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

question 87

Multiple Choice

Find the standardized test statistic, t, to test the claim that $\mu _ { 1 } < \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 15 & \mathrm { n } _ { 2 } = 15 \\\overline { \mathrm { x } } 1 = 21.2 & \overline { \mathrm { x } } 2 = 23.75 \\\mathrm {~s} _ { 1 } = 2.9 & \mathrm {~s} _ { 2 } = 2.8\end{array}$$

• A)-2.450
• B)-3.165
• C)-1.667
• D)-0.669

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Increase at a rate proportional to the current value, resulting in the growth accelerating over time.

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