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Confidence Intervals for the Difference of Two Means

AP Statistics· difficulty 2/5

A 95% two-sample t-interval for mu1 - mu2 is (-1.2, 3.4).

confidence interval L U x-bar

What does this imply about a two-sided test of H0: mu1 = mu2 at alpha = 0.05?

  • A

    Reject H0 because the interval is positive on average.

  • B

    Reject H0 because the interval is wide.

  • C

    Fail to reject H0 because 0 is in the interval.

    check_circle
  • D

    Cannot determine.

Explanation

Since 0 lies in the 95% CI, the two-sided test at alpha = 0.05 fails to reject H0.

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