A Teacher Is Interested in Performing a Hypothesis Test to Compare

question 10

Essay

A teacher is interested in performing a hypothesis test to compare the mean math score of the girls and the mean math score of the boys. She randomly selects 10 girls from the class and then randomly selects 10 boys. She arranges the girls' names alphabetically and uses this list to assign each girl a number between 1 and 10. She does the same thing for the boys. She pairs each girl with the boy having the same number. She then performs a paired t-test. Do you think that in this situation a paired t-test is appropriate? Explain your answer.

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Definitions:

Westward Expansion

The 19th-century movement of settlers into the American West, driven by the belief in Manifest Destiny and leading to significant territorial acquisitions and conflicts.

Virginia Plan

A suggestion made by delegates from Virginia for a two-chambered legislative body while creating the United States Constitution in 1787.

Edmund Randolph

An American attorney and politician who served as the first U.S. Attorney General and the seventh Governor of Virginia.

James Wilson

One of the Founding Fathers of the United States and a signatory of the United States Declaration of Independence, as well as a key contributor to the drafting of the U.S. Constitution.