An $F$ -Test with 10 Degrees of Freedom in the Numerator and Numerator

question 17

True/False

An $F$ -test with 10 degrees of freedom in the numerator and 5 degrees of freedom in the denominator produced a test statistic whose value was $10.07$ . 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 $\alpha = 0.01$ level?

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Definitions:

Monopolistically Competitive

A market structure featuring many firms selling products that are similar but not identical, allowing for some degree of market power and price setting.

Long Run

A period in economics during which all factors of production and costs are variable, allowing firms to adjust all inputs.

Deli

A short form for delicatessen, which is a store or counter specializing in prepared foods, sandwiches, and specialty groceries.

Zero Economic Profits

A condition in perfect competition where firms earn just enough revenue to cover their total costs, leading to no supernormal profit in the long term.