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

question 43

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 value of the test statistic for the randomized block F
test for the difference in the means?

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Definitions:

Minimum Quantities

The smallest amount or number of items that can be produced, ordered, or maintained to ensure efficiency.

Profit Margins

A financial metric that measures the percentage of profit a company retains from its total revenue after subtracting the cost of goods sold and other expenses.

Maximum Amounts

Maximum Amounts refer to the highest possible quantities or levels that are permissible or achievable under certain conditions.

Slack

The amount of time a project task can be delayed without causing a delay to subsequent tasks or the entire project.