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In Order to Improve the Grades of Students at UTC

question 3

Short Answer

In order to improve the grades of students at UTC, several incentive programs have been introduced. Results of random samples of grades from after and before the incentive programs are given below.
 After Incentives  Before incentives  Sample Size 14.0012.00 Sample Mean 2.852.61 Sample Standard Deviation 0.400.35 Sample Mode 2.503.00\begin{array}{lcc}&\text { After Incentives }&\text { Before incentives }\\\text { Sample Size } & 14.00 & 12.00 \\\text { Sample Mean } & 2.85 & 2.61 \\\text { Sample Standard Deviation } & 0.40 & 0.35 \\\text { Sample Mode } & 2.50 & 3.00\end{array}
a. Give the hypotheses.
b. Compute the test statistic.
c. At a 0.1 level of significance, test to determine whether the incentive programs have significantly increased the average grades.


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Appellate Courts

Courts that have the authority to review and change the decisions of lower courts, often focusing on legal errors rather than factual disputes.

Precedent

An earlier event or action regarded as an example or guide to be considered in subsequent similar circumstances.

Judicial Review

The power of courts to assess whether a law, policy, or executive action is in accord with the constitution or law.

Strict Construction

A legal philosophy that interprets the Constitution in a literal and narrow way, focusing closely on the text and the original intentions of the framers.

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