Unformatted text preview: Two Independent Sample Hypothesis Testing Name Two different manufacturing facilities produce widgets to the same design speciﬁcation. A quality control
inspection of randomly selected parts provided the following data for a critical measurement. Sample Facility One Sample Facility Two
I), 28ize=8 n. a Size=8
g :Mean = 92.3 it: Mean = 95.7
’ Stan Dev = 2.4 , Stan Dev = 2.9
S; ’1 5.; ' Note: Assume e ual o ulation variances (Pooled Variance SZp = 7.085 and Sp = 2.66)
6‘ 2 1
I am 69 Unl<~o¢u~ CAN 2 Determine whether or not there is a statistically signiﬁcant difference (at OL = 5%) for the two facilities. Test Statistic: i0 — y" Xt : M zy 2 r6
9 2 .L 2.66 J. ’ T— ’ " '
df= p "o ’ In. 8 ’ a l 33 CriticalValue: Two 700/ cl = {70 4F: ﬂ’ {I},  2 584'8'2"/Y
f 0.02:, I? = t 2"‘.’3' Conclusion Regarding the Null HypotheSIS 1244! Ms: 4 =42 Is there a statistically signiﬁcant difference between the two facilities (Yes / No)?
z ““4"“ 4,141 M, +47 m
0
vl' 5/; m (add/7 . .r 107,219
4% 2,]1/5’ «it/qr whi/ ...
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 Spring '08
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