The question your has given the data that the sample sizes 6 25 households and they've given the average or who has 2.3 persons. Poor sample Household understanding division, for example, is 1.7 fire. So you have to take everything, given statements are true or false and explain them. The first part states that the same Sam standard later for the sample averages 0.7 So to start with the Force bottom. But I know the data that we have and is 6 25 of the sample sites standing division is given us Oh, 1.75 Ando. The first part I'm going to check into started editor is 0.7 So if I apply the formula standard editor is given by the stand in division on that is divided by n. So if I substitute devalue here 1.75 that is divided by look off 6.5 Sophie value in this, we're getting this as 0.7 So therefore we see that the statement is too no, we're going to the next part. The question states that on anybody wasn't confidence in total for the average household size and the sample will be 2.162 point 44 So we need to check if this is correct or no. So then I can say that the 95% confidence in Doha sure got responds to toe standard errors. All right, so in this case, I can therefore say that this will begin by the average, which is given. It wasn't a question plus or minus. We take to winter the standard deviation. So then if I substituted, the value will have to go in 30 lesson minus. This is too into the standard deviation is uh oh, yeah, just one connection. This is supposed to be the started at our understand indignation. So this is a standard endorse. If I take this as 0.7 because you just calculated in part a. So then the value that I'm getting here. If you add and subtract after modifications, we have 2.30 plus or minus 0.14 Softer adding and subtracting. We're getting the Rangers 2.16 Omar who 0.44 So begin. Therefore conclude that this street mond what have given so nine if it wasn't confidence in Dover for the average household size and the city is 2.16 2.44 But here we can also say that a particular are confidence in door will Some radio robotic killer confidence in double Gore's the population evident, actually. And it turned not ours for the sample. So what are you here? It is actually governing for the sample that like what we've calculated. So therefore we conclude that given statement or hearers falls now the next part is the part. See? So for the park, see, the question is have to check on 95% confidence in trouble for the average household size and city is 2.16 to 2.44 So now, as you can see in the part be, you already proved this part. So the statement we can say is therefore true. So this is over here in the part be bigger than the solution. So we condemn force, eh? The statement was sure that the 95% off the class in double for the average household, what size in the city is 2.162 point 44 We approve that again here in Barbie. So I will Definitely The statement here given is true moving folder for the body People check. Uh, if 95% of the households in the city contain between 2.16 and 2.44 persons. So if I don't warn that part again, here's we've you will see that confidence in double off 95% says something about the sampling procedures we see it is saying about the sampling procedure. So therefore we can see that it could be duplicated that 95% off the household in the sample may contain between 2.162 point 44 persons. So that is why then therefore, we say that the loan statement over here is force now moving for the The next part is of even talk about the part e. So for the party, the question states that the 95% confidence interval is about right, because household size for was the normal call. So, yes, when they talk about the normal car, you're going to say that the individual household size may not follow the normal course, so if I talk about. But you know, the sample averages of the household size will follow normal call So I can see that the 95 persons off the glass in Dublin, um is a bold right, because the probability hist o gram for the average, it actually draws the normal call. Mean draws. We can see it follows the normal call and therefore times concluding that the statement that they've given us false or here now we want to the next part. For what If the question states that the 90 the night that wasn't confidence in total is about right, because but 6 25 draws from the box that probably he's took them for the average of the drawers before the normal coughs. Oh, yes, we've just spoken about it in the part E. So the statement is actually true. So we can see that, uh, the 95% of the confidence in double is actually about right. Because 6 45 draws from this box as I have mentioned it and party that we the probabilities, took down for rose the normal calls. Therefore, we say that the part if the statement, if it's true,