Constructing a Confidence Interval for a Population Mean

AP Statistics· difficulty 3/5

A pilot study suggests sigma ≈ 5. A researcher wants a 95% CI with margin of error at most 1 unit.

confidence interval L U x-bar

The minimum sample size needed (using z* = 1.96) is approximately:

  • A

    10

  • B

    97

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  • C

    50

  • D

    25

Explanation

n >= (1.96 * 5/1)^2 = 9.8^2 = 96.04. Round up to 97.

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