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:

Very High

A term used to describe a value or level that significantly exceeds established norms or averages.

Very Low

Describes a quantitatively small, minimal, or significantly below average level or amount.

About Average

A term used to describe a value or performance that is near the middle or mean of a distribution or set of data.

Central Tendency

A statistical measure that identifies a single value as representative of the middle or centre of a distribution, commonly measured by mean, median, or mode.