Consistency for the Sample Average $\bar { Y }$ Can Be Defined as Follows, with the Exception of
A)

question 8

Multiple Choice

Consistency for the sample average $\bar { Y }$ can be defined as follows, with the exception of

• A) \(\bar { Y }\) converges in probability to \(\mu _ { Y }\)
• B) \(\bar { Y }\) has the smallest variance of all estimators.
• C) \(\bar { Y } \stackrel { p } { \rightarrow } \mu _ { Y }\)
• D) the probability of \(\bar { Y }\) being in the range \(\mu _ { Y } \pm c\) becomes arbitrarily close to one as \(n\) increases for any constant c>0 .

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Definitions:

Noun Clause

A subordinate clause that functions as a noun within a sentence, often serving as the subject, object, or the complement of a sentence.

Pronoun

A word used in place of a noun or noun phrase to avoid repetition and manage coherence within text.

Noun Clause

A dependent clause that functions as a noun within a larger sentence, often starting with words like "that," "whom," or "where."

Restrictive

Pertains to a limiting or controlling condition or rule.