In Testing the Hypotheses:
H₀: 1 - 2 $\bar { X } _ { 1 }$

question 2

Essay

In testing the hypotheses:
H₀: 1 - 2 = 0
H_A: 1 - 2 > 0,
two random samples from two normal populations produced the following statistics:
n₁ = 51, $\bar { X } _ { 1 }$ = 35, s1 = 28.
n₂ = 40, $\bar { X } _ { 2 }$ = 28, s2 = 10.
Assume that the two population variances are different. What conclusion can we draw at the 10% significance level?

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Definitions:

Raise Consciousness

To enhance one's awareness or understanding about social, political, or personal issues, often leading to a collective shift in perspective or action.

Egoentric Experience

A perspective where an individual interprets the world solely from their own viewpoint, often neglecting the perspectives of others.

Objectified Others

The perception of other people as objects or instruments for one's own purposes, rather than as individuals with their own autonomy.

I-Thou Relationships

A philosophical concept describing relationships that are based on mutual respect, openness, and genuine dialogue, as opposed to viewing others as objects.