Use the Traditional Method of Hypothesis Testing to Test the Given

question 63

Essay

Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that
two dependent samples have been randomly selected from normally distributed populations.
-Ten different families are tested for the number of gallons of water a day they use before and after viewing a conservation video. At the 0.05 significance level, test the claim that the mean is the same before and after the $$\begin{array}{l}\text { viewing. }\\\begin{array} { l l l l l l l l l l l } \text { Before } & 33 & 33 & 38 & 33 & 35 & 35 & 40 & 40 & 40 & 31 \\\hline \text { After } & 34 & 28 & 25 & 28 & 35 & 33 & 31 & 28 & 35 & 33\end{array}\end{array}$$

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Definitions:

Rational Emotive Behavior Therapy

A form of cognitive-behavioral therapy that identifies and challenges irrational beliefs to alter dysfunctional emotions and behaviors.

Emotional Reaction

An individual's response to a specific stimulus or situation, often involving complex psychological and physiological processes.

Childhood Experiences

The collection of events, interactions, and relationships a person has during their early years of life, influencing their development and personality.

Logic

A system of reasoning or a framework for rational thought, used to analyze arguments and deduce conclusions based on premises.