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    Independent Sample t Test

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    Pooled-Variances t-Test for (µ1 - µ2), Population Variances Unknown but
    Assumed Equal

    t-Test: Two-Sample Assuming Equal Variances

    Format 1 Format 2
    Mean 6 8.166666667
    Variance 9.777777778 11.06060606
    Observations 10 12
    Pooled Variance 10.48333333
    Hypothesized Mean Difference 0
    df 20
    t Stat -1.562865798
    P(T<=t) one-tail 0.066884748
    t Critical one-tail 1.724718218
    P(T<=t) two-tail 0.133769496
    t Critical two-tail 2.085963441

    Format 1 Format 2
    11 10
    8 11
    8 9
    3 7
    7 2
    5 11
    9 12
    5 3
    1 6
    3 7
    8
    12

    See attached file - Pooled-Variances t-Test

    (11.1 - Module 7)

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    https://brainmass.com/statistics/students-t-test/independent-sample-t-test-341535

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    Answer

    The null hypothesis tested is

    H0: µ1= µ2

    The alternative hypothesis is

    H1: µ1≠ µ2

    The test statistic used is
    Where

    Rejection criteria: Reject the null hypothesis, if the calculated value of is greater than the critical value of t at the ...

    Solution Summary

    The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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