For the Population of One Town, the Number of Siblings $\bar { x }$

question 48

Multiple Choice

For the population of one town, the number of siblings is a random variable whose relative frequency histogram has a reverse J-shape. Let $\bar { x }$ denote the mean number of siblings for a random sample of size 30. For samples of size 30, which of the following statements concerning the sampling distribution of the mean is true?

• A)The distribution of \(\bar { x }\) has a reverse J-shape.
• B) \(\bar { x }\) is approximately normally distributed.
• C) \(\bar { x }\) is normally distributed.
• D) None of the above statements is true.

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Definitions:

Gray matter

The dark-colored regions of the brain and spinal cord consisting mainly of neuronal cell bodies and dendrites, involved in processing and integrating information.

Corpus callosum

A broad band of nerve fibers joining the two hemispheres of the brain, facilitating communication between them.

Cerebral hemispheres

The two halves of the brain's cerebrum, responsible for integrating sensory information and coordinating brain functions.

Nerve fibers

Long projections of nerve cells that transmit electrical impulses throughout the body.