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

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Definitions:

Younger Than 50

Refers to individuals or entities that are below the age of 50 years.

Income Inequality

The uneven distribution of income within a population, leading to disparities in wealth and living standards among different social and economic groups.

Rates Of Crime

The statistical measure of crimes committed per unit of population or given time period within a specific area.

Rates Of Drug Use

The prevalence or frequency of drug consumption within a particular population over a specified period of time.