The Difference Between the Central Limit Theorems for a Scalar

question 19

Multiple Choice

The difference between the central limit theorems for a scalar and vector-valued random variables is

• A)that n approaches infinity in the central limit theorem for scalars only.
• B)the conditions on the variances.
• C)that single random variables can have an expected value but vectors cannot.
• D)the homoskedasticity assumption in the former but not the latter.

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Definitions:

OC Curve

Operating Characteristic Curve, a graph that describes how well a statistical test or procedure performs in detecting a true condition.

AOQ Curve

is a graphical representation that shows the relationship between the Average Outgoing Quality (AOQ) and the fraction defective in incoming batches, used in quality control to determine the effectiveness of inspection procedures.

Population Defective Rate

The proportion of items in a specified population that are considered to be defective or unsatisfactory.

OC Curve

Operating Characteristic Curve; it's a graphical representation used in statistical quality control to show the probability of accepting lots or batches of items based on their quality.