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1. Attempt any FIVE parts: 5 i) Name the Basic Principles of EXPERIMENTAL DESIGN. ii) What is S.E of ESTIMATE? iii) Define RATES and RATIOS. iv) What is AGE SPECIFIC BIRTH RATE? v) What is EXPERIMENTAL ERROR?
vi) Define CHI SQUARE DISTRIBUTION. vii) What is WILCOXON SIGNED RANK TEST?
2. a) Discuss the Procedure of Analysis of VARIANCE in CR Design. 3
b) The following statistic are obtained from the data for the number of packages of 5 popular brands of Cigarettes A, B, C, D, E sold by a super market on 8 randomly selected days. 5
Brand | A | B | C | D | E | |
Sample Mean -Xj | 30 | 26 | 42 | 37 | 33 | |
Sample Biased Variance S 2 j | 93.5 | 77.75 | 76.5 | 75.5 | 50 |
Perform Analysis of variance and determine whether or not the 5 brands sell, on the average, the same number of Cigarettes at this super market.
V1 | 2.3 | V2 | 3.0 | V3 | 3.3 | V4 | 2.5 |
V2 | 3.1 | V3 | 4.1 | V4 | 2.4 | V1 | 2.4 |
V3 | 4.3 | V4 | 2.5 | V1 | 2.1 | V2 | 2.9 |
V4 | 2.6 | V1 | 2.0 | V2 | 2.4 | V3 | 4.4 |
Source | d.f | S. S | M. S |
Blocks | 5 | 700 | ---- |
Treatments | ---- | ---- | ---- |
Error | ---- | ---- | 12.2 |
Total | 23 | 1200 | ---- |
correlation co-efficient of value 0.47 shall have a calculated value of t greater than 2.12. 3 (Continued Overleaf)
6. a) The following data represents the number of hours that a rechargeable hedge trimmer operates before a recharge is required. 1.5, 2.2, 0.9, 1.3, 2.0, 1.6, 1.8, 1.5, 2.0, 1.2 and 1.7. Use sign test to test the hypothesis at 5% level of significance that this particular trimmer operates, on the average, 1.8 hours before requiring a charge. 4
b) Given below are the scores given by two groups of trainees. 4
Group I | 31 | 28 | 42 | 36 | 29 | 51 | 34 | 25 | 44 | 33 | 49 |
---|---|---|---|---|---|---|---|---|---|---|---|
Group II | 27 | 45 | 30 | 53 | 41 | 39 | 48 | 43 | 26 | 37 |
Use a Mann-Whitney Test to test if the scores for the two groups differ significantly.
7. a) Five pennies were tossed 1000 times and number of heads were observed as given below. Fit a
binomial distribution and determine the goodness of fit test. Use á = 0.05. 4
b) The proportion of individuals Possessing the four blood types should be in the proportion
q^{2 }: P^{2 }+ 2Pq : r^{2 }+ 2qr : 2Pr, where P + q + r = 1. Given the observed frequencies 180, 360, 132,
98, test the compatibility with P = 0.4, q = 0.4 and r = 0.2. Use á = .05 4
8. a) Compute Gross and Net Reproduction Rates for the following data. 4
Age Group (Year) | Female PoP (000) | Female Births | Probability of Survival |
---|---|---|---|
15 – 19 | 1558 | 18,900 | 0.914 |
20 – 24 | 1112 | 71,100 | 0.899 |
25 – 29 | 1595 | 96,900 | 0.884 |
30 – 34 | 1629 | 64,200 | 0.868 |
35 – 39 | 1627 | 34,900 | 0.852 |
40 – 44 | 1522 | 10,800 | 0.834 |
45 – 49 | 1401 | 800 | 0.813 |
b) Calculate the Crude and Standardised death rates of the local population from the following data using direct method.
Age Group (Years) | Standard Population | No. of deaths in Standard Population | Local Population | No. of deaths in Local Population |
---|---|---|---|---|
0 – 10 | 600 | 18 | 400 | 16 |
10 – 20 | 1000 | 5 | 1500 | 6 |
20 – 60 | 3000 | 24 | 2400 | 24 |
60 and Over | 400 | 20 | 700 | 21 |
***B.A/B.Sc-II (10/A) – xliii ***
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last updated on 28-04-2019 |