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    Hypothesis Testing

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    A statistician claims that the average score on a standardized test of students who major in psychology is greater than the average of students who major in mathematics. The results of the test, given to 50 students in each group, are shown below. Is there enough evidence to support the statistician's claim at a 1% level of significance?

    psychology mathematics
    X1 = 118 X2 = 115
    s1 = 15 s2 = 15
    n1 = 50 n2 = 50

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    Solution Preview

    Define the null hypothesis H0:u1=u2;
    We can use the statistic T=(X1-X2)/S where S^2=S1^2/n1+S2^2/n2. We compute that S^2=2*15^2/50, ...

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