Imagine That You Had Sampled 1,000,000 Females and 1,000,000 Males

question 20

Essay

Imagine that you had sampled 1,000,000 females and 1,000,000 males to test whether or not females have a higher IQ than males. IQs are normally distributed with a mean of 100 and a standard deviation of 16. You are excited to find that females have an average IQ of 101 in your sample, while males have an IQ of 99. Does this difference seem important? Do you really need to carry out a t-test for differences in means to determine whether or not this difference is statistically significant? What does this result tell you about testing hypotheses when sample sizes are very large?

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Definitions:

Immune System Functioning

The complex processes and mechanisms by which the body detects and defends against pathogens, such as viruses and bacteria.

Surgical Wounds

Injuries or incisions made to the body's tissues as a result of surgery, requiring proper care to heal and avoid infection.

Vulnerable to Colds

Having an increased likelihood of contracting colds due to weakened immune system or exposure.

Tend-And-Befriend

A theory proposing that women are more likely to respond to stress by nurturing others and forming social alliances, rather than the commonly known "fight-or-flight" response.