Question

A manufacturer of television tubes has two types A and B. The tubes have respective mean life XA=1495 hours and XB=1895 hours and standard deviation SA= 280 hours and SB= 310 hours.
which tube has the greater (1) absolute dispersion (2) relative Dispersion

Answer 1

Explanation:

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Answer 2

Answer:

Tube A has greater relative dispersion

Explanation:

i. Absolute dispersion is standard deviation because SA = 280 < SB = 310

So Tube B has the greater absolute dispersion

ii. Relative dispersion B Vs

$Vs = \frac{s}{vs} \\So, Vsa = \frac{280}{1485} = 0.1873\\Vsb = \frac{310}{1885} = 0.1636\\because VSA > VSB$

Tube A has greater relative dispersion

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