An $F$ -Test with 13 Degrees of Freedom in the Numerator and Numerator

question 95

Multiple Choice

An $F$ -test with 13 degrees of freedom in the numerator and 9 degrees of freedom in the denominator produced a test statistic whose value was $3.36$ . The null and alternate hypotheses were $H _ { 0 } : \sigma _ { 1 } = \sigma _ { 2 }$ versus $H _ { 1 } : \sigma _ { 1 } < \sigma _ { 2 }$ .
Do you reject $H _ { 0 }$ at the $\alpha = 0.05$ level?

• A) Yes
• B) No

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Definitions:

Transformation

A thorough or dramatic change in form or appearance.

Isobutylbenzene

An organic compound made up of a benzene ring attached to an isobutyl group, used in the manufacture of other chemicals.

Benzene

A carcinogenic aromatic hydrocarbon with a ring of six carbon atoms, used as a starting material in the manufacture of many chemicals.

Organic Product

A molecule or compound produced from organic precursors, often through reactions involving carbon-based molecules.