Constructing a Confidence Interval for a Population Mean

AP Statistics· difficulty 2/5

Software for matched-pairs gives x-bar_d = 1.8, SE = 0.6, df = 9, t* = 2.262 for 95%.

Matched Pairs Value x-bar_d 1.8 SE 0.6 df 9 t*(95%) 2.262

The 95% CI for mu_d is approximately:

  • A

    (1.80, 2.40)

  • B

    (0.44, 3.16)

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  • C

    (1.20, 2.40)

  • D

    (0.00, 3.60)

Explanation

ME = 2.262 * 0.6 = 1.357. CI = 1.8 ± 1.36 = (0.44, 3.16).

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