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

question 81

Multiple Choice

Suppose you want to test the claim that $\mu _ { 1 } \neq \mu _ { 2 }$ TTwo samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma \underset { 1 } { 2 } \neq \sigma _ { 2 } ^{ 2 }$ At a
Level of significance of α $\alpha$ = 0.20, when should you reject H₀? $$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\\overline { \mathrm { x } }_ 1 = 2.9 & \overline { \mathrm { x } }_ 2 = 3.3 \\\mathrm {~s} _1 = 0.76 & \mathrm {~s}_ 2 = 0.51\end{array}$$

• A)Reject H₀ if the standardized test statistic is less than -1.372 or greater than 1.372.
• B)Reject H₀ if the standardized test statistic is less than -0.684 or greater than 0.684.
• C)Reject H₀ if the standardized test statistic is less than -2.228 or greater than 2.228.
• D)Reject H₀ if the standardized test statistic is less than -3.169 or greater than 3.169.

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