fundamentals of engineering supplied-reference handbook - Ventech!
fundamentals of engineering supplied-reference handbook - Ventech!
fundamentals of engineering supplied-reference handbook - Ventech!
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Table C. Tests on variances <strong>of</strong> normal distribution with unknown mean.<br />
199<br />
INDUSTRIAL ENGINEERING (continued)<br />
Hypothesis Test Statistic Criteria for Rejection<br />
H0: σ 2 = σ0 2<br />
H1: σ 2 ≠ σ0 2<br />
H0: σ 2 = σ0 2<br />
H1: σ 2 < σ0 2<br />
H0: σ 2 = σ0 2<br />
H1: σ 2 > σ0 2<br />
H0: σ1 2 = σ2 2<br />
H1: σ1 2 ≠ σ2 2<br />
χ<br />
( n −1)<br />
S<br />
2<br />
2<br />
0 = 2<br />
σ0<br />
2<br />
0<br />
F 0<br />
S<br />
=<br />
S<br />
2<br />
1<br />
2<br />
2<br />
χ<br />
χ<br />
2<br />
0<br />
2<br />
0<br />
> χ<br />
< χ<br />
χ <<br />
2<br />
χ 0 ><br />
F<br />
F<br />
0<br />
0<br />
> F<br />
< F<br />
2<br />
α 2, n−1<br />
or<br />
2<br />
1−α<br />
2,<br />
n−1<br />
2<br />
χ 1–α/2, n – 1<br />
2<br />
χ α, n – 1<br />
α 2,<br />
n −1,<br />
n −1<br />
1<br />
1−α<br />
2,<br />
n −1,<br />
n −1<br />
H0: σ1 2 = σ2 2<br />
H1: σ1 2 < σ2 2 2<br />
S2<br />
F 0 =<br />
F<br />
2<br />
0 > Fα,<br />
n2<br />
−1,<br />
n1<br />
−1<br />
S1<br />
H0: σ1 2 = σ2 2<br />
H1: σ1 2 > σ2 2 2<br />
S1<br />
F 0 =<br />
F<br />
2<br />
0 > Fα,<br />
n1<br />
−1,<br />
n2<br />
−1<br />
S2<br />
ELBOW REST<br />
HEIGHT<br />
BUTTOCK<br />
POPLITEAL<br />
LENGTH<br />
SITTING HEIGHT<br />
(ERECT)<br />
THIGH CLEARANCE<br />
HEIGHT<br />
POPLITEAL<br />
HEIGHT<br />
ANTHROPOMETRIC MEASUREMENTS<br />
KNEE HEIGHT<br />
BUTTOCK<br />
KNEE LENGTH<br />
SITTING HEIGHT (NORMAL)<br />
ELBOW-TO-ELBOW<br />
BREADTH<br />
SEAT BREADTH<br />
(AFTER SANDERS AND McCORMICK,<br />
HUMAN FACTORS IN DESIGN, McGRAW HILL, 1987)<br />
1<br />
2<br />
2
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