 2.6 2.8 5 2.6 2.6 2.5 2.8 2.1 6 2.2 2.2 2.7 2.3 2.6 7 2.0 2.6 2.4 2.2 2.3 8 2.5 2.6 2.6 2.7 2.8 9 2.4 2.4 2.2 2.8 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 2.0 2.8 2.3 1.8 2.9

### Explanation

 Sample No. Observations Total Sample Mean (Equation) Sample Range (R) 1 2.6 2.3 2.6 2.7 2.7 12.70 2.54 0.40 2 2.6 2.6 2.4 2.8 2.3 12.70 2.54 0.50 3 2.4 2.3 2.4… (276 more words) …

## Question number: 8

» Statistical Quality Control » Acceptance Sampling by Attributes

Essay Question▾

### Describe in Detail

What is Type –I Error? What is type-II error? What is probability of rejecting a lot which contains acceptable quality level known as?

### Explanation

Type I error— rejecting a lot that is good.

When the null hypothesis is true and we reject it, it is known as type I error.

Producer’s risk is the probability of rejecting a good lot considering it as a bad lot by the consumer. Hence, Producer’s Risk is also… (122 more words) …

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