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

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Question number: 42

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:

 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

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Question number: 43

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

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Following data gives the diameter of the rings manufactured by a company. Obtain the Control limits for R-chart.

 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

 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

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Question number: 44

Appeared in Year: 2013

Essay Question▾

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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

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Question number: 45

Appeared in Year: 2012

Essay Question▾

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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

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