Suppose That Bob, Carol, and Ted View a Cake as Shown

question 56

Essay

Suppose that Bob, Carol, and Ted view a cake as shown below: Assume that each player regards a piece as acceptable if and only if it is at least five square units of value. Assume all cuts are vertical. Provide a total of three drawings to show how each player views a division of the cake, by Bob, into three pieces he or she considers to be the same size or value.

---

Definitions:

Wilcoxon Signed Rank Test

A non-parametric statistical test that compares two related samples or repeated measurements on a single sample to assess whether their population mean ranks differ.

Test Statistic

A calculated value that is used in statistical testing to decide whether to reject the null hypothesis, based on the possible values it can take in relation to a theoretical distribution.

Rank Sums

A statistic used in non-parametric tests that involves summing the ranks of observations in samples.

Standardized Test Statistic

A calculated value from sample data that has been transformed to conform to a standard scale, used in hypothesis testing to determine how far a sample statistic differs from what is expected under the null hypothesis.