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

question 23

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 randomized block F test is valid only if there is no interaction between the diameters of the 4 brands of bubble gums and the 4 ability of the students.

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Definitions:

Red Algae

A diverse group of eukaryotic, photosynthetic algae, often found in marine environments, known for their reddish pigments.

Red Algal Ancestor

The ancient progenitor of current red algae species, suggesting a common lineage from which modern red algae have evolved.

Land Plants

Organisms that are part of the kingdom Plantae, characterized by their ability to perform photosynthesis and live predominantly on land.

Causal Organism

A pathogen or microorganism that causes disease or illness in its host.