Find the critical value. Assume that the test is two-tailed and that n denotes the number of pairs of data.
-$\mathrm { n } = 16 , \alpha = 0.01$
A) $- 0.635$
B) $\pm 0.635$
C) $\pm 0.503$
D) $0.635$

Question

Quizplus · Accepted Answer

For a two-tailed test with n = 16 pairs of data and $\alpha = 0.01$, the critical value is determined by the t-distribution with $n-1 = 15$ degrees of freedom. The critical t-value for $\alpha/2 = 0.005$ in each tail is approximately $\pm 2.947$, but the given options seem to be for a different context, possibly a correlation coefficient. The closest match for a correlation coefficient critical value at $\alpha = 0.01$ is $\pm 0.635$.

Find the Critical Value n=16,α=0.01\mathrm { n } = 16 , \alpha = 0.01n=16,α=0.01

Find the Critical Value $\mathrm { n } = 16 , \alpha = 0.01$