Test the Given Claim About the Means of Two Populations

question 17

Essay

Test the given claim about the means of two populations. Assume that two dependent samples
have been randomly selected from normally distributed populations. $$\begin{array} { l | c c c c c } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \text { Before } & 71 & 66 & 67 & 77 & 75 \\\hline \text { After } & 75 & 75 & 65 & 80 & 87\end{array}$$ 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:

Stimulant Drugs

Substances that increase activity in the central nervous system or the body, often used to enhance alertness or physical performance.

Convulsions

Involuntary, rapid movements of a body's muscles, which can occur as a symptom of an epileptic seizure or other medical conditions.

Heart Failure

A medical condition in which the heart is unable to pump sufficiently to maintain blood flow to meet the body's needs.

Melatonin

A hormone produced by the pineal gland that regulates sleep and wakefulness.