In Order to Test the Hypotheses:
H₀: µ $\mu$ ₁ - µ

question 47

Essay

In order to test the hypotheses:
H₀: µ $\mu$ ₁ - µ $\mu$ ₂ = 0
H₁: µ $\mu$ ₁ - µ $\mu$ ₂ ? $\neq$ 0,
we independently draw a random sample of 18 observations from a normal population with standard deviation of 15, and another random sample of 12 from a second normal population with standard deviation of 25.
a. If we set the level of significance at 5%, determine the power of the test when $\mu$ ₁ - $\mu$ ₂ = 5.
b. Describe the effect of reducing the level of significance on the power of the test.

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Definitions:

Nonverbal Cues

Signals conveyed through body language, facial expressions, gestures, and other forms of non-linguistic communication that can inform, guide, or modify interactions.

Interpersonal Communication Myths

False beliefs or misconceptions about the nature and processes of interpersonal communication, which can hinder effective interaction.

Social Presence

The feeling that communicators have of engaging in unmediated, face-to-face interactions when messages are being sent electronically.

Electronic Communicators

Devices or platforms used for digital communication, such as computers, smartphones, and social media platforms.