Okay for this question, The population population equals 36. Sorry. 34 comma. That's a six. Coma, 41 coma 51 on, then. Any costed too? Because too, um, two samples of selected without replacement. We replacements. I'm sorry. So any posted to And then, um, the sample size for the first question, Because the first question save, um, if after identifying 16 possible samples, damage the sample size a 16. Okay, the sample size is 16. And then, um, after I'm going to find that find me off each sample. So we're supposed to find the meaning of example. We already know the population. We know, um, and we know December size, so finally, we don't. Each sample is very easy. This is going to be, um, sample mean because the some off all values divided by the number of the values and then the sample mean is gonna be the sum of all values divided by the number of values, which is gonna be one divided by 16. Because they're 16 possible samples. And this is going to give you zero points. 06 to 5. And then that's the answer. The second question wants us to own Compare the mean off the Oh, wait. We're still in the first question. I'm sorry. We're always supposed to construct the table representing the sample distribution of the sample. Mean and compared. Combined values off the sample mean that are the same. So to start the table, um, we're gonna have to ride the samples over here. And then we have to, um, to to know about the picture. Random. So we're gonna have to sit for everyone. So the samples are going to be 34. Commodity before. Let's focus matters for that's for commodity. Six. 34. There's a 4421 34 51 then moved to 36. That's a 6 34. That's his six. That's a six. We have 56. Just the 6. 34 to 1. And then 36 40 51. Rather. And then we moved to 4 to 1. 41 51 321 Oh, I'm so sorry. 41. 34. Okay, what's the 1 34. 41. 36 41. 41 on 41 51. They're mostly fifties. 51 Wanted to four 51 36 okay. 51 4 to 1 and 51. 51 and then we we're gonna have to find the mean because the question wants us to construct table off the sample destruction of the mean off the sample. Mean So the other parts is going to be, um it's gonna be me and the mean is some values divided by the number of values. And, you know, we have to values. We have two values for each one. So that's corpus. That four divided by two is what's going to give us the mean. And that's going to be 34. Yeah, And that's gonna be tested for for the second one. The mean is gonna be testified. It's a seven points five, 42 points, five. And we keep going down. We keep doing this. We get, though. That's a five. Um, that's a six 38 15 43.5 did 7.5. Yeah, 38.5 4 to 1. 46 42 5. It's right. Um, this is not really clear, so I'm gonna clean. Then we have 43. His life 46 and then 51 and then there are next side is gonna be the probability. And since we know that they're 16 samples, each other probabilities is gonna be on over 16 or otherwise 0.6 to 5. So that's going to be the policy for every single one of them. 2.660 point 06 to 5 Take Andi. That's it. Now combining combining values of example Me the same. Like the question told us to, um, the table will look like this. We have the sample mean over here and the probability in the other side. And then we know the sample means the sample means they're all off. These figures often subs burn. And since the repeated, we're going to list them one once. So we have 54. We have 35 we have 56. There's 7.5. We have this 8.5. Okay, we are 4 to 1. We have 42.5. We have 43 plans. Five. We are 46. Oh, yeah, it's a warm. And the probability the probability off well 34 is going to be 0.6 to 0.625 because it was. It was ill cod once on 35 or clouds wise, um, so is going to be so far. Of course. Why? So it's going to be 0.625 times two, and I was going to be 0.125 That's six Accord once, so it's going to be zero points. There was 6 to 5 at 7.5 or coats wise, so I was going to be zero points, 1 to 5. That's 8.5 o'clock twice to 0.15 41 or called once three points. There was 6 to 5 and then 42.5 or code twice. What's 3.5 or cold twice? 46 or quote twice. Zero planes once or five. And if it's one or cold ones and that's the end of the table. Um, the next question stays okay, compared the means of the population to the mean of the sampling distribution of the sample. Mean so we know that, um, the meaning of the sampling distribution off the sample mean is going to be you mean is going to be the total number off. Um, little talking about off mean off. Sample me. I'm sorry. Sports rooms was right. Sample mean the total number of sample mean divided by the own Well, it's supposed to be like the sample mean the probability multiplied by the sample mean each in each one of them. So 34 multiplied by zero points 06 to 5. 35 replied by all that. But the final answer is going to be footsie. So basically, we're gonna dio basically, we're going to do 34 multiplied by 0.6 to 5 on multiply all of that to you And they asked, The hotel on is going to give you 40.5 and thus the mean or you can do it. You can do it by saying on zero points you can do it by saying 0.6 to 5 on times 34. Um or you can do it by saying 3.6 to 5, then opening in brackets, added all the figures that has your 50.6 to 5 to make the calculation easier. But whatever way you choose to do it, you're still gonna get 40.5 as the meat off the sampling distribution off sample mean? And then you want us to compare thio mean of the population, the meaning of the population, or rather, population Me. Okay, publish on me population mean is the not the total number off the the some off the figures, which is the sum of the population, which started for 36 41 51 divided by the sum divided by the number. That's four because their floor populations. So it's gonna be that. Is this for 34 waas 36 close 41 Nos. 52 divided by four. And then this is going to give you 40.5, 14.5 and you can see they are the same. So they're equal. And then the next question three. Next question says, um, does that mean does this sample means that gets the value of the population mean under the sample means make good estimators of the publishing mean that so we yes, for both of them, the sense the sample mean targets the population mean because it is an unbiased estimator off population mean and it's because they're equal because your equal yes, yes,