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QUESTIONpoints Save AnswerUse tha givan sample data to construct the indicated confidance intarval for the population mean_sociologist deveions Iostto Measure attit...

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QUESTIONpoints Save AnswerUse tha givan sample data to construct the indicated confidance intarval for the population mean_sociologist deveions Iostto Measure attitudes about public transportation, and randomly selected subiects are given the test; Their mean score 76,2 and their standaro deviation is $ = 21,4. Construct tha 90% confidence interva for the mean score= all such subjects, essumethe population normally distributed_ (69.2, 83.2) 88.8) (68.2, 84.3) (64.5, 87.91 90.6)QUESTIONpoints Sav

QUESTION points Save Answer Use tha givan sample data to construct the indicated confidance intarval for the population mean_ sociologist deveions Iostto Measure attitudes about public transportation, and randomly selected subiects are given the test; Their mean score 76,2 and their standaro deviation is $ = 21,4. Construct tha 90% confidence interva for the mean score= all such subjects, essumethe population normally distributed_ (69.2, 83.2) 88.8) (68.2, 84.3) (64.5, 87.91 90.6) QUESTION points Save Answer Solve the problem: Find Ihe critical value sample with n = 18 and V &UO 1h>Mo 0.01 for 898 898



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Use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval. From a 3M Privacy Filters poll in which respondents were asked to identify their favorite seat when they fly: $n = 806 , x = 492$ who chose the window seat. Use a $99\%$ confidence level.

Into this lesson and this lesson we have this data to solve questions. Now we are looking at the best estimate for the population proportion trip. So the best estimate would be Yeah the number that Is for yes. All over the total number. And that is 5:31. All over 1002. So In three small places water We have Joe on five two. Yeah Let's take for the small places they work on 5- 99. All right. That is the first pad the second part. We are looking at the maiden of error. E. So the margin of L. E. C. Call to the critical value. Mhm. Times the P. Do you have calculated then? Schools of that -1. The sample proportion all over the total number. So when this let's look for the critical value. So we have The offer which is equal to 0.05. So this will become 04 and zero 25. Yes. Yeah. So we are looking at about 1997.5 President of the area to the left. And let's find that from the table. So 97.5 97.5%. And that is here. So 1.9 last 0.06. And that is 19. 1.96. Yeah. So with that we have on 96 times The P which you found us 0.5299 0.5299 one. Mine is their .5299. All over one. There was there were two. Yeah. So with that we have and I post made value of the margin of error. Yeah. Oh 0.0 Thursday Night that's the margin of error. The not as bad as to what write a statement that correctly interprets the confidence interval. The CPA do look at the confidence interval. Uh huh. So confidence interval, the proportion. Mm hmm mm. Yeah. Now we have the interval like this. Mhm. Yeah. You So that is 0.8-9 9 -0.0309. Mhm. Then we have a positive assemble that. Yeah. Mhm. Yeah. Mhm. So 0.8-9 nine Uh 5 to other. You have a 52. Yeah. Then if we subtract their zero 309 from it, that is 30.4 99. And here we have zero falling 56 08. Yes, so this is the confidence interval of the proportion the last part C Yeah, so we are interpreting this we uh 98% Uh was 95. So we are 95 questions confident that's the proportion. Okay, it's between yeah. Oh 0.499, Cool. And their .5608. All right, so this is the data a operation thing. Thanks for the time. This is the end of the lesson

Moreover, we have the following data set and we want to find the sample mean X. Bar, the sample standard deviation S. And then construct a 99% confidence interval for the population mean? You assuming it is normally distributed. So to start off, let's calculate exposure and S. X. Bar is the some of the data divided by N. In this case 17 64 and s is the sum of deviations about the mean squared all divided by n minus one, raised the one half or 200 to 2. Not with expire and s. We can begin to construct our confidence interval. So since we're going to be using a student's T distribution because we do not know the population standard deviation, we only have a sample standard deviation S. We're going to identify the T score corresponding to our confidence interval. So since we have a degree of freedom and minus 2011, the probability corresponding to a 99% confidence interval gives us a T. C equals 3.106 which we can have changed in the students to table on google and textbook next with our critical value TC. We construct our margin of error. E remember E is equal to t c turns s o r o n or in this case 226. Now with E, we can calculate our confidence interval, which is given by expo minus is less than you as an expert plus E or our final solution mu is between 1537 and 1990.

Mhm. MS question given that end it's 40. What X is 1 25? Yeah. Mhm. And because Standard deviation as 12 and nine. Okay. Uh D T up over to value for 99 confidence interval. Thanks 39 degrees. Mhm. Freedom Okay. is 2.70 and uh value table T Alice. So now to calculate 99% confidence interval, the opposition, you can use this general, you know, it's funny that So plugging in the values that we know 20.5 plus or minus 2.7 earlier Times, Over the square root of 40. Well I should give us two distinct values for the upper and lower bounds. Um Expectedly She will be 1 14.98. Lower bound and the upper bound will be 126.02. So this is the region for the 99% Clinton's level.

Welcome to this lesson in this lesson. We have the following data. The first the first one that we saw was the best estimate for the population or portion. With that one with a. We have the P. S. The X. The number that applies to all over the and the total. And that is 1083. All over 2518. So the estimates. Yeah. Mhm. Yeah. Okay. The best is make as 0.4301. Now we go to the next one that requires us to identify the value of marginal Farrell. We have the critical value for alpha on two Then a square it of the value. We just calculated 1- the valley all about the total. But you can see the point. Well look for Africa on two that critical while the critical yeah The confidence level was given to us as 90%. So we have an alfa Dallas 10% All the open one we divided by two. We have five zero wally. Is there one for their point one for the alpha. 0.1 Divide by two. Okay. So this is zero 05 For a month for that is 0.1 of 10%. Well all right so let's look at the table to find and there we have that is 95% to the left. So 95%. Oh we have Length 5% here So their .95 05. Yeah so that is 1.65. This 1.65. Then we can calculate the area because we have all that we need. The P. Was 0.40 point 43011 minus 0.4301 All over the Touro which is 2518- 518. Yeah. Now we have the arrow. The margin of error. Yeah. Yeah. 0.0163. That's the marginal girl. Let's go to the set. Bad work. I would have to create confidence interval. We have to contract confidence interval for the population parameter. So here we have the P mm minus which is led on the P. P. Is also less than the P. Cup Lazaro. So here we have 0.4301. My 0.0163. The ps in between these s within Okay. Okay, so on one end we have Does their .4301. Yeah. Mhm. That is zero coin 4138. Mhm. And on the other and we have 3.4 464. Okay, so this is the confidence interval for the population proportion. The last path we would interpret what we have This one. We uh 90% confident that the proportion Yes. Within just within 0.4138 zero coin 4464. All right, so that's the interpretation. Thanks for your time. This is the end of the lesson


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