Determine Whether the System Is Consistent A) Yes
B) No

question 48

Multiple Choice

Determine whether the system is consistent.
- $$\begin{array} { l } 5 x _ { 1 } + 2 x _ { 2 } + x _ { 3 } = - 11 \\2 x _ { 1 } - 3 x _ { 2 } - x _ { 3 } = 17 \\7 x _ { 1 } - x _ { 2 } = 12\end{array}$$

• A) Yes
• B) No

---

Definitions:

F Test Statistic

Used in analysis of variance (ANOVA) to compare the variances of two populations, based on sample data.

F-Test

A statistical test used to compare the variances of two populations and determine if they are significantly different.

Randomized Block Design

An experimental design in which units are blocked into groups sharing similar characteristics to reduce variability, with each block then randomly assigned to treatments.

Independent Samples Design

An experimental design where separate groups are independently assigned to different treatments, with no member belonging to more than one group.