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Ghen the folawing confidente ntenal for a population mean compuleMtfin Or emoi12.13 < / 12.73Answct How io enletojr ars*teeeleelaeltte...

Question

Ghen the folawing confidente ntenal for a population mean compuleMtfin Or emoi12.13 < / 12.73Answct How io enletojr ars*teeeleelaeltte

Ghen the folawing confidente ntenal for a population mean compule Mtfin Or emoi 12.13 < / 12.73 Answct How io enletojr ars*t eeeleelaeltte



Answers

Find the population mean or sample mean as indicated. Population: 3,6,10,12,14

In this problem, we have been asked to determine the population mean or the sample mean? And this problem, population is given the data points are 1, 19, 25 15, 12, 16, 28 13 and six. No sense of population is given. We will need to determine the population meat. And in this population we can see that the number of data points is not. Does the population mean? You Will be equal to the sum of the data points? So that is 1-plus 19. just 25 plus 15 plus 12 plus 16, 28 plus 13 plus six. This sum divided by the number of data points, which is equal tonight. So the some in the numerator is equal to 135. We divide this by nine In order to get 50, Hence the required population mean is 15. Yeah.

In this problem we need to determine the sample mean or the population mean? Now this problem, a sample of numbers is given the sample is crazy 13 48 and say. So we can see that the number of data points in the sample is equal to five. Now let us determine the sample me. The sample mean is eggs bar, which is equal to the sum of the data points in the samples. So that'll be 20 plus 13 plus four plus eight plus 10, divided by the number of data points and that is equal to five. Now the some in the numerator is equal to 55. We divide this by five so we get 11. Hence this means that the required sample mean of the given sample Is equal to the # 11.

In this problem, we have been asked to determine the population mean or the sample. Now this problem, a sample is given. The sample has the data points 83, 65 91 87 And 84. Now we can see that a sample has been given. So what we need to determine is the sample. Me. Now, I know that in this sample the number of data points is equal to fight. So the sample mean X. Bar will be well to the some of the numbers in the data points. So that will be 83. That's 65. It's 91. It was 87 x 84, divided by the total number of data points. So in the denominator we have five. So the sum in the numerator is equal to 410 and this is divided by five And 410, divided by five is equal to 82. Hence, the required sample mean is equal to 82. Okay.

The following is a solution to number 18. And this looks at the that the gestation period for human, so how long it takes for a human being deformed in the womb? And there was a sample of 12 uh babies, 12 infants that were being born or the process of Of growing in the womb. And um the standard deviation there was 16. And this is the population standard deviation. So we're actually given the population standard deviation, which means whenever we find the 95% confidence interval, we can go and use the z interval. So the question here was do we use a t interval or the interval? Whenever you're given that population standard deviation of sigma? Then you can use the z interval? Okay, so we can go ahead and Um use the data. So we're given 12 data values and I really suggest that you use um technology, especially if you're allowed to because it can be very very long to do this, you know the long way. But you would just find the X. Bar if you want to do the long way and then you plug it in the formula. But if you have a. T. I. T. Four I think these work pretty nicely for it. If you go to stat and then edit and you can see these are the data values here. So there should be 12 data values in L. One for me. And whenever you get those punched in then you go to stat and air over two tests. And like I said we're gonna use the Z. interval so go down to seven and just make sure data is highlighted. Like so so it's not summary stats. Its its data and signal was 16. Your list. Now mine is an L. One. If you put it in a different column and you'll just need to change that. If it's an L. Two you just go second to L. Three would be second three and so on and so forth, Frequency is one and then the sea level for these are 95%. And whenever we calculate that that gives us. So if you're curious, here's the X. Bar and here's the sample mean. But Um to 58.7 all the way up to to 76.8 are the that's the confidence interval for the mean gestation period in the womb. Okay so let's go and write that down. We got to 58 .7 and these are in days by the way. So to 258.7 days. So if you divide that by about 30 that'll tell you how many months. So it should be about 89 months And then 2- 76.8. There's your other Um number. Okay. So it doesn't say to do this. But if you wanted to interpret, this you would just say over 95% confident that the mean gestation period for human beings To grow is between 258.7 and 2 76.8 days.


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