ISS (Statistical Services) Statistics Paper IV: Questions 31 - 33 of 79

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Question number: 31

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

When should R-Chart be Analyzed? Six samples which contain 20 observations per sample have been collected and the sample means and sample ranges are computed as shown below. Test whether the sample means are within control limits of ?

Test mean samples and check if they are in control limits of R Chart

Test mean samples and check if they are in control limits of R Chart

Sample

Mean

Range

1

3.06

0.42

2

3.15

0.5

3

3.11

0.41

4

3.13

0.46

5

3.06

0.46

6

3.09

0.45

Explanation

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Question number: 32

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

a) What is major difference between X bar Chart and R chart?

b) What is OC plot?

c) What is Average outgoing Quality (AOQ)?

d) What is Average Total Inspection (ATI)?

Explanation

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Question number: 33

» Statistical Quality Control » Control Charts » Attributes

Essay Question▾

Describe in Detail

a) In welding of seams, defects included pinholes, cracks, cold laps, etc. A record was made of the number of defects found in one seam each hour and given below. Obtain the 3-σ limits for number of defects.

Finding limits for number of defects

Finding limits for number of defects

1/12/1983

8 A. M.

2

12 A. M.

6

9 A. M.

4

1 P. M.

4

10 A. M.

7

2 P. M.

9

11 A. M.

3

3 P. M.

9

12 A. M.

1

3/12/1983

8 A. M.

6

1 P. M.

4

9 A. M.

4

2 P. M.

8

10 A. M.

3

3 P. M.

9

11 A. M.

9

2/12/1983

8 A. M.

5

12 A. M.

7

9 A. M.

3

1 P. M.

4

10 A. M.

7

2 P. M.

7

11 A. M.

11

3 P. M.

12

b) The number of daily customer complaints are monitored at a telephone exchange. Complaints have been recorded over the past twenty days. Develop three-sigma control limits for the following data.

Number of days and complains per day

Finding control limits for the given data

Days

No. of complaints

Days

No. of complaints

1

2

11

1

2

3

12

3

3

1

13

2

4

3

14

1

5

3

15

1

6

2

16

1

7

3

17

3

8

1

18

2

9

1

19

2

10

3

20

4

Explanation

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