Find the Critical Values $\mathrm { t } _ { 0 } ,$

question 28

Multiple Choice

Find the critical values, $\mathrm { t } _ { 0 } ,$ to test the claim that $\mu _ { 1 } = \mu 2$ Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 } ^ { 2 } \text {. }$ Use $\alpha$ = 0.05. $$\begin{array} { l } \mathrm { n } _ { 1 } = 25 \\\overline { \mathrm { x } } 1 = 17 \\\mathrm {~s} _ { 1 } = 1.5\end{array}$$ $$\begin{array} { l } \mathrm { n } _ { 2 } = 30 \\\overline { \mathrm { x } _ { 2 } } = 15 \\\mathrm {~s} _ { 2 } = 1.9\end{array}$$

• A) \(\pm 2.064\)
• B) \(\pm 2.797\)
• C) \(\pm 1.711\)
• D)± \(\pm 2.492\)

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