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

question 16

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 there
Is no significant difference. $\begin{array}{l}\left(\mu_{A}-\mu_{B}\right) :(18,34) \\\left(\mu_{A}-\mu_{C}\right) :(7,23) \\\left(\mu_{A}-\mu_{D}\right) :(6,18) \\\left(\mu_{B}-\mu_{C}\right) :(-17,-5) \\\left(\mu_{B}-\mu_{D}\right) :(-22,-6) \\\left(\mu_{C}-\mu_{D}\right) :(-13,7) \end{array}$

• A) \(\mu_{\mathrm{A}}>\mu_{\mathrm{B}} ; \mu_{\mathrm{A}}>\mu_{\mathrm{C}} ; \mu_{\mathrm{A}}>\mu_{\mathrm{D}} ; \mu_{\mathrm{B}}<\mu_{\mathrm{C}} ; \mu_{\mathrm{B}}<\mu_{\mathrm{D}} ; \mu_{\mathrm{C}}<\mu_{\mathrm{D}}\)
• 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 \( \mu_{\mathrm{C}} \) and \( \mu \mathrm{D} \)

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Definitions:

Fine Motor Control

The coordination of small muscles, in movements—usually involving the synchronization of hands and fingers—with the eyes.

Basal Ganglia

A group of structures in the brain involved in movement control and coordination.

Medulla Oblongata

The lower portion of the brainstem, which regulates vital bodily functions such as breathing, heart rate, and blood pressure.

Prefrontal Lobe

A region at the front of the frontal lobes of the brain, associated with complex behaviors, decision making, and moderating social behavior.