Solve the Problem $\mathrm { F } _ { \mathrm { R } }$

question 68

Multiple Choice

Solve the problem.
-When performing a hypothesis test for the ratio of two population variances, the upper critical F value is denoted $\mathrm { F } _ { \mathrm { R } }$ . The lower critical $\mathrm { F }$ value, $\mathrm { F } _ { \mathrm { L } }$ , can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting $\mathrm { F }$ value found in table $\mathrm { A } - 5 . \mathrm { F } _ { \mathrm { R } }$ can be denoted $\mathrm { F } _ { \alpha / 2 }$ and $\mathrm { F } _ { \mathrm { L } }$ can be denoted $\mathrm { F } _ { 1 } - \alpha / 2$
Find the critical values $\mathrm { F } _ { \mathrm { L } }$ and $\mathrm { F } _ { \mathrm { R } }$ for a two-tailed hypothesis test based on the following values:
$$\mathrm { n } _ { 1 } = 25 , \mathrm { n } _ { 2 } = 16 , \alpha = 0.10$$

• A) \(0.4745,2.2878\)
• B) \(0.5327,2.2878\)
• C) \(0.7351,2.2378\)
• D) \(0.4745,2.4371\)

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Definitions:

Retinal Disparity

The slight difference in visual perception that comes from the images projected on the retinae of the eyes, which is a cue to depth perception.

Depth Perception

The ability to perceive the world in three dimensions and judge the distance of an object.

Convergence

The process or state of converging, in various contexts such as the meeting of two or more lines or paths at a point, or the evolution of similar features in independent species.

Parallel Processing

The ability of the brain to simultaneously process incoming stimuli of differing quality, a key feature of neural network functioning.