Test the Given Claim About the Means of Two Populations

question 37

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.

---

Definitions:

Promisee

The party in a contract to whom a promise is made by another party (the promisor), and who stands to benefit from the fulfillment of that promise.

State Common Law

The body of law developed through court decisions and precedent, as opposed to laws enacted by a legislative body, within a particular state.

Article 2

A portion of the Uniform Commercial Code that deals specifically with the sale of goods.

Statute

A written law passed by a legislative body at both the federal and state levels, intended to prescribe or prohibit certain actions.