An F-Test with 13 Degrees of Freedom in the Numerator $H _ { 0 } : \sigma _ { 1 } = \sigma _ { 2 } \text { versus } H _ { 1 } : \sigma _ { 1 } < \sigma _ { 2 } .$

question 10

True/False

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 $H _ { 0 } : \sigma _ { 1 } = \sigma _ { 2 } \text { versus } H _ { 1 } : \sigma _ { 1 } < \sigma _ { 2 } .$
Do you reject $H _ { 0 }$ at the $\alpha = 0.05$ level?

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Definitions:

Oligopoly

A market structure characterized by a small number of firms that control the majority of the market share, leading to limited competition.

Prisoner's Dilemma

A scenario in game theory in which two individuals acting in their own self-interest do not produce the optimal outcome.

Nash Equilibrium

A concept in game theory where each player's strategy is optimal, given the strategies of the other players, and no player has an incentive to deviate unilaterally.

Oligopoly

A market structure characterized by a few companies dominating the market, often leading to limited competition and higher prices for consumers.