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9 November, 08:38

Calculate the difference scores for the following data from a repeated measures study. Conduct a repeated measures t-test at aplha=.05 to find whether there was a change in scores. Subject A:Pre test score=34 post test score=39. Subject B:pre test score=41, post test score=48. Subject C:pre test score=38, post test score=35. Subject D: pre test score=29, post test score=36

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  1. 9 November, 08:51
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    There is no difference as per statistical evidence.

    Step-by-step explanation:

    We calculate t statistic from the formula

    t = difference in means/Std error of difference

    Here n1 = n2

    t = (x bar - y bar) / sq rt of s1^2+s2^2

    Let treatment I = X = 34 41 38 29

    Treatment II Y = 39 48 35 36

    X Y

    Mean 35.50 39.50

    Variance 81.00 105.00

    H0: x bar = y bar

    Ha: x bar not equal to y bar

    (Two tailed test at 0.05 significant level)

    N1 = 4 and N2 = 4

    df=N1+N2-2 = 6

    s1^2 = 81/3 = 27 and s2^2 = 105/3 = 35

    Std error for difference =

    t = - 1.02

    p = 0.348834

    p>0.05

    Since p value >alpha we accept null hypothesis.

    Hence there is statistical evidence to show that there is no difference in the mean level of scores.
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