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

question 60

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 decision made at a 0.05 level of significance on the F test for the block effects implies that the blocking has been advantageous in reducing the experiment error.

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Definitions:

SSE

Sum of Squared Errors, a measure used in statistics to quantify the discrepancy between the observed and model-predicted values.

Sum Of Squares

In statistics, the sum of squares is a measure used to quantify the variation or dispersion of a set of numbers.

Independent Variables

Variables in an experiment or model that are manipulated or classified by the researcher to observe their effect on the dependent variable.

Standardized Residual

The value obtained by dividing a residual by its standard deviation.