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

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 $\mu _ { 4 } ; \mu _ { 3 } < \mu _ { 4 }$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free