So we're going to assume that for these non smokers, that those people who are exposed to second hand smoke, I have going to have equal lovers of Kolkata Ning, uh uh as those who are not exposed to secondhand smoke, alternately, we think that that exposed group is going to have a higher level. And We know that we need to find our test statistic. And since our sample size is 40, for each, will use the conservative measure. and we have the difference between our two groups, which we look at these numbers and they look different. However, we look at the samples standard deviations, we find they are very large, so 138.08 sq divided by the sample size, And then the 62.53 squared Divided by the sample size. And when we do that calculation, we find that that test statistic comes out to be 1.8455. And so we're assuming that the difference between the two groups Is equal to zero. But we're getting a test statistic that's up here at like 1.8455. And again, this is the test statistic. The actual difference is like 40 something, but we want to find this which will be our p value. So what is the likelihood if these two are equal or their differences? 0? What's the likelihood of getting a test statistic that is greater than or equal to this value. And I used my T C D E. F. To find that and I got a p value of 0.36 and that is definitely less than 5%. So a five significance level we would have evidence to reject to reject the null and claim that the mean of the experimental does seem to be higher is higher than that uh group of non I said, experimental. I mean, the exposed group than the non experimental group that they don't end up having exposure. Now let's find a confidence interval, the appropriate confidence interval. Because we're using five significance for a one tailed test, five down here for a confidence interval. We would also want five in the higher level. So we really want to find a 90 confidence interval. And again, I'm going to use this degrees of freedom of 39. Now, my table does not have that. I was using, it has degrees of freedom for 30 and 40. And probably we could very safely use this one for 40 if the degrees of freedom is 39. But I'm actually going to look up and use my inverse nor inverse T Button. So if I go to inverse T and go to second and distribution and I go to inverse T And I'm going to plug in an area of 25. Let me type the Button in the area .5. And then I'm going to type in my degrees of freedom of 39 and then find out what that gives me. It tells me that that lower T value is For 39° of freedom is negative 1.68. And we would round that to five. And I believe if you look up this when it's 1.684, so notice that these are very very close. So when we find that uh that difference and let's just find what this difference is. This difference if we subtract eight and then five becomes a three A three and the five minus two, Three becomes a two. And then these two have a difference of 44. So that difference between those is 44.23 plus or minus. And then we put our test statistic, R r Rt star value here and then we'll use that times the square root of and we have that first standard deviation was again very large squared over 40 Plus the 62.53 squared over 40. And let's find this margin of air first. Okay. And so I have that 1.685 times the square root of now enter this in 1 38.8 squared divided by 40 Plus that 62.53 squared divided by that 40. And I get that margin of air to be 40 0.38 And so let's find the two values and I'm going to just store that value as X. And so I have 44.23- the x value. And that gives me 3.85. And then I can go back and second entry and just change that subtraction sign to an addition sign And I get 84.61. And so we're 90 confident that the actual confident that the actual difference between those two is somewhere in here and notice it does not it doesn't include zero. Which means we definitely do not think that they're equal, means we think they are different. So in part C. It says, can we conclude we definitely look at the group that had exposed proof that they definitely have seemed to have a higher level of that uh that narcotic or the drug the nicotine offset of them, the non exposed group.