ISS (Statistical Services) Statistics Paper IV: Questions 42 - 45 of 79

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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

For population A

For population B

The standardized death

… (377 more words) …

Question number: 43

» 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.

Given values with observations Control limit for R chart

Sample is given with observations

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

Given values with observations Calculate range, mean and total for R Chart

Sample is given with observations

Sample No.

Observations

Total

Sample Mean

Range

1

5.02

5.01

4.94

4.99

4.96

24.92

4.98

0.08

2

5.01

5.03

5.07

4.95

4.96

25.02

5.00

0.12

3

4.99

5.00

4.93

4.92

4.99

24.83

4.97

0.08

4

5.03

4.91

5.01

4.98

4.89

24.82

4.96

0.14

5

4.95

4.92

5.03

5.05

5.01

24.96

4.99

0.13

6

4.97

5.06

5.06

4.96

5.03

25.08

5.02

0.10

7

5.05

5.01

5.10

4.96

4.99

25.11

5.02

0.14

8

5.09

5.10

5.00

4.99

5.08

25.26

5.05

0.11

9

5.14

5.10

4.99

5.08

5.09

25.40

5.08

0.15

10

5.01

4.98

5.08

5.07

4.99

25.13

5.03

0.10

Total

50.11

1.15

… (99 more words) …

Question number: 44

» Design and Analysis of Experiments » Basic Principle of Experimental Design

Appeared in Year: 2013

Essay Question▾

Describe in Detail

For a PBIB design with parameters, b, r, k, , show that

Explanation

A PBIB design with m associate classes based on the association scheme is an arrangement of treatments into b blocks such that

(i) Each block contains k distinct treatments (k <

(ii) Each treatment occurs in r blocks

(iii) Any two treatments, which are ith associates occur together in blocks (i = 1,2, . . , m) are called the parameters

… (72 more words) …

Question number: 45

» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design

Appeared in Year: 2012

Essay Question▾

Describe in Detail

Discus symmetrical BIBD. For an SBIBD, under usual notations, show that

=

Explanation

Symmetrical BIBD:

A BIBD is said to be symmetric if b= υ and r = k.

υ, r, b, k and λ are called the parameters of the BIBD

υ= number of varities or treatments

b = number of blocks

r = number of replicates for each treatment

k = block size

λ=number of blocks in which any pair of treatments occurs together

Proof: =

Let N be the in

… (97 more words) …

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