A Random Sample of Size 36 Is Taken from a Population

question 94

Multiple Choice

A random sample of size 36 is taken from a population with mean µ = 17 and standard deviation σ = 6.The probability that the sample mean is between 15 and 18 is _______.

• A) 0.0228
• B) 0.8185
• C) 0.8413
• D) 0.8641

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Definitions:

Homeostasis

The self-regulating process by which biological systems maintain stability while adjusting to conditions that are optimal for survival.

Blood-Brain Barrier

The blood-brain barrier is a selective semipermeable border that prevents most substances in the blood from entering the brain, thus protecting it from pathogens and toxins while allowing essential nutrients to pass through.

Cortisol

A steroid hormone in the body, often released in response to stress and used as a marker for stress levels.

Corticotropin-Releasing Hormone

A hormone involved in the stress response, stimulating the pituitary gland to release adrenocorticotropic hormone, which then promotes the production of cortisol by the adrenal glands.