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In 2007, a Study of Close to 250,000 18-19 Year-Old

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Essay

In 2007, a study of close to 250,000 18-19 year-old Norwegian males found that first-borns have an IQ that is 2.3 points higher than those who are second-born. To see if you can find a similar evidence at your university, you collect data from 250 students, of which 140 are first-borns. After subjecting each of these individuals to an IQ test, you find that the first-borns score 108.3 with a standard deviation of 13.2, while the second borns achieve 107.1 with a standard deviation of 11.6. You hypothesize that first-borns and second-borns in a university population have identical IQs against the one-sided alternative hypothesis that first borns have higher IQs. Using a size of the test of 5%, what is your conclusion?

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Definitions:

Aptitude Test

An examination designed to measure a person's ability to develop skills or acquire knowledge, predicting future performance.

Sample Variance

A measure of the dispersion or spread of a set of sample data points around their sample mean.

Flu Shots

Vaccinations that protect against influenza, recommending annually to safeguard against the evolving flu virus strains.

Sample Mean

The average of a set of numerical values, calculated by summing the values and then dividing by the number of observations.

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