GATE (TF) Textile 2004 Question Paper Solution | GATE/2004/TF/52

Question 52 (Textile Engineering & Fibre Science)

If 95% confidence range of the mean based on 36 test samples in $\pm 5$ , the number of test samples required to obtain 95% confidence range of $\pm 3$ of the mean will be

(A)	10
(B)	50
(C)	100
(D)	144

[Show Answer]

Option C is correct.

Given-

95% confidence range

Number of samples tested(N1)=36

Standard error(SE1)= $\pm 5$

Number of samples tested(N2)=?

Standard error(SE2)= $\pm 3$

By formula-

$\frac{N_1}{N_2}=\frac{SE_2^2}{SE_1^2}$

$\frac{36}{N_2}=\frac{3^2}{5^2}$

$\frac{36}{N_2}=\frac{9}{25}$

N=100

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