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IQ Scores Are Normally Distributed with an Average of 100

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IQ scores are normally distributed with an average of 100 and a standard deviation of 16. Some research suggests that left-handed individuals have a higher IQ score than right-handed individuals. To test this hypothesis, a researcher randomly selects 132 individuals and finds that their average IQ is 103.2 with a sample standard deviation of 14.6. Using the results from the sample, can you reject the null hypothesis that left-handed people have an IQ of 100 vs. the alternative that they have a higher IQ? What critical value should you choose if the size of the test is 5%?


Definitions:

Hydrophobic

Relating to or having a fear of water; in chemistry, refers to substances that repel water.

Vibrating Electrons

Electrons in motion, typically referring to the movement within atomic or molecular orbitals which can lead to the emission of photons.

Free Radicals

Highly reactive molecules with unpaired electrons that can cause cell damage, implicated in aging and various diseases.

Ions

Atoms or molecules that have gained or lost one or more electrons, resulting in a net electric charge.

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