Suppose You Want to Test the Claim That $\mu _ { 1 } = \mu _ { 2 }$

question 43

Multiple Choice

Suppose you want 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 $$\sigma { } _ { 1 } ^ { 2 } \neq \sigma _ { 2 } ^ { 2 }$$ At a
Level of significance of α $\alpha$ = 0.01, when should you reject H₀? $$\begin{array} { l l } \mathrm { n } _ { 1 } = 25 & \mathrm { n } _ { 2 } = 30 \\\overline { \mathrm { x } } 1 = 23 & \overline { \mathrm { x } } 2 = 21 \\\mathrm {~s} _ { 1 } = 1.5 & \mathrm {~s} _ { 2 } = 1.9\end{array}$$

• A)Reject H₀ if the standardized test statistic is less than -2.797 or greater than 2.797.
• B)Reject H₀ if the standardized test statistic is less than -2.789 or greater than 2.797.
• C)Reject H₀ if the standardized test statistic is less than -1.711 or greater than 1.711.
• D)Reject H₀ if the standardized test statistic is less than -2.492 or greater than 2.492.

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