GATE (TF) Textile 2009 Question Paper Solution | GATE/2009/TF/49

Question 49 (Textile Engineering & Fibre Science)

99% confidence range of the mean yarn strength based on 64 test samples is \pm 8. The number of test samples required to obtain 99% confidence rage of 4 \pm of the yarn strength will be

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Option C is correct


99% confidence range

No. of samples(N1)=64

Confidence range of mean yarn strength(R1)=8

No. of sample(N2)=?

Confidence range of mean yarn strength(R2)=4

By formula-

No. of samples=\frac{2.56 \times CV percentage}{S.E.}^2

No. of samples=\frac{2.56 \times CV}{S.E.}^2

Confidence range(R)=2.56 x Standard error(S.E)

No. of sample \Alpha \frac{1}{S.E.^2}


No. of sample \Alpha \frac{1}{R^2}




N_2=\frac{64}{16} \times 64

N_2=256 (Ans)

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