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.

---

Definitions:

Column Variable

A variable represented by a column in a dataset, where each entry in the column represents a value of the variable.

Degrees of Freedom

In statistics, it refers to the number of independent values or quantities which can be assigned to a statistical distribution, less the number of parameters estimated.

Chi-Square

A statistical test used to assess the differences between categorically grouped data by comparing the observed frequencies of groups with expected frequencies derived from a hypothesis.

Row Variable

A variable that constitutes the basis for organizing data in rows in a table or matrix, often used in cross-tabulation.