TABLE 11-11
a Student Team in a Business Statistics Course

question 121

Short Answer

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow. To reduce the person-to-person variability, the students decided to use a randomized block design using themselves as blocks. Four brands of bubblegum were tested. A student chewed two pieces of a brand of gum and then blew a bubble, attempting to make it as big as possible. Another student measured the diameter of the bubble at its biggest point. The following table gives the diameters of the bubbles (in inches) for the 16 observations.
$$\begin{array}{l}\text { Brand of Bubblegum }\\\begin{array} { l c c c c } \hline \text { Student } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline \text { Kyle } & 8.75 & 9.50 & 8.50 & 11.50 \\\text { Sarah } & 9.50 & 4.00 & 8.50 & 11.00 \\\text { Leigh } & 9.25 & 5.50 & 7.50 & 7.50 \\\text { Isaac } & 9.50 & 8.50 & 7.50 & 7.50 \\\hline\end{array}\end{array}$$
-Referring to Table 11-11, what is the critical value of the randomized block F test for the difference in the means at a level of significance of 0.05?

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Definitions:

Monopoly

A market condition where a single company or entity exclusively controls a particular commodity or service, often leading to less competition and higher prices.

Public Regulation

The imposition of rules by the government aimed at influencing or controlling certain activities within the economy or society for the general welfare.

Natural Monopolists

Natural monopolists are entities that can provide a good or service at a lower cost than any potential competitor due to economies of scale, making a single provider more efficient than multiple competing ones.

Antitrust Suit

A legal action taken against companies to stop practices that restrain trade, maintain monopolies, or otherwise violate antitrust laws.