Find a 99 Percent Confidence Interval for the Difference Between $\sigma$

question 112

Multiple Choice

Find a 99 percent confidence interval for the difference between means n₁ = 49,n₂ = 49, ₁ = 87, ₂ = 92, $\sigma$ ₁² = 13 and $\sigma$ ₂² = 15.

• A)(-12.30 2.30)
• B)(-6.47 -3.53)
• C)(-6.94 -3.05)
• D)(-5.57 -4.43)

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Definitions:

Personality Consistency

The degree to which an individual's personality traits remain stable over time and across different situations.

Openness

In psychology, one of the Big Five personality traits, characterized by appreciation for art, emotion, adventure, unusual ideas, and curiosity.

Neuroticism

A personality trait characterized by anxiety, fear, moodiness, worry, envy, frustration, jealousy, and loneliness.

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