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

question 30

True/False

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, the decision made at a 0.05 level of significance on the randomized block F
test for the difference in means implies that all 4 means are significantly different.

---

Definitions:

Situational Factors

External influences that can impact an individual's behavior or performance in various contexts.

Problem Variables

Elements or factors that can change and affect the outcome of a problem-solving or decision-making process.

Fiedler's Contingency Model

A leadership theory proposing that effective group performance depends on the proper match between a leader's style of interacting with followers and the degree to which the situation gives control and influence to the leader.

Situational Control

The ability to manage and influence the outcome of events based on an understanding and adaptation to the specific dynamic and context of a situation.