Six Patients Were Each Given Four Different Pain Killers and Asked

question 28

Essay

Six patients were each given four different pain killers and asked to rate each pain killer's effectiveness in reducing pain on a scale of 1 to 10 . A Friedman $F _ { r }$ -test was performed on the results. A printout is shown below.
Friedman Test: Response versus Treatment blocked by Patient
$$\mathrm { S } = 18.00 \mathrm { DF } = 3 \mathrm { P } = 0.000$$
$\begin{array} { l r r r } \text { Treatment } & \mathrm { N } & \text { Est } & \text { Sum of } \\ 1 & 6 & 7.500 & 24.0 \\ 2 & 6 & 4.500 & 12.0 \\ 3 & 6 & 6.000 & 18.0 \\ 4 & 6 & 2.500 & 6.0 \end{array}$
Grand median $= 5.125$ Is there evidence that at least two of the treatment probability distributions differ in
location? Explain.

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Definitions:

Oligopolists

Firms operating in a market structure characterized by a small number of companies that have significant control over market prices and competition.

Monopolistic Competitors

Firms operating in a market structure where many companies sell products that are similar but not identical, allowing for competition on aspects other than just price.

Control Over Prices

The ability of a firm or government to dictate or influence the prices of goods and services in the market, often through regulation or monopoly power.

General Motors

An American multinational corporation headquartered in Detroit, Michigan, that designs, manufactures, markets, and distributes vehicles and vehicle parts.