An Appliance Manufacturer Is Interested in Determining Whether the Brand

question 73

Short Answer

An appliance manufacturer is interested in determining whether the brand of laundry detergent used affects the average amount of dirt removed from standard household laundry loads. An experiment is set up in which 10 laundry loads are randomly assigned to each of four laundry detergents-Brands A, B, C, and D (a total of 40 loads in the experiment). The amount of dirt removed, y, (measured in milligrams) for each load is recorded and subjected to an ANOVA analysis, including a follow-up Tukey analysis. Which of the following inferences concerning the Tukey results below is incorrect? $\begin{array}{cc}\text { Brands } & \text { Sample Means } \\\hline \text { D } & 187 \\\text { C } & 179 \\\text { B } & 149 \\\text { A } & 132\end{array}$

A) $\mu_{\mathrm{C}}<\mu_{\mathrm{D}}$
B) $\mu_{\mathrm{A}}<\mu_{\mathrm{C}}$
C) $\mu \mathrm{D}>\mu_{\mathrm{A}}$
D) $\mu \mathrm{B}<\mu \mathrm{D}$

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

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Definitions:

Misleading Advertising

Advertising that deceives or is likely to deceive the consumer, often leading to an incorrect understanding or decision.

Competition Act

A law designed to preserve and promote competition and to protect consumers from anti-competitive practices by companies.

Money-back Guarantee

A pledge to refund a customer's payment if the product or service does not meet the advertised standards or expectations.

Abuse of Dominant Position

An anti-competitive business practice where a dominant firm uses its market power to exclude competitors or exploit consumers.