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 }

Question

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

Quizplus · Accepted Answer

The p-value for this test is 0.022, which is less than 0.05, so we reject $H_0$.

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

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