Find the critical value, $t _ { 0 }$ to test the claim that $\mu _ { \mathrm { d } }$ = 0. Assume the samples are random and dependent, and the populations are normally distributed. Use $\alpha$ = 0.05. $$\begin{array} { c | l l l l l }
\text { A } & 19 & 17 & 36 & 32 & 20 \
\hline \text { B } & 17 & 13 & 14 & 24 & 11
\end{array}$$
A) $\pm 2.776$
B)2.132
C) $\pm 4.604$
D)3.747

Question

Find the critical value, $t _ { 0 }$ to test the claim that $\mu _ { \mathrm { d } }$ = 0. Assume the samples are random and dependent, and the populations are normally distributed. Use $\alpha$ = 0.05. $$\begin{array} { c | l l l l l } 
\text { A } & 19 & 17 & 36 & 32 & 20 \
\hline \text { B } & 17 & 13 & 14 & 24 & 11
\end{array}$$
A) $\pm 2.776$
B)2.132
C) $\pm 4.604$
D)3.747

Quizplus · Accepted Answer

To find the critical value $t_0$ for a dependent samples t-test (paired t-test), we first need to determine the degrees of freedom (df). The degrees of freedom for a paired t-test is $n - 1$, where $n$ is the number of pairs. Here, we have 5 pairs of data, so $df = 5 - 1 = 4$. For a two-tailed test with $\alpha = 0.05$ and $df = 4$, the critical value from the t-distribution table is $\pm 2.776$.

Find the Critical Value t0t _ { 0 }t0​ To Test the Claim That

Find the Critical Value $t _ { 0 }$ To Test the Claim That