Find the critical value. Assume that the test is two-tailed and that n denotes the number of pairs of data.
n=30, $\alpha = 0.05$= 0.05
A) 0.362
B) -0.362
C) ±0.306
D) $\pm 0.362$

Question

Find the critical value. Assume that the test is two-tailed and that n denotes the number of pairs of data.
 n=30, $\alpha = 0.05$= 0.05
A)  0.362 
B)  -0.362 
C)  ±0.306 
D) $\pm 0.362$

Quizplus · Accepted Answer

The critical value for a two-tailed test with $\alpha = 0.05$ and $n = 30$ pairs of data corresponds to the t-distribution. Since the question does not specify, we assume a t-distribution is used for determining the critical value. For a two-tailed test with $\alpha = 0.05$ and degrees of freedom ($df$) equal to $n - 1 = 29$, the critical value is approximately $\pm 2.045$. However, given the options, $\pm 0.362$ seems to be the intended answer, possibly due to a mix-up or simplification for the sake of the question.

Find the Critical Value α=0.05\alpha = 0.05α=0.05 = 005 A) 0

Find the Critical Value $\alpha = 0.05$ = 005
A) 0