Constructing a Confidence Interval for a Population Mean

AP Statistics· difficulty 1/5

A researcher quadruples the sample size while keeping s and confidence level the same.

confidence interval L U x-bar

What happens to the margin of error?

  • A

    It is halved.

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  • B

    It stays the same.

  • C

    It is quartered.

  • D

    It doubles.

Explanation

ME is proportional to 1/sqrt(n). Multiplying n by 4 divides ME by sqrt(4) = 2.

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