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

question 76

True/False

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.
-True or False: Referring to Table 11-11,the randomized block F test is valid only if the population of diameters is normally distributed for the 4 brands.

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Definitions:

Quantifier Negation

A logical operation that reverses the scope of a quantifier in a statement, changing its overall truth value.

Existential Generalization

A logical operation that infers the existence of at least one individual meeting a specified condition from a statement concerning that individual.

Existential Instantiation

A rule of inference used in logic to deduce that there exists at least one instance of a particular property.

Symbolize

Means to represent or stand for something else, especially an idea, quality, or concept, using symbols, objects, or signs.