Use the Traditional Method of Hypothesis Testing to Test the Given

question 20

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.
-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. $$\begin{array}{l}\begin{array} { l l l l l l l l l l l } \text { Before } &74&83&75&88&84&63&93&84&91&77\\\hline \text { After } & 73 & 77 & 70 & 77 & 74 & 67 & 95 & 83 & 84 & 75\end{array}\end{array}$$

---

Definitions:

Diversity of Citizenship

A legal principle that allows federal courts in the United States to hear cases where the parties involved are citizens of different states or countries.

Federal District Court

is a general trial court of the United States federal court system that has both original jurisdiction over federal cases and questions involving federal law.

Removal

The act of transferring a case from one court to another, typically from a state court to a federal court in the legal context.

Nerve Center

The core location or facility from which the control and coordination of activities are directed, often used in the context of business operations or network operations.