Test the Given Claim About the Means of Two Populations

question 124

Essay

Test the given claim about the means of two populations. Assume that two dependent samples have been
randomly selected from normally distributed populations. $$\begin{array} { | l | c c c c c | } \hline \text { Subject } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } \\\hline \text { Before } & 71 & 66 & 67 & 77 & 75 \\\hline \text { After } & 75 & 75 & 65 & 80 & 87 \\\hline\end{array}$$ Using a 0.01 level of significance, test the claim that the tutoring has an effect on the math scores. 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.

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Definitions:

Frotteurist

An individual who achieves sexual arousal by rubbing against non-consenting persons in public places.

Groping

The act of touching or fondling another person in a sexual manner without their consent.

Pedophilic Disorder

A psychiatric disorder characterized by an adult's sexual interest in prepubescent children.

Late Adolescent

A developmental stage referring to individuals typically between the ages of 17-21, transitioning from teenage years to adulthood.