Questions: Determine whether the number described is a parameter or statistic. a) In a survey of working Mercer County residents, the average time commuting to work is 25.6 minutes. b) The average height of all adult women in Mercer County is 64 inches.

Determine whether the number described is a parameter or statistic. a) In a survey of working Mercer County residents, the average time commuting to work is 25.6 minutes. b) The average height of all adult women in Mercer County is 64 inches.
Transcript text: 4) Determine whether the number described is a parameter or statistic. a) In a survey of working Mercer County residents, the average time commuting to work is 25.6 minutes. $\qquad$ b) That average height of all adult women in Mercer County is 64 inches. $\qquad$
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Solution

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Solution Steps

To determine whether a number is a parameter or a statistic, we need to understand the definitions:

  • A parameter is a number that describes a characteristic of a population.
  • A statistic is a number that describes a characteristic of a sample.

For each part of the question: a) The average time commuting to work is based on a survey of working Mercer County residents, which is a sample of the population. b) The average height of all adult women in Mercer County is a characteristic of the entire population.

Step 1: Identify the Type for Description (a)

The description states: "In a survey of working Mercer County residents, the average time commuting to work is 25.6 minutes."

Since this average is based on a survey, it represents a sample of the population. Therefore, it is a statistic.

Step 2: Identify the Type for Description (b)

The description states: "The average height of all adult women in Mercer County is 64 inches."

Since this average describes the entire population of adult women in Mercer County, it is a parameter.

Final Answer

  • For description (a): The number is a \(\text{Statistic}\).
  • For description (b): The number is a \(\text{Parameter}\).

\[ \boxed{\text{Statistic}} \] \[ \boxed{\text{Parameter}} \]

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