Find the critical values for a sample with $\mathrm { n } = 12 \text { and } \alpha = 0.01 \text { if } \mathrm { H } _ { 0 } : \mu = 20$
A) $\pm 3.106$
B) $\pm 2.201$
C)±1.796
D)±2.718

Question

Quizplus · Accepted Answer

For a two-tailed test with $\alpha = 0.01$ and $n = 12$, degrees of freedom ($df$) = $n - 1 = 11$. Looking up the critical value in a t-distribution table for $df = 11$ and $\alpha/2 = 0.005$ (since it's two-tailed), the closest value is $\pm 3.106$.

Find the Critical Values for a Sample With n=12 and α=0.01 if H0:μ=20\mathrm { n } = 12 \text { and } \alpha = 0.01 \text { if } \mathrm { H } _ { 0 } : \mu = 20n=12 and α=0.01 if H0​:μ=20

Find the Critical Values for a Sample With $\mathrm { n } = 12 \text { and } \alpha = 0.01 \text { if } \mathrm { H } _ { 0 } : \mu = 20$