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

question 99

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

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Definitions:

Shape

Describes the geometric or visual characteristics of an object or distribution, such as symmetry, skewness, or roundness.

Multinomial Experiment

An experiment consisting of a fixed number of trials where each trial has multiple possible outcomes.

Null Hypothesis

A statistical hypothesis that assumes no significant difference or effect exists within a set of given observations or parameters.

Level of Significance

The probability of rejecting the null hypothesis when it is actually true, typically denoted as alpha (α).