To start this problem. The first step we need to do as we need to do something that is called the T. Test or a T statistic. That's what we're finding a T statistic. The reason why is because in order to find the p value or the significance of the test, we need to have this number. So that's where we're going to start. So to do a T. Test, there's several different equations of how to get there. I'm gonna write both down so you can use whichever one you want, but we're only going to use one. So this is one option right here, it's more of a street forward option because you just kind of get T as your answer. Remember this is the E. Right? Right here, the symbol and the symbol of E represents the sum like this and then this and over that's a bad line for the second. There we are. That's right. Um This is just a little bit bulky for my liking so I don't really do this one as much, but this is one option, like I was saying, another way that this can be performed is how we're going to do it, or how I'm going to do it. So when a bar X one minus export to over square root, remember this symbol is the standard deviation for a population over and one loss this continues right here, deviation, swear it again. But for the second, the second one over until. So that's what we're gonna use right now. And when we use that, we know there are numbers right? Um given numbers we have for regular exercise, I'll draw over here just so it's easier to see this is where regular exercise, the end we had was 40. Um for none, none for no regular exercise was 30. This is Bar X. This is gonna be um we're gonna represent regular exercise at bar X. 1 63. And then marks to which would be this number would be 71 mm like this. And okay, so this is the table that we were basically given. So now with this we can simply put things in, we have the expo we have X. To have the center deviations and we can kind of figure that out pretty nicely. So once you solve and put everything in it will look something like this 63 minus 71 over one. My ex 40 plus 1.44 over 30. And that is going to give us our t. Test um statistic which is around negative 29.61 We're going around that, it's really 609 but we just can round right there. So this is our key test answer, but that's not exactly and what they're asking for fully. So that's the relevant test of the hypothesis. But we're using this now this is the relevant test, their part A but now we need to convert that into the significance of the test. And in order to do that we need a P. Value. So I was right here baby. The p value. If you look on any chart for T. Tests and P values you can kind of match it up and see that 29.61 for a T. Test will give you a p value of zero point 0001 So that's our P value. So now that we know the p value we can answer part beat up asking to compute you observe significance of the test. This tells us the significance of the test. How because the p value is less than 0.1 So that means that we reject the null hypothesis at a 1% level of significance is what they asked for, um In addition, this also means that the sufficient evidence, there is sufficient evidence. There is sufficient evidence, um to indicate that the resting rate, um and men aged from the 18 to 25 who exercise regularly over here is more than five ft per minute, less than men who don't exercise regularly. So this is the significance of the test right here.