SCENARIO 11-12 a Student Team in a Business Statistics Course Designed an Designed

question 24

Short Answer

SCENARIO 11-12
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.
-Referring to Scenario 11-12, 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:

Lesser Antilles

A group of islands in the Caribbean Sea, forming part of the boundary between the Caribbean Sea and the Atlantic Ocean, located on the eastern edge of the Caribbean plate.

Transform Faults

Boundaries between tectonic plates where the motion is predominantly horizontal, leading to earthquakes but not creating volcanoes.

Gulf of Mexico

A large ocean basin near the southeastern coast of North America, bounded by the United States, Mexico, and Cuba, known for its rich biodiversity and significant oil reserves.

Narrow Ocean

A relatively thin and elongated body of oceanic water situated between more substantial land masses.