Find the critical value. Assume that the test is two -tailed and that n denotes the number of pairs of data. $n = 20 , \quad \alpha = 0.01$
A) -0.570
B) 0.570
C) $\pm 0.447$
D) $\pm 0.570$

Question

Find the critical value. Assume that the test is two -tailed and that  n  denotes the number of pairs of data. $n = 20 , \quad \alpha = 0.01$
A)  -0.570 
B)  0.570 
C) $\pm 0.447$
D) $\pm 0.570$

Quizplus · Accepted Answer

The critical value for a two-tailed test with $n = 20$ pairs and $\alpha = 0.01$ can be found using a t-distribution table or calculator. Since $n = 20$, the degrees of freedom ($df$) is $n - 1 = 19$. For a two-tailed test with $\alpha = 0.01$, the critical value is approximately $\pm 0.570$, corresponding to the tails of the distribution where the total area in both tails equals 0.01.

Find the Critical Value n=20,α=0.01n = 20 , \quad \alpha = 0.01n=20,α=0.01

Find the Critical Value $n = 20 , \quad \alpha = 0.01$