Each Side of a Standard Six-Sided Die Should Appear Approximately $$\frac { 1 } { 6 }$$

question 41

Multiple Choice

Each side of a standard six-sided die should appear approximately $$\frac { 1 } { 6 }$$ oof the time when the die is rolled. A player suspects that a certain die is loaded. The suspected die is rolled 90 times. The results are shown below.
Calculate the chi-square test statistic χ $$x ^ { 2 }$$ to test the playerʹs claim. $$\begin{array} { l | c c c c c c } \text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Frequency } & 15 & 12 & 16 & 19 & 17 & 11\end{array}$$

• A)3.067
• B)2.143
• C)5.013
• D)4.312

---

Definitions:

Monthly Sales

The total revenue generated from sales activities within a specific month.

Net Operating Income

A measure of a company's profitability from its regular business operations, excluding revenues and expenses from non-operating activities.

Margin of Safety Percentage

A financial metric indicating the difference between actual or forecasted sales and sales at the break-even point, expressed as a percentage of total sales.

Degree of Operating Leverage

A measure that quantifies the percentage change in a company's operating income resulting from a percentage change in its sales volume.