Question

Is this statement true or false? and explain why. The value of t0.10 with 5 degrees...

Is this statement true or false? and explain why.

The value of t0.10 with 5 degrees of freedom is greater than the value of t0.10 with 10 degrees of freedom.

true, since t0.10 with 5 d.f. = 2.015 > t0.10 with 10 d.f. = 1.812

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Answer #1

At level of significance = 0.1 and degrees of freedom = 5,

The critical value is ti=0.9,5 = 0.05,5 = 2.015 (using R software and command : qt(0.95, 5) )

At level of significance = 0.1 and degrees of freedom = 10,

The critical value is t-0.9 10 =0.05, 10 =1.812

ans-> TRUE

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