A multiple-comparison procedure for comparing four treatment means produced the confidence intervals shown below. For each pair of means, indicate which mean is larger or indicate that there Is no significant difference. $$\begin{array} { l } \left( \mu _ { 1 } - \mu _ { 2 } \right) : ( 8,20 ) \ \left( \mu _ { 1 } - \mu _ { 3 } \right) : ( - 5,1 ) \ \left( \mu _ { 1 } - \mu _ { 4 } \right) : ( 12,18 ) \ \left( \mu _ { 2 } - \mu _ { 3 } \right) : ( - 22 , - 10 ) \ \left( \mu _ { 2 } - \mu _ { 4 } \right) : ( - 4,6 ) \ \left( \mu _ { 3 } - \mu _ { 4 } \right) : ( 12,22 ) \end{array}$$ A) no significant difference between $\mu _ { 1 }$ and $\mu _ { 2 }$; no significant difference between $\mu _ { 1 }$ and $\mu _ { 3 }$; $\mu _ { 1 } \mu _ { 4 } ; \mu _ { 2 } \mu _ { 4 }$ B) $\mu _ { 1 } \mu _ { 2 } ; \mu _ { 1 } \mu _ { 4 } ; \mu _ { 2 } \mu _ { 2 }$; no significant difference between $\mu _ { 1 }$ and $\mu _ { 3 } ; \mu _ { 1 } \mu _ { 4 } ; \mu _ { 2 } \mu _ { 4 }$ D) $\mu _ { 1 }

Question

A multiple-comparison procedure for comparing four treatment means produced the confidence intervals shown below. For each pair of means, indicate which mean is larger or indicate that there Is no significant difference. $$\begin{array} { l } \left( \mu _ { 1 } - \mu _ { 2 } \right) : ( 8,20 ) \ \left( \mu _ { 1 } - \mu _ { 3 } \right) : ( - 5,1 ) \ \left( \mu _ { 1 } - \mu _ { 4 } \right) : ( 12,18 ) \ \left( \mu _ { 2 } - \mu _ { 3 } \right) : ( - 22 , - 10 ) \ \left( \mu _ { 2 } - \mu _ { 4 } \right) : ( - 4,6 ) \ \left( \mu _ { 3 } - \mu _ { 4 } \right) : ( 12,22 ) \end{array}$$ A) no significant difference between $\mu _ { 1 }$ and $\mu _ { 2 }$; no significant difference between $\mu _ { 1 }$ and $\mu _ { 3 }$; $\mu _ { 1 } > \mu _ { 4 } ; \mu _ { 2 } < \mu _ { 3 } ;$ no significant difference between $\mu _ { 2 }$ and $\mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }$ B) $\mu _ { 1 } > \mu _ { 2 } ; \mu _ { 1 } < \mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 } ; \mu _ { 2 } < \mu _ { 3 } ; \mu _ { 2 } < \mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }$ C) $\mu _ { 1 } > \mu _ { 2 }$; no significant difference between $\mu _ { 1 }$ and $\mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 } ; \mu _ { 2 } < \mu _ { 3 } ;$ no significant difference between $\mu _ { 2 }$ and $\mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }$ D) $\mu _ { 1 } < \mu _ { 2 }$; no significant difference between $\mu _ { 1 }$ and $\mu _ { 3 } ; \mu _ { 1 } < \mu _ { 4 } ; \mu _ { 2 } > \mu _ { 3 }$; no significant difference between $\mu _ { 2 }$ and $\mu _ { 4 } ; \mu _ { 3 } < \mu _ { 4 }$

Quizplus · Accepted Answer

- For $(\mu_1 - \mu_2)$, the interval (8, 20) does not include 0, indicating $\mu_1 > \mu_2$.- For $(\mu_1 - \mu_3)$, the interval (-5, 1) includes 0, indicating no significant difference between $\mu_1$ and $\mu_3$.- For $(\mu_1 - \mu_4)$, the interval (12, 18) does not include 0, indicating $\mu_1 > \mu_4$.- For $(\mu_2 - \mu_3)$, the interval (-22, -10) does not include 0, indicating $\mu_2 < \mu_3$.- For $(\mu_2 - \mu_4)$, the interval (-4, 6) includes 0, indicating no significant difference between $\mu_2$ and $\mu_4$.- For $(\mu_3 - \mu_4)$, the interval (12, 22) does not include 0, indicating $\mu_3 > \mu_4$.

A Multiple-Comparison Procedure for Comparing Four Treatment Means Produced the Confidence