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Math Help - Hypothesis Testing -Significance level

  1. #1
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    Hypothesis Testing -Significance level

    The following data were sampled from a normally distributed population. At the 10% significance level, is there evidence to indicate that the mean of the population differs from 16?

    12, 15, 14, 19, 15, 20, 16
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  2. #2
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    Re: Hypothesis Testing -Significance level

    So far I determined

    12, 14, 15, 15, 16, 19, 20
    n = 7
    s = 2.7946
    α = 0.10

    HO: μ = 16
    HA: μ ≠ 16

    Am i doing the right approach? How do I finish this, I'm at a stump.
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  3. #3
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    Re: Hypothesis Testing -Significance level

    One of the most important thing you didn't calculate is mean. After that you can use Confidence Interval to test your hypothesis.
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  4. #4
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    Re: Hypothesis Testing -Significance level

    remember this is a two tail test so rejection region(area) on both sides of norm curve will be .05,nw check ur sample and find your SAMPLE VARIANCE,then apply the standardization formula z=x-mu/sqrt(sample variance)

    find p(x>16) find corresponding z value in N(0,1)and chk that value with z value for rejection region in this case 1.645 and then infer,hpe this helped
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