Question

Say you have 30 resistors with a nominal value of 100 Ohms. What does the standard deviation need to be for 99% of the resistors to be within ±10% of the nominal value?

Answer #1

middle proportion= 0.99

proportion left 0.01 is equally
distributed both left and right side of normal
curve

z value at 0.005 = ±
2.58 (excel formula =NORMSINV(
0.01 / 2 ) )

z = ( x - µ ) / (σ/√n)

σ=(x-µ)*√n / z

σ=(-10)*√30 / -2.58

we get,

σ=21.2639

**so, std dev = 21.2639**

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