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 $\alpha$ = 0.02. $$\begin{array} { c | c c c c c }
\mathrm { A } & 8 & 9.2 & 11.1 & 8.1 & 8.2 \
\hline \text { B } & 5.4 & 4.3 & 5.2 & 4.1 & 5.5
\end{array}$$
A) $\pm 3.747$
B) $\pm 4.604$
C)2.132
D)0.741

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 $\alpha$ = 0.02. $$\begin{array} { c | c c c c c } 
\mathrm { A } & 8 & 9.2 & 11.1 & 8.1 & 8.2 \
\hline \text { B } & 5.4 & 4.3 & 5.2 & 4.1 & 5.5
\end{array}$$
A) $\pm 3.747$
B) $\pm 4.604$
C)2.132
D)0.741

Quizplus · Accepted Answer

The critical value for a two-tailed test with $\alpha = 0.02$ and degrees of freedom (df) less than 30 (since sample size is small) is found using a t-distribution table or calculator. Given the samples are dependent and assuming df = n - 1 (where n is the number of pairs, here 5), the critical value for a very low $\alpha$ typically falls into a high t-score range, making $\pm 3.747$ the most plausible choice among the options provided.

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

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