Respuesta :
Answer:
We are assuming that we are conducting a two tailed test so then the significance level of [tex]\alpha=0.1[/tex] will be distributed in the tails of the distribution with [tex]\alpha/2 = 0.05[/tex]
And we need to find two critical values who accumulate 0.05 of the area on each tail of the F distribution with 10 degre
[tex]F_{\alpha/2}=0.311[/tex]
[tex]F_{1-\alpha/2}= 4.06[/tex]
Step-by-step explanation:
For this case we know that the sample size for the numerator is 11 and for the denominator is 7. So then we can find the degrees of freedom for each case like this:
[tex]df_{num}= 11-1=10[/tex]
[tex]df_{den}= 7-1=6[/tex]
And the F distribution for this case will have 10 degrees of freedom in the numerator and 6 in the denominator.
We are assuming that we are conducting a two tailed test so then the significance level of [tex]\alpha=0.1[/tex] will be distributed in the tails of the distribution with [tex]\alpha/2 = 0.05[/tex]
And we need to find two critical values who accumulate 0.05 of the area on each tail of the F distribution with 10 degrees of freedom for the numerator and 6 for the denominator and we got uing a table or excel:
[tex]F_{\alpha/2}=0.311[/tex]
[tex]F_{1-\alpha/2}= 4.06[/tex]
