To Specify That $X _ { 1 }$ Must Be at Most 75% of the Blend Of

question 41

Multiple Choice

To specify that $X _ { 1 }$
Must be at most 75% of the blend of $X _ { 1 } , X _ { 2 } , \text { and } X _ { 3 }$
We must have a constraint of the form

• A)
• \(X _ { 1 } \geq 0.75 \left( X _ { 2 } + X _ { 3 } \right)\)
• B)
• \(X _ { 1 } \leq 0.25 \left( X _ { 1 } + X _ { 2 } + X _ { 3 } \right)\)
• C)
• \(X _ { 1 } \leq 0.75 \left( X _ { 1 } + X _ { 2 } + X _ { 3 } \right)\)
• D)
• \(0.75 X _ { 1 } \geq X _ { 1 } + X _ { 2 } + X _ { 3 }\)
• E)
• \(.25 X _ { 1 } \geq 0.75 \left( X _ { 2 } + X _ { 3 } \right)\)

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Definitions:

Familywise Error

The overall likelihood that a Type I error (incorrect rejection of a true null hypothesis) will occur across a set of related hypotheses.

Type I Error

Error that occurs when the null hypothesis is true but the decision is made to reject the null hypothesis.

Probability

Likelihood of occurrence of a particular outcome of an event given all possible outcomes.

Familywise Error

The probability of making one or more false discoveries, or type I errors, when performing multiple hypotheses tests.