All right guys, so for this one, um First we need to start by identifying or null and alternative hypotheses are no hypothesis is that there is the same variants being male and female professors and alternative hypothesis that there's there's a difference between male and female professors when it comes to variation variants, I should say. Um So okay, so with that um with that, what the next thing we need to do is we need to go ahead and identify our f statistic. Um and that is going to be found by opening a google sheet, at least in my case I opened google sheet and I want to hand his input all the data from the table. Okay. In order to find our F test statistic first and put in the day to the next thing I did as I found the variance. Okay, it's by the V A R equals V A R in a cell and I highlighted the data. I wanted to find the variance in and I enter and then the variance for the second one was right there. I hit enter. Awesome. Okay, cool. So it looks like the variance for the few professors is much higher. So it looks like our female professors. Well BS one sq and our male friends will be S two squared because s one square it has a higher variance. So to find the F. Test statistic, I just need to divide the larger variants by the smaller variance and there it is 4.175 Very large F statistic right there. All right. So the next thing I need to do is this I need to calculate the p value in order to calculate the P value with an F statistic. You do need to have the F statistic, but we also need to find degrees of freedom for the data. So here's what I'm gonna do that in google sheets. Of course I could count manually. But if another way to do it is actually just do this do equals count and it will actually count all this stuff for you. Okay. But degrees of freedom isn't a direct count, degrees, freedom is account minus one. And so that's what I'm going to put and that's gonna be nine and this should be the same. But let's just check just in case count of that minus one and there we go. Nine. Okay. So for my p value, what I'm gonna do is I'm going to start an F. Distribution also known as F. Dist and open parentheses and idea input. Three values the first value, the F statistic and the second two values are the degrees of freedom. Close my parentheses do that and we get a fairly small, we get a very small p value right there. However, what we do need to do is this we're not quite done yet because this is a one tailed P value. What does that mean? That means this P value of work. If that is a less than or greater than symbol, It's a non equal simple, not equal, simple is a two. Uh is a two way distribution. Okay? Which means it's going to be twice as large as a one way, which means in order to get the correct value, I need to take this and multiply or asterisk in google sheets by two. And that is my p value right there. So this p value, they asked us to use 0.5 significance level. Is that less than 0.5 barely. But yes, that is less than 0.5 So there is sufficient evidence to reject the null hypothesis. So there is sufficient evidence to reject the null hypothesis.