January 2014
Intermediate to advanced
144 pages
4h 2m
English
Content preview from Mathematical Formulas for Industrial and Mechanical Engineering
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6.21 Pearson ProductMoment Correlation Coefficient
r 5
SS
xy
ffiffiffiffiffiffiffiffiffiffiffiffiffiffi
SS
x
SS
y
p
6.22 Test Statistic for Hypothesis Tests about a Population
Proportion
Z 5
p 2 p
0
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
ðp
0
ð1 2 p
0
ÞÞ=n
p
6.23 Chi-Square Goodness-of-Fit Test Statistic
χ
2
5
X
f
o
2f
e
ðÞ
2
f
e
; df 5 ðc 2 1Þ
6.24 Standard Normal Distribution Table
Cumulative probabiliti es: P(Z # z) for z # 0
0
z
Probability
118 Mathematical Formulas for Industrial and Mechanical Engineering
Z 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00
23.5 0.0002
23.4 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003
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