An ANOVA Test Was Conducted to See Whether Bike Frame

question 41

Multiple Choice

An ANOVA test was conducted to see whether bike frame type (Type A, Type B, or Type C) had an effect on speed over a one mile distance. Test results warranted post-hoc procedures. The Tukey
HSD approach was used with the following results:
$\begin{array} { l l } \text { Group Comparison } & 98.33 \% \text { Confidence Interval } \\\text { Type A - Type B } & ( - 12.70 , - 4.29 ) \\\text { Type A - Type C } & ( - 19.63 , - 8.87 ) \\\text { Type B - Type C } & ( - 9.89 , - 1.61 ) \end{array}$
Is there evidence that one type of bike frame is faster than the others? Which type of frame appears
To be the fastest?

• A) No, there is not enough evidence to say with confidence that one frame type is faster than the others because none of the confidence intervals contain zero.
• B) Yes, the confidence interval results show that frame type A is the faster than B or C.
• C) Yes, the confidence interval results show that frame type B is the faster than A or C.
• D) Yes, the confidence interval results show that frame type C is the faster than A or B.

---

Definitions:

Contribution Margin

The amount remaining from sales revenue after variable expenses are deducted, indicating the potential profitability of products.

Net Operating Income

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

Variable Expense Ratio

A measurement that indicates the proportion of variable expenses to sales, showing how costs change with sales volume.

Break-even Point

The sales amount where the total income matches the total expenses, leading to neither profit nor loss for the company.