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Old Exam Papers Dec. 2010 - Video

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9. (a) From the following data, estimate the yield when<br />

rainfall is 9 inches :<br />

Mean S.D.<br />

Yield of wheat<br />

(kg per unit area) 10 8<br />

Annual rainfall (inches) 8 2<br />

Coefficient of correlation 0.5<br />

(b) From the following data, compute coefficient of<br />

correlation between X and Y :<br />

X Y<br />

Series Series<br />

Arithmetic mean 25 18<br />

Squares of deviation from<br />

Arithmetic mean 136 138<br />

Summation of products of<br />

deviation of X and Y, series<br />

from their respective means 122<br />

Number of pairs observed 15<br />

700 4 MS-08<br />

<strong>Papers</strong> (A) (<strong>Dec</strong>ember) <strong>2010</strong><br />

(221)<br />

7<br />

7<br />

6. Indicate the difference between decision under risk and<br />

uncertainty in statistical decision theory. 14<br />

7. Explain the assumptions in large sample theory.Distinguish<br />

clearly between large sample and small sample test of<br />

significance. Are small sample tests valid for large<br />

samples ? Explain. 14<br />

8. (a) In an experiment on immunization of cattle from<br />

tuberculosis the following results were<br />

obtained :<br />

Died or Unaffected<br />

affected<br />

Inoculated 12 26<br />

Not inoculated 16 6<br />

Determine the effect of vaccine in controlling<br />

susceptibility to tuberculosis. 7<br />

(b) 500 apples are taken at random from a large<br />

consignment and 50 are found to be bad. Estimate<br />

the percentage of bad apples in the consignment<br />

and assign limits with in the percentage probably<br />

lies. 7<br />

MS-08 3 PTO

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