Constructing a Confidence Interval for a Population Mean

AP Statistics· difficulty 2/5

Software output for a one-sample t-interval shows x-bar = 25.0, SE = 1.2, df = 19, t* = 2.093.

Output Value x-bar 25.0 SE 1.2 df 19 t*(95%) 2.093

The 95% CI is approximately:

  • A

    (20.00, 30.00)

  • B

    (24.00, 26.00)

  • C

    (23.80, 26.20)

  • D

    (22.49, 27.51)

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Explanation

ME = 2.093 * 1.2 = 2.51. CI = 25.0 ± 2.51 = (22.49, 27.51).

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