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

Answer

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Answer

Therefore, the critical value is $\boxed{\pm 2.861}$.

Steps

Step 1 ：Given that the test is two-tailed, the significance level $\alpha = 0.01$ is divided by 2. So, we have $\alpha/2 = 0.01/2 = 0.005$.

Step 2 ：We look up the value in the t-distribution table that corresponds to a tail probability of 0.005 and degrees of freedom $df = n - 1 = 20 - 1 = 19$.

Step 3 ：The critical value from the t-distribution table is approximately $\pm 2.861$.

Step 4 ：Therefore, the critical value is $\boxed{\pm 2.861}$.

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

Answer

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