Find the t -value(s) for each of the following cases. Round your answers to 3 de

ID: 3335665 • Letter: F

Question

Find the t -value(s) for each of the following cases. Round your answers to 3 decimal places. Enter negative values as negative number.

a. Upper tail area of .025 with 15 degrees of freedom is .

b. Lower tail area of .05 with 55 degrees of freedom is .

c. Upper tail area of .20 with 35 degrees of freedom is .

d. Where 98% of the area falls between these two t-values with 20 egrees of freedom.

_______,__________

e. Where 95% of the area falls between these two t -values with 40 degrees of freedom.

________ ,________

a) For 15 degrees of freedom, we get from the t-distribution tables that:

P( t15 > 2.131 ) = 0.025

Therefore 2.131 is the required t-value here.

b) For 55 degrees of freedom, we get from the t-distribution tables that:

P( t55 < -1.673) = 0.05

Therefore -1.673 is the required t-value here.

c) For 35 degrees of freedom, we get:

P( t35 > 0.852) = 0.2

Therefore 0.852 is the required t-value here.

d) For 20 degrees of freedom, we get from the t-distribution tables that:

P( t20 < 2.528) = 0.99

Therefore, due to symmetry we get: P( -2.528 < t20 < 2.528) = 0.98

Therefore 2.528 is the required t-value here.

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