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

question 132

Multiple Choice

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 null hypothesis for the randomized block F test for the difference in the means?

• A) H0 : µKyle = µSarah = µLeigh = µIsaac
• B) H0 : MA = MB = MC = MD
• C) ^H0 ^{: µ}A ^{= µ}B ^{= µ}C ^{= µ}D
• D) ^H0 ^{: M}Kyle ^{= M}Sarah ^{= M}Leigh ^{= M}Isaac

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Definitions:

Weight

A measurement or quantity indicating how heavy an object is, often measured in units such as kilograms, pounds, or tons.

Fat

Fat is a macronutrient composed of fatty acids, essential for energy storage, hormone production, and protecting vital organs in the body.

Calories

Units of energy that food provides, commonly used to quantify the energy intake from consuming food and beverages.

Correlation

An index measuring the degree of association between two or more variables.