Confidence Intervals for the Difference of Two Means

AP Statistics· difficulty 2/5

Two independent samples: x-bar1 - x-bar2 = 4.5, SE = 1.5, conservative df = 14, t* = 2.145 for 95%.

confidence interval L U x-bar

What is the 95% CI for mu1 - mu2?

  • A

    (2.00, 7.00)

  • B

    (3.00, 6.00)

  • C

    (0.00, 9.00)

  • D

    (1.28, 7.72)

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Explanation

ME = 2.145 * 1.5 = 3.22. CI = 4.5 ± 3.22 = (1.28, 7.72).

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