"Finding a Critical F-Value for a Right-Tailed Test In Exercis...

Question

"Finding a Critical F-Value for a Right-Tailed Test In Exercises 5–8, find the critical F-value for a right-tailed test using the level of significance α and degrees of freedom d.f.N and d.f.D.

α=0.025, d.f.N=7, d.f.D=3"

Accepted Answer

Be there. Today we're going to solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. Determine the critical F value for a right tail test if alpha equals 0.01, numerator degrees of freedom DFN equals 4, and denominator degrees of freedom, DFD equals 6. Awesome. So it appears for this particular problem, we're ultimately trying to determine what the critical F value is for this right tail test, given the values that are provided to us by the problem itself. So now that we know that we're ultimately trying to figure out what this critical F value is, let's read off our multiple choice answers to see what our final answer might be. A is 9.78, B is 5.99. C is 10.97 and D is 8.75. Awesome. So with that in mind, our first step that we need to take in order to solve this problem is we need to write down all of our known variables. So let us start with the level of significance. So we're told that the level of significance, which is denoted as alpha, is equal to 0.01. We're also told the numerator degrees of freedom, which is denoted as DFN in the Degrees of freedom for the numerator is equal to 4, whereas the degrees of freedom for the denominator or the denominator degrees of freedom, DFD for short, is equal to 6. Our second step now is we need to recall how to use a F distribution table, which I'll call F-T for short. So we need to recall how to use a F distribution table to help us determine, or rather, to find the critical value for a level of significance of 0.01, and when we're told that we have a numerator degrees of freedom of 4 and a Denominator degrees of freedom of 6. So using these three values we can use those in our F distribution table, which you should have one in your textbook or you could quickly look one up online. So using these pieces of information that are provided to us by the prom itself are The Third and final step is we could use our table to determine that the critical F value, which will denote as F subscript 0.01.46 will be equal to 9.78, and that is our final answer. Hooray, we did it. So looking at our multiple choice answers, the correct answer has to be multiple choice answer, letter A, which once again is 9.78. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

"Finding a Critical F-Value for a Right-Tailed Test In Exercises 5–8, find the critical F-value for a right-tailed test using the level of significance α and degrees of freedom d.f.N and d.f.D.

α=0.025, d.f.N=7, d.f.D=3"

Key Concepts

F-Distribution

Critical Value

Right-Tailed Test

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