$$\text { TABLE 11-11 }$$ A Student Team in a Business Statistics Course Designed an Business

question 58

Multiple Choice

$$\text { TABLE 11-11 }$$ 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 testing the block effects?

• A) H0 : MKyle = MSarah = MLeigh = MIsaac
• B) H0 : µKyle = µSarah = µLeigh = µIsaac
• C) H₀ : µ_A = µ_B = µ_C = µ_D D) H₀ : M_A = M_B = M_C = M_D

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Definitions:

Tympanic Ring

A bone or complex of bones in the ear, involved in the transmission of sound vibrations to the inner ear.

Eardrum

A thin membrane in the ear that vibrates in response to sound waves, playing a key role in hearing.

Stapes

A small stirrup-shaped bone in the middle ear, transmitting vibrations from the incus to the inner ear.

Convergent Evolution

The phenomenon where unrelated species develop comparable characteristics independently due to the necessity of adapting to analogous environments or ecological roles.