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

question 57

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. $$\begin{array} { l } \left( \mu _ { 1 } - \mu _ { 2 } \right) : ( 8,20 ) \\\left( \mu _ { 1 } - \mu _ { 3 } \right) : ( - 7,3 ) \\\left( \mu _ { 1 } - \mu _ { 4 } \right) : ( 9,21 ) \\\left( \mu _ { 2 } - \mu _ { 3 } \right) : ( - 21 , - 11 ) \\\left( \mu _ { 2 } - \mu _ { 4 } \right) : ( - 5,7 ) \\\left( \mu _ { 3 } - \mu _ { 4 } \right) : ( 12,22 ) \end{array}$$

• A) \(\mu _ { 1 } > \mu _ { 2 }\); no significant difference between \(\mu _ { 1 }\) and \(\mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 } ; \mu _ { 2 } < \mu _ { 3 }\); no significant difference between \(\mu _ { 2 }\) and \(\mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }\)
• B) 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 \(\mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }\)
• 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) \(\mu _ { 1 } > \mu _ { 2 } ; \mu _ { 1 } < \mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 } ; \mu _ { 2 } < \mu _ { 3 } ; \mu _ { 2 } < \mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }\)

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Definitions:

Monopolist

A single seller in a market who has significant control over the supply of a particular product or service and can exert considerable influence over the market price.

Marginal Cost Price

The cost incurred from producing an additional unit of a product or service.

Perfect Price Discrimination

A pricing strategy where a seller charges the maximum possible price for each unit, tailored to each consumer's willingness to pay, capturing all consumer surplus.

Output

The amount of goods or services produced by a company, industry, or economy.