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

question 57

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 null hypothesis for the randomized block F test for the difference in the means should be rejected at a 0.05 level of significance.

---

Definitions:

Confounded

Confounded refers to a situation in research where the effect of one variable cannot be separated from the effect of another, making it difficult to determine the cause of any observed changes.

Experimental Method

A research method involving the manipulation of variables to establish cause-and-effect relationships.

Cause-And-Effect

The principle that suggests every event (cause) leads to a certain result (effect), underlining the relationships between actions and outcomes.

Natural Setting

A real-world environment where behavior and events occur spontaneously, outside of a controlled or laboratory setting.