BigShots, Inc Using $\alpha$ = 005, the Appropriate Decision Is _____________ $\mu$

question 105

Multiple Choice

BigShots, Inc.is a specialty e-tailer that operates 87 catalog websites on the Internet.Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog websites to each design style.Analysis of Kevin's data yielded the following ANOVA table. $$\begin{array} { | l | r | r | l | l | } \hline \text { Source of Variation } & \text { SS } & \mathrm { df } & \mathrm { MS } & F \\\hline \text { Between Groups } & 68102.33 & 2 & 34051.17 & 17.50545 \\\hline \text { Within Groups } & 29177.67 & 15 & 1945.178 & \\\hline \text { Total } & 97280 & 17 & & \\\hline\end{array}$$ Using $\alpha$ = 0.05, the appropriate decision is _____________.

• A)inconclusive
• B)reject the null hypothesis \(\mu\) ₁ \(\neq\) \(\mu\) ₂ \(\neq\)\(\mu\) ₃
• C)reject the null hypothesis \(\mu\) ₁ =\(\mu\) ₂ = \(\mu\) ₃
• D)do not reject the null hypothesis\(\mu\) ₁ \(\ge\) \(\mu\) ₂ \(\ge\) \(\mu\) ₃
• E)do not reject the null hypothesis \(\mu\) ₁ \(\le\) \(\mu\) ₂\(\le\) \(\mu\) ₃

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Definitions:

Numeraire

A standard unit of account in economic modeling used to measure relative prices.

Spaghetti Consumption

The amount or rate at which individuals or populations eat spaghetti, often studied in terms of dietary habits or economic factors.

Utility Function

A mathematical representation that defines individual preferences for consumption bundles by assigning a utility value to each bundle.

Consumption

The action of using up a good or service, typically by households or individuals, affecting economic analyses of demand and spending behaviors.