Increase the power of a test
When sample data actually occur in pairs, an advantage of a paired t-test is that it tends to increase the power of a test (as compared to treating each sample independently).
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A pulley having a rotational inertia of 1.0x10^4 g/cm^2 and a radius of 10 cm is acted upon by a force applied tangentially at its rim that varies in time as F=0.50t + 0.3t^2, where F is in Newton's and t is in seconds. If the pulley was initially
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