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What does a confidence interval around an estimated mean express?

Correct Answer

B) A range likely to contain the true mean value

Why this is correct: A confidence interval provides a range where the true population mean is likely to fall, based on sample data and a chosen confidence level (e.g., 95%). Why the other choices are wrong: 'The range within which every sale price falls' describes the data spread, not a confidence interval. 'The probability that the sample was unbiased' is incorrect; confidence intervals don't measure bias. 'The share of buyers who agree with the figure' is unrelated to statistical confidence. Exam tip: Confidence interval = range for the true mean; standard deviation = spread of individual data points.

Answer Options
A
The range within which every sale price falls
B
A range likely to contain the true mean value
C
The probability that the sample was unbiased
D
The share of buyers who agree with the figure

Why This Is the Correct Answer

Why this is correct: A confidence interval provides a range where the true population mean is likely to fall, based on sample data and a chosen confidence level (e.g., 95%). Why the other choices are wrong: 'The range within which every sale price falls' describes the data spread, not a confidence interval. 'The probability that the sample was unbiased' is incorrect; confidence intervals don't measure bias. 'The share of buyers who agree with the figure' is unrelated to statistical confidence. Exam tip: Confidence interval = range for the true mean; standard deviation = spread of individual data points.

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