Explore BrainMass

Explore BrainMass

    Test statistic and p-value for sample

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Calculate the test statistic and p-value for each sample.
    a. H0: μ = 60 versus H1: μ = 60, α = .025, ¯x = 63, σ= 8, n = 16
    b. H0: μ ≥ 60 versus H1: μ < 60, α = .05, ¯x = 58, σ= 5, n = 25
    c. H0: μ ≤ 60 versus H1: μ > 60, α = .05, ¯x = 65, σ= 8, n = 36

    © BrainMass Inc. brainmass.com March 4, 2021, 8:44 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/test-statistic-value-190033

    Solution Preview

    Please find attached the solution to your problems.

    Calculate the test statistic and p-value for each sample.
    a. H0: μ = 60 versus H1: μ = 60, α = .025, ¯x = 63, σ = 8, n = 16
    b. H0: μ ≥ 60 versus H1: μ < 60, α = .05, ¯x = 58, σ = 5, n = 25
    c. H0: μ ≤ 60 versus H1: μ > 60, α = .05, ¯x = 65, σ = 8, n = 36

    Assumptions:
    σ =Population standard deviation.
    The data follows a normal distribution.
    With these two assumptions, the Z test can be used for given data.
    Hypothesis Test for mean:

    Assuming you have a large enough sample such that the central limit theorem holds, or you have a sample of any size from a normal population ...

    Solution Summary

    The test statistic and p-value for each sample is determined.

    $2.49

    ADVERTISEMENT