Inference from Sample Statistics and Margin of Error

SAT Math· difficulty 5/5

A 95% confidence interval is constructed for the true mean. Which statement is correct?

  • A

    95% of all sample means fall in this interval.

  • B

    The true mean has a 95% chance of being a particular value.

  • C

    If many random samples are taken and CIs constructed, about 95% will contain the true mean.

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  • D

    All future samples will lie in this interval.

Explanation

A 95% CI means: across many repeated samples, about 95% of the constructed intervals will contain the true population mean.

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