Test the Given Claim About the Means of Two Populations

question 46

Essay

Test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations. A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. At the 0.05 significance level, test the claim that the mean score is not affected by the course. Include your null and alternative hypotheses, the test statistic, P -value or critical value(s), conclusion about the null hypothesis, and conclusion about the claim in your answer.
$\begin{array} { l c c c c c c c c c c } \text { Before } & 74 & 83 & 75 & 88 & 84 & 63 & 93 & 84 & 91 & 77 \\\hline \text { After } & 73 & 77 & 70 & 77 & 74 & 67 & 95 & 83 & 84 & 75\end{array}$

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Definitions:

Dissociative Identity Disorder

A psychiatric disorder characterized by the presence of two or more distinct personality states that control a person's behavior at different times.

Dissociative Identity Disorder

A psychological disorder characterized by the presence of two or more distinct personality states that control an individual's behavior in different circumstances.

Distinctly Different Personalities

Refers to individuals having multiple and significantly varied personalities, often used in contexts discussing psychological conditions like Dissociative Identity Disorder.

Dissociative Disorder

A class of psychological disorders characterized by a disconnection between thoughts, identity, consciousness, and memory, often resulting from trauma or stress.