Free SAT Practice Question

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ID: SAT-MATH-PSDA-050
Section: SAT Math - Problem Solving & Data Analysis (PS&DA)
Topic: Inference from sample statistics and margin of error
Difficulty level: Hard

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A research team surveyed a random sample of \(500\) households in a large city and estimated that the mean amount of time a household spent on outdoor recreation was \(6.4\) hours per week, with an associated margin of error of \(0.5\) hour at the \(95\%\) confidence level. Assuming the sample was representative of the city’s households, which of the following is the most appropriate conclusion?

AEvery household in the city spent between \(5.9\) and \(6.9\) hours per week on outdoor recreation.

BThe mean amount of time spent on outdoor recreation by all households in the city was exactly \(6.4\) hours per week.

CIt is plausible that the mean amount of time spent on outdoor recreation by all households in the country was between \(5.9\) and \(6.9\) hours per week.

DIt is plausible that the mean amount of time spent on outdoor recreation by all households in the city was between \(5.9\) and \(6.9\) hours per week.

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