What is the critical F value when the sample size for the numerator is eleven and the sample size for the denominator is seven? Use a two-tailed test and the 0.10 significance level

We are assuming that we are conducting a two tailed test so then the significance level of will be distributed in the tails of the distribution with

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

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:

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 will be distributed in the tails of the distribution with

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:

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.