Solve the Problem $\mu _ { 1 } = \mu _ { 2 }$

question 55

Multiple Choice

Solve the problem.
-A hypothesis test is to be performed to test the equality of two population means. The sample sizes are large and the samples are independent. A 95% confidence interval for the difference between the population means is (1.4, 8.7) . If the hypothesis test is based on the same samples, which of the following do you know for sure:
A: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $5 \%$ level of significance.
B: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $10 \%$ level of significance.
C: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $1 \%$ level of significance.

• A) A, B, and C
• B) A only
• C) A and C
• D) A and B

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Definitions:

Dissociative Fugue

A rare psychiatric disorder characterized by reversible amnesia for personal identity, including memories, personality, and other identifying characteristics.

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is a condition marked by the loss of memories, such as facts, information, and experiences, caused by brain injury, disease, or psychological trauma.

Sudden Travel

The act of quickly moving or being moved from one location to another without prior planning or preparation.

Magnification

In cognitive psychology, it refers to a distortion where an individual exaggerates the negatives or minimizes the positives of a situation.