ISS (Statistical Services) Statistics Paper IV: Questions 41 - 42 of 79

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Question number: 41

» 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 Equation chart.

Given are observations find UCL and LCL for R Chart

Given are observations UCL and LCL for R 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

UCL and LCL for R Chart with Sample Range

Calculating the UCL and LCL for R Chart

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

… (135 more words) …

Question number: 42

» Demography and Vital Statistics » Standardized Death Rates

Essay Question▾

Describe in Detail

Compute the crude and standardized death rates of the populations A and B, regarding A as standard population, from the following data:

Table shows the crude and standardized death rates of the populations A and B

showing table of the crude and standardized death rates of the populations A and B

Age groups

(years)

A

B

Population

Deaths

Population

Deaths

Under 10

20000

600

12000

372

10 - 20

12000

240

30000

660

20 - 40

50000

1250

62000

1612

40 - 60

30000

1050

15000

525

Above 60

10000

500

3000

180

Explanation

From the given data, the crude death rate for any population is

Equation

For population A

Equation

Equation

Equation

For population B

Equation

Equation

Equation

The standardized death rate is

Equation

Where pxs=population of standard group of x and Dx =Age specific death rate of group

… (212 more words) …

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