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

question 58

Short Answer

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.
-Referring to Table 11-11,what is the critical value for testing the block effects at a 0.05 level of significance?

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Definitions:

Statistical Methods

Techniques and procedures used for collecting, analyzing, interpreting, and presenting data.

Wilcoxon Rank Sum Test

A nonparametric statistical test used to compare two independent samples to determine if they come from the same distribution.

Independent Samples

Two or more sets of observations that are collected independently of each other, often compared in hypothesis testing to assess whether there are differences between groups.

Ordinal Data

A type of data that represents categories with a meaningful order, but differences between categories are not necessarily consistent.