Constructing a Confidence Interval for a Population Mean

AP Statistics· difficulty 1/5

Eight pairs yield x-bar_d = 6.2, s_d = 3.8. Use t* = 2.365 for 95% CI with df = 7.

Pair index Difference 0

What is the 95% CI for mu_d?

  • A

    (3.02, 9.38)

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  • B

    (2.85, 9.55)

  • C

    (5.62, 6.78)

  • D

    (0.00, 12.40)

Explanation

ME = 2.365 * 3.8/sqrt(8) = 2.365 * 1.343 = 3.18. CI = 6.2 ± 3.18 = (3.02, 9.38).

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