) A manufacturer of television tubes has two types of tubes A and B. The tubes have
respective mean life-times A = 1495 hours and tg = 1895 hours: and standard deviations SA = 280 hours and S8 = 310 hours. Which tube has the greater (i) absolute dispersion, (ii) relative dispersion
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Given:
Xa = 1495 hours
Xb = 1895 hours
Sa = 280 hours
Sb = 310 hours
To find:
Which tube has the greater (i) absolute dispersion, (ii) relative dispersion
Solution:
Dispersion of type A = (Sa / Xa) × 100
Dispersion of type A = (280 / 1495) × 100
Dispersion of type A = 18.73%
Dispersion of type B = (Sb / Xb) × 100
Dispersion of type B = (310 / 1895) × 100
Dispersion of type B = 16.36%
Therefore, the absolute dispersion and relative dispersion is greater for type A tube
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