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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. 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.
Profitability
An indicator of how well a company is able to produce profit through its business activities.
Liquidity
A measure of how easily assets can be converted into cash or cash equivalents without significantly altering their value, essential for meeting short-term obligations.
Asset Management
A methodical approach to the creation, operation, upkeep, and disposition of assets that ensures cost efficiency.
Debt Financing
Raising capital through borrowing money that must be repaid over time, with interest, from lenders or financial institutions.
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