A Random Sample Of $n$ Observations, Selected from a Normal Population, Is Used to Test

question 137

Multiple Choice

A random sample of $n$ observations, selected from a normal population, is used to test the null hypothesis $H _ { 0 } : \sigma ^ { 2 } = 155$ . Specify the appropriate rejection region.
$$H _ { \mathrm { a } } : \sigma ^ { 2 } < 155 , n = 14 , \alpha = .01$$

• A) \(\chi ^ { 2 } < 4.10691\)
• B) \(\chi ^ { 2 } < 4.66043\)
• C) \(\chi ^ { 2 } < 27.6883\)
• D) \(\chi ^ { 2 } < 29.1413\)

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Definitions:

Intuitive

Pertaining to or based upon intuition, often involving a grasp of truths, relationships, facts, or the like, spontaneously or without logical reasoning.

Framing Error

A cognitive bias where the way information is presented influences decision making or judgment.

Escalation

The process of increasing or intensifying a situation or conflict, often leading to a more serious state.

Overconfidence

A cognitive bias where someone's subjective confidence in their judgments is greater than their objective accuracy.