Random Samples of Size 17 Are Taken from a Population

question 76

Multiple Choice

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. Which of the following best describes the form of the sampling distribution of the sample mean for this situation?

• A)approximately normal because the sample size is small relative to the population size
• B)approximately normal because of the central limit theorem
• C)exactly normal
• D)None of these alternatives is correct.

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Definitions:

Lymphocytes

A type of white blood cell that is part of the immune system, responsible for fighting infections.

Neutrophils

A type of white blood cell, pivotal in defending the body against bacterial infections.

Basophils

A type of white blood cell involved in inflammatory responses and allergic reactions.

Neutrophils

A type of white blood cell that plays a key role in the immune system by engulfing and destroying pathogens.