When Running an Experiment, Suppose We Assume the Participants in the Experiment

question 10

Multiple Choice

When running an experiment, suppose we assume the participants in the experiment are a random sample of the population. Let Y_i be the outcome for individual i and let D_i equal one if individual i receives the treatment and zero otherwise. What does the assumption of a random treatment imply?

• A) \( \overline {Y _ { i } \mid D _ { i } = 1}\) - \( \overline {Y _ { i } \mid D _ { i } = 0}\) approximates E(Y_i)
• B) \(\underline { Y _ { i }}\) approximates E(Y_i|D_i = 1) - E(Y_i|D_i = 0)
• C) \( \overline {Y _ { i } \mid D _ { i } = 1}\) - \( \overline {Y _ { i } \mid D _ { i } = 0}\) = 0
• D) Selection Bias = 0

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Definitions:

Diencephalon

A region of the brain that includes structures such as the thalamus and hypothalamus, involved in sensory and autonomic functions.

Anterior Pituitary

The front portion of the pituitary gland, producing and releasing hormones that regulate various bodily functions.

Posterior Pituitary

A part of the brain that releases hormones produced in the hypothalamus, such as oxytocin and vasopressin.

Adrenal Glands

Glands located above the kidneys that produce a variety of hormones, including adrenaline and cortisol, involved in stress response and other physiological functions.