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

question 180

Essay

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 are the degrees of freedom of the F test statistic for testing the
block effects?

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Definitions:

Upward Mobility

The ability or opportunity for an individual or group to improve their social status, often through education or employment.

National Student Body

A national student body is an organization or collective that represents the interests and welfare of students across a nation, often advocating for educational policies and student rights.

Middle-Class

A social group between the working class and upper class, typically characterized by moderate to high income levels, educational attainment, and white-collar occupations.

Social Class

Categories of individuals within a society differentiated by factors such as wealth, occupation, and social status, often influencing their opportunities and privileges.