Control charts for X-bar and S are maintained for the fill volume of protein shake drink. The specifications are 330 ± 10 mL. After 40 samples of size n=20 are analyzed, we find that: 40 40 Xi = 13,200 SSi = 296 i=1 i=1 If the process mean shifts to 335, what is the probability of detecting the change in the first sample following the shift?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
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Control charts for X-bar and S are maintained for the fill volume of protein shake drink. The
specifications are 330 + 10 mL. After 40 samples of size n=20 are analyzed, we find that:
40
40
X¡ = 13,200
Si = 296
i=1
i=1
If the process mean shifts to 335, what is the probability of detecting the change in the first sample
following the shift?
not enough information
0.2381
0.0396
0.4923
0.0993
Transcribed Image Text:Control charts for X-bar and S are maintained for the fill volume of protein shake drink. The specifications are 330 + 10 mL. After 40 samples of size n=20 are analyzed, we find that: 40 40 X¡ = 13,200 Si = 296 i=1 i=1 If the process mean shifts to 335, what is the probability of detecting the change in the first sample following the shift? not enough information 0.2381 0.0396 0.4923 0.0993
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