A Population Has a Mean of 84 and a Standard

question 122

Multiple Choice

A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80.54 and 88.9 is

• A)0.0347
• B)0.7200
• C)0.9511
• D)8.3600

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Definitions:

Lagrangian

Function to be maximized or minimized, plus a variable (the Lagrange multiplier) multiplied by the constraint.

Lagrange Multiplier

A technique used in constrained optimization problems to find the maximum or minimum of a function subject to constraints.

Lambda

A symbol commonly used in mathematics and physics to represent wavelengths, eigenvalues, and decay constants, among other concepts.

Lagrange Multipliers

A strategy used in mathematical optimization to find the local maxima and minima of a function subject to equality constraints.