Constructing a Confidence Interval for a Population Mean

AP Statistics· difficulty 1/5

A researcher wants a 95% z-interval with margin of error at most 2 units. From a pilot study, sigma = 8.

confidence interval L U x-bar

What is the minimum sample size needed?

  • A

    16

  • B

    62

    check_circle
  • C

    8

  • D

    32

Explanation

n >= (z* sigma/ME)^2 = (1.96 * 8/2)^2 = (7.84)^2 = 61.5. Round up to 62.

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