Find the Standardized Test Statistic, T, to Test the Claim $\mu _ { 1 } \neq \mu _ { 2 } .$

question 44

Multiple Choice

Find the standardized test statistic, t, to test the claim that $\mu _ { 1 } \neq \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma \sigma _ { 1 } ^ { 2 } \neq \sigma _{ 2 }^ { 2 } .$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\\overline { \mathrm { x } } 1 = 6.9 & \overline { \mathrm { x } } 2 = 7.3 \\\mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 0.51\end{array}$$

• A)-1.546
• B)-1.821
• C)-2.123
• D)-1.326

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