Birth Weights For 100 randomly selected births from Bellevue Hospital Center, the birth weights are added and then divided by 100. The result is 3240 g. Is the value of 3240 g a statistic or a parameter?

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Understand the difference between a statistic and a parameter: A statistic is a numerical value that describes a characteristic of a sample, while a parameter is a numerical value that describes a characteristic of a population.

Identify the sample and the population in the problem: The problem mentions 100 randomly selected births, which constitutes a sample from the larger population of all births at Bellevue Hospital Center.

Determine what the value 3240 g represents: Since the value is derived from the sample of 100 births, it is a measure of the average birth weight for this sample.

Recognize that because 3240 g is calculated from a sample, it is a statistic. A parameter would require data from the entire population of births at the hospital.

Conclude that the value of 3240 g is a statistic because it describes the average birth weight of the sample, not the entire population.

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주요 개념

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Statistic vs. Parameter

A statistic is a numerical value that describes a characteristic of a sample, while a parameter describes a characteristic of a population. In this context, the birth weights of 100 randomly selected births represent a sample, making the average weight of 3240 g a statistic, not a parameter.

Sample

A sample is a subset of a population selected for analysis. It is used to make inferences about the population without examining every individual. In the question, the 100 randomly selected births from Bellevue Hospital Center constitute a sample of the larger population of all births at the hospital.

Population

A population includes all members of a defined group that is being studied or analyzed. It is the complete set from which a sample is drawn. In this scenario, the population would be all births at Bellevue Hospital Center, while the sample is the 100 selected births.