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.

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

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 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} $

Quizplus · Accepted Answer

The confidence intervals do not contain 0, indicating a significant difference between the means. The intervals are all positive for the comparisons involving $\mu_{\mathrm{A}}$, indicating that $\mu_{\mathrm{A}}$ is larger than the other means. The intervals are all negative for the comparisons involving $\mu_{\mathrm{B}}$, indicating that $\mu_{\mathrm{B}}$ is smaller than the other means. The interval for the comparison involving $\mu_{\mathrm{C}}$ and $\mu_{\mathrm{D}}$ contains 0, indicating that there is no significant difference between these means.

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