For conducting a two-tailed hypothesis test with a certain data set, using the smaller of n1minus1 and n2minus1 for the degrees of freedom results in dfequals11, and the corresponding critical values are tequalsplus or minus2.201. using the formula for the exact degrees of freedom results in dfequals19.063, and the corresponding critical values are tequalsplus or minus2.093. how is using the critical values of tequalsplus or minus2.201 more "conservative" than using the critical values of plus or minus2.093?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?