Problem preview

S-IC.1 Warmup M3-047-A02-V04

Understand statistics as inference about population parameters from random samples.

Separate parameter and statistic type, symbol, and value

Problem

A worker sample has mean commute time \(27.3~\text{minutes}\) and is used to estimate the true mean for all city workers. Identify the parameter and statistic with their symbols and known values.

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Parameter: unknown population mean commute time μ for all city workers. Statistic: sample mean x̄=27.3 minutes.

Parameter: population mean labeled x̄. Statistic: sample mean 27.3 minutes labeled μ.

Parameter: one worker’s commute time. Statistic: the sample mean 27.3 minutes.

Parameter: the observed sample mean 27.3 minutes. Statistic: the unknown mean for all city workers.

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Curriculum context

Course: Math III
Standard: S-IC.1
Category: Statistics and Probability
Domain: Making Inferences and Justifying Conclusions
Objective: Understand statistics as inference about population parameters from random samples.
Problem type: Separate parameter and statistic type, symbol, and value