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

question 75

Multiple Choice

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 thereis no significant difference.

$\begin{array}{l}\left(\mu_{\mathrm{A}}-\mu_{\mathrm{B}}\right) :(17,35) \\\left(\mu_{\mathrm{A}}-\mu_{\mathrm{C}}\right) :(7,23) \\\left(\mu_{\mathrm{A}}-\mu_{\mathrm{D}}\right) :(2,22) \\\left(\mu_{\mathrm{B}}-\mu_{\mathrm{C}}\right) :(-17,-5) \\\left(\mu_{\mathrm{B}}-\mu_{\mathrm{D}}\right) :(-21,-7) \\\left(\mu_{\mathrm{C}}-\mu_{\mathrm{D}}\right) :(-10,4) \end{array}$

• A) \(\mathrm{Gn}>\mathrm{On} ? \mathrm{Gn}>\mathrm{gn} \subseteq \mathrm{On}>\mathrm{gn} ? \mathrm{Gn}<\mathrm{Vn} . \mathrm{On}<\mathrm{Vn} ? \mathrm{Gn}<\mathrm{Vn}\)
• B) \(\mu_{\mathrm{A}}>\mu_{\mathrm{B}} ; \mu_{\mathrm{A}}>\mu_{\mathrm{C}} ; \mu_{\mathrm{A}}>\mu_{\mathrm{D}} ; \mu_{\mathrm{B}}<\mu_{\mathrm{C}} ; \mu_{\mathrm{B}}<\mu_{\mathrm{D}} ; \text { no significant difference between } \mu_{\mathrm{C}} \text { and } \mu_{\mathrm{D}}\)
• C) \(\mu_{\mathrm{A}}<\mu_{\mathrm{B}} ; \mu_{\mathrm{A}}<\mu_{\mathrm{C}} ; \mu_{\mathrm{A}}<\mu_{\mathrm{D}} ; \mu_{\mathrm{B}}>\mu_{\mathrm{C}} ; \mu_{\mathrm{B}}>\mu_{\mathrm{D}} \text {; no significant difference between } \mu_{\mathrm{C}} \text { and } \mu_{\mathrm{D}}\)
• D) no significant difference between \( \mu_{\mathrm{A}} \) and \( \mu_{\mathrm{B}} ; \mu_{\mathrm{A}}<\mu_{\mathrm{C}} ; \mu_{\mathrm{A}}<\mu_{\mathrm{D}} ; \mu_{\mathrm{B}}>\mu_{\mathrm{C}} ; \mu_{\mathrm{B}}>\mu_{\mathrm{D}} \); no significant difference between \( \mu_{C} \) and \( \mu_{D} \)

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