GATE (TF) Textile 2011 Question Paper Solution | GATE/2011/TF/30

Question 30 (Textile Engineering & Fibre Science)

A yarn has mean strength of 10 N with a standard deviation of 1 N. The number of tests which must be conducted, so that at 95% confidence level, maximum error in the estimated mean strength is 1.96% is ____________________

[Show Answer]

Given ,
Standard deviation(\sigma)=1 N

Mean strength(x)=10 N

Maximum error in mean strength(S.E%)=1.96%

The number of tensts(N)=?

By formula-

CV=\frac{\sigma}{x}\times 100
CV=\frac{1}{10}\times 100

N=(\frac{1.96 \times CV}{S.E.})^2

N=(\frac{1.96 \times 10}{1.96})^2

N=100 (Ans)

Frequently Asked Questions | FAQs
GATE Textile Engineering and Fibre Science (TF) Question Papers | GATE Textile Question Answer | GATE Textile Solved Question Papers | GATE Textile Papers | GATE Textile Answer Key