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The Department of Education Would Like to Test the Hypothesis

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The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.05. The test statistic for this hypothesis test would be ______.


Definitions:

Independent Samples

Samples that are collected in such a way that the sample values of one group do not affect or influence the sample values of another group.

Matched Pairs

A study design where subjects are paired based on certain characteristics, and each pair differs by the factor being tested.

Test Statistic

A value calculated from sample data used to evaluate the validity of a hypothesis in statistical tests.

Degrees of Freedom

Refers to the count of values in the final calculation of a statistic that are free to vary.

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