When Performing a Hypothesis Test for the Ratio of Two $F$

question 50

Multiple Choice

When performing a hypothesis test for the ratio of two population variances, the upper critical $F$ value is denoted $F _ { R }$ . The lower critical $F$ value, $F _ { L }$ , can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting $F$ value found in Table A-5. $F _ { R }$ can be denoted $F _ { \alpha / 2 }$ and $F _ { L }$ can be denoted $F _ { 1 - \alpha / 2 }$ .
Find the critical values $F _ { L }$ and $F _ { R }$ for a two-tailed hypothesis test based on the following values: $n _ { 1 } = 9 , n _ { 2 } - 7 , \alpha = 0.05$

• A) \(0.2150,5.5996\)
• B) \(0.2150,4.8232\)
• C) \(0.3931,4.1468\)
• D) \(0.2411,4.1468\)

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Definitions:

Partial Reinforcement Schedule

A learning process in which a response is reinforced only a portion of the time, leading to stronger behavioral persistence.

Continuous Punishment Schedule

A disciplinary strategy where every instance of unwanted behavior is punished.

Social Learning Theory

A theory in psychology that states behavior is learned from the environment through the process of observational learning.

Operant Conditioning

A learning process where the likelihood of a behavior's occurrence is increased or decreased through reinforcement or punishment.