A Sample of Size N Is Selected at Random from a Population

question 21

Multiple Choice

A sample of size n is selected at random from a population that has mean  and standard deviation .The sample mean will be determined from the observations in the sample.Which of the following statements about the sample mean is/are TRUE?

• A)The mean of is the same as the population mean (i.e. ,  ).
• B)The variance of is .
• C)The standard deviation of decreases as the sample size grows larger.
• D)All of the above are true.
• E)Only A and B are true.

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Definitions:

Basal Ganglia

A group of nuclei in the brain involved in movement control and coordination.

Initiating Movements

The process of starting a physical action or sequence of actions by the activation of motor pathways in the brain.

Planning

The process of thinking about and organizing the activities required to achieve a desired goal, involving the creation and maintenance of a plan.

Brainstem

A critical structure at the base of the brain connecting the cerebrum with the spinal cord, responsible for regulating basic life functions such as breathing, heart rate, and arousal.