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

question 26

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. $$\begin{array} { l } \left( \mu _ { 1 } - \mu _ { 2 } \right) : ( 8,20 ) \\\left( \mu _ { 1 } - \mu _ { 3 } \right) : ( - 5,1 ) \\\left( \mu _ { 1 } - \mu _ { 4 } \right) : ( 12,18 ) \\\left( \mu _ { 2 } - \mu _ { 3 } \right) : ( - 22 , - 10 ) \\\left( \mu _ { 2 } - \mu _ { 4 } \right) : ( - 4,6 ) \\\left( \mu _ { 3 } - \mu _ { 4 } \right) : ( 12,22 ) \end{array}$$

• 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 \(\mu _ { 4 } ; \mu _ { 3 } < \mu _ { 4 }\)

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Definitions:

Asset's Life

The asset's life, or useful life, is the estimated period that an asset is expected to be usable for the purpose it was acquired, impacting its depreciation calculation.

Intracompany Comparisons

The analysis of a company's financial performance and trends over multiple periods, aiding in internal strategic decision-making.

Competitors

Other businesses that offer similar products or services in the same market as another business.