What is the critical f value for a sample of six observations in the numerator and four in the denominator? use a two-tailed test and the 0.10 significance level

"=F.INV(0.025,5,3)"

"=F.INV(1-0.025,5,3)"

Step-by-step explanation:

Previous concepts

F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:

Where . On this case we need to find the degrees of freedom for the numerator and denominator like this:

Now for the critical value we are using a two tailed test so then we need to look on the F distribution with 5 degrees of freedom on the numerator and 3 on the denominator one critical value that accumulates 0.05 of the ara on the left tail and 0.05 of the area on the right tail. We can use the following excel codes:

"=F.INV(0.025,5,3)"

"=F.INV(1-0.025,5,3)"

And we have our critical values on this case.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.