Questions: A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 80,571 households in the Expahlot city that the median family income is 55,000, with an average of 3.5 persons-per-household, and 82% live in a single household unit. Previously, the planner had surveyed a group of 500 randomly selected households in the city. The surveyed households had a median family income of 47,000, an average of 4.2 persons-per-household, and 77% lived in a single household unit. (a) For city planner's survey, Identify the population and the sample. Population: (Choose one) Sample: (b) Choose whether each number described below is a parameter or a statistic for the city planner's survey. Number Parameter Statistic The average of 4.2 persons-per-household of the group of randomly selected households 0 The 82% of all the households in the city that live in a single household unit The 55,000 median family income of all the households in the city

A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 80,571 households in the Expahlot city that the median family income is 55,000, with an average of 3.5 persons-per-household, and 82% live in a single household unit. Previously, the planner had surveyed a group of 500 randomly selected households in the city. The surveyed households had a median family income of 47,000, an average of 4.2 persons-per-household, and 77% lived in a single household unit.

(a) For city planner's survey, Identify the population and the sample.

Population: (Choose one)

Sample: 

(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey.

Number  Parameter  Statistic 
The average of 4.2 persons-per-household of the group of randomly selected households    0 
The 82% of all the households in the city that live in a single household unit    
The 55,000 median family income of all the households in the city
Transcript text: A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 80,571 households in the Expahlot city that the median family income is $\$ 55,000$, with an average of 3.5 persons-per-household, and $82 \%$ live in a single household unit. Previously, the planner had surveyed a group of 500 randomly selected households in the city. The surveyed households had a median family income of $\$ 47,000$, an average of 4.2 persons-per-household, and $77 \%$ lived in a single household unit. (a) For city planner's survey, Identify the population and the sample. Population: $\square$ (Choose one) Sample: $\square$ (b) Choose whether each number described below is a parameter or a statistic for the city planner's survey. \begin{tabular}{|l|l|l|} \hline Number & Parameter & Statistic \\ \hline The average of 4.2 persons-per-household of the group of randomly selected households & & 0 \\ \hline The $82 \%$ of all the households in the city that live in a single household unit & & \\ \hline The $\$ 55,000$ median family income of all the households in the city & \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Identify the population and the sample
  • Population: The population refers to the entire group of interest in the study. In this case, the population is all 80,571 households in Expahlot city.
  • Sample: The sample is a subset of the population that is selected for the survey. Here, the sample is the group of 500 randomly selected households surveyed by the city planner.
Step 2: Determine whether each number is a parameter or a statistic
  • The average of 4.2 persons-per-household of the group of randomly selected households: This is a statistic because it is calculated from the sample data.
  • The 82% of all the households in the city that live in a single household unit: This is a parameter because it describes the entire population.
  • The \$55,000 median family income of all the households in the city: This is a parameter because it describes the entire population.
Step 3: Complete the table

\[ \begin{tabular}{|l|l|l|} \hline Number & Parameter & Statistic \\ \hline The average of 4.2 persons-per-household of the group of randomly selected households & & \checkmark \\ \hline The 82\% of all the households in the city that live in a single household unit & \checkmark & \\ \hline The \$55,000 median family income of all the households in the city & \checkmark & \\ \hline \end{tabular} \]

Final Answer

(a) Population: All 80,571 households in Expahlot city.
Sample: The group of 500 randomly selected households surveyed by the city planner.

(b)

  • The average of 4.2 persons-per-household of the group of randomly selected households: Statistic
  • The 82% of all the households in the city that live in a single household unit: Parameter
  • The \$55,000 median family income of all the households in the city: Parameter
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