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

question 23

Multiple Choice

Find the critical value, $t _ { 0 }$ to test the claim that $\mu _ { 1 } \neq \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that $\sigma \sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 } ^{ 2 } \text {. Use } \alpha = 0.02$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\\overline { \mathrm { x } } 1 = 3.9 & \overline { \mathrm { x } _ { 2 } } = 4.3 \\\mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 0.51\end{array}$$

• A) \(\pm 2.764\)
• B) \(\pm 0.684\)
• C) \(\pm 2.228\)
• D) \(\pm 3.169\)

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