A psychologist decided to study whether rocking babies in a mechanical baby rocker would affect weight gain.  To test this, 8  premature babies at a local hospital were selected to participate in the experiment.  The babies were rocked for 10 minutes a day for a week and then weighed.  Then the same babies were rocked for 30 minutes a day for a week and then weighed.  The change in their weight across the week was measured in ounces.  The data and analyses of the t-test, are given below.

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A psychologist decided to study whether rocking babies in a mechanical baby rocker would affect weight gain.  To test this, 8  premature babies at a local hospital were selected to participate in the experiment.  The babies were rocked for 10 minutes a day for a week and then weighed.  Then the same babies were rocked for 30 minutes a day for a week and then weighed.  The change in their weight across the week was measured in ounces.  The data and analyses of the t-test, are given below.

Note that the difference scores are analyzed as 30-Min minus 10-Min. 

        Baby    Rocked 30 Min   Rocked 10 Min    D = 30 – 10        D2
        1              27.6                 29.7                           -2.1                4.41
        2              25.4                 28.5                           -3.1                9.61
        3              30.5                 39.8                           -9.3                86.49
        4              33.8                 38.8                           -5.0                25
        5              24.5                 25.0                           -0.5                .25
        6              16.4                 22.6                           -6.2                38.44
        7              19.8                 24.7                           -4.9                24.01
        8              23.8                 26.9                           -3.1                9.61

                                       

       Σ D = -34.2              Σ D2 = 197.82

       D-bar = -4.275

What is the observed value of the test statistic?

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