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    Confidence intervals for one population mean when S.D. is unknown /t-curve

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    For a t-curve with df = 8, find each t-value and illustrate your results graphically.

    a.The t-value having area 0.05 to its right.
    b. t 0.10
    c.The t-value having area 0.01 to its left
    (hint: A t-curve is symmetric about 0.)
    d.The two t-values that divide the area under the curve into a middle 0.95 area and two outside 0.025 areas

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    Solution Preview

    please refer to the attachment for graphs

    a.

    X
    0.05
    t*=1.860
    Pr(X<=t*)=1-0.05=0.95, and is a one-tailed distribution, with df=8
    From the t-table, t*(8, 0.95) = 1.860

    b. It's not clear in your posting what is t0.10, I will take it as the t-value having area 0.10 to its ...

    Solution Summary

    For a t-curve with df = 8, find each t-value and illustrate your results graphically.

    a.The t-value having area 0.05 to its right.
    b. t 0.10
    c.The t-value having area 0.01 to its left
    (hint: A t-curve is symmetric about 0.)
    d.The two t-values that divide the area under the curve into a middle 0.95 area and two outside 0.025 areas

    $2.19

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