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SAT coaching: A sample of 10 students took a class designed to improve their SAT math scores. Following are their scores before and after the class. Before After 334 368 378 396 467 488 470 489 473 473 443 448 459 473 426 428 493 525 382 382 Send data to Excel Part: 0/2 Part 1 of 2 (a) Construct a 99.9% confidence interval for the mean increase in scores after the class. Let $d$ represent the SAT score after taking the class minus the SAT score before. Use the TI-84 calculator to find the critical value and round the answers to at least one decimal place. A 99.9% confidence interval for the mean increase in scores after the class is $<\mu_d<$

          SAT coaching: A sample of 10 students took a class designed to improve their SAT math scores. Following are their scores before and after the class.
Before After
334 368
378 396
467 488
470 489
473 473
443 448
459 473
426 428
493 525
382 382
Send data to Excel
Part: 0/2
Part 1 of 2
(a) Construct a 99.9% confidence interval for the mean increase in scores after the class. Let $d$ represent the SAT score after taking the class minus the
SAT score before. Use the TI-84 calculator to find the critical value and round the answers to at least one decimal place.
A 99.9% confidence interval for the mean increase in scores after the class is $<\mu_d<$
        
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SAT coaching: A sample of 10 students took a class designed to improve their SAT math scores. Following are their scores before and after the class.
Before After
334 368
378 396
467 488
470 489
473 473
443 448
459 473
426 428
493 525
382 382
Send data to Excel
Part: 0/2
Part 1 of 2
(a) Construct a 99.9% confidence interval for the mean increase in scores after the class. Let $d$ represent the SAT score after taking the class minus the
SAT score before. Use the TI-84 calculator to find the critical value and round the answers to at least one decimal place.
A 99.9% confidence interval for the mean increase in scores after the class is $<\mud<$

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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SAT coaching: A sample of 10 students took Before After 334 368 278 396 467 488 470 489 473 473 443 448 459 473 426 428 493 525 382 382 Cspato) re their scores before and after the class 8 Send data to Excel Part 0/2 Part 1 of 2 (a) Construct a 99.9% confidence interval for the SAT score before. Use the TI-84 calculator to find the critical scores after the class. Let d represent the SAT score after taking the class minus the e and round the answers to at least one decimal place. The scores after the class is X 5
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Transcript

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00:01 Okay, so i see that you need help with this question.
00:02 It says a company that sells tutoring score course for sat wants to advertise that the course significantly improves sat scores.
00:11 The randomly selected 15 students that has take, has them take the sat, then write, then take the tutoring course, and then they take the sat again.
00:24 The data are shown in this worksheet.
00:26 Can the completely advertise that this project significantly improves sat scores? test a 0 .5, test at a 0 .5 significance level.
00:40 So what you're going to do is you are going to take 1 minus 0 .05 divided by 2, and that is going to be 0 .975.
00:55 And then you have t, 0 .975, and then your degree of freedom is going to be 28 because 15 plus 15 minus 2 is 28.
01:07 And then that is going to be 2 .0484.
01:14 Then what you're going to do next is you're going to take, you're going to calculate, so for, you're going to have to calculate the mean in the standard deviation.
01:26 And so the mean of before is going to be 488 .6, and then the mean for after is 530 .1333.
01:55 Then the standard deviation of before is 134 .3879, and the standard deviation for after is 59 .2547.
02:14 So then what you're going to have to do, let me just fix this 8.
02:18 So then what you're going to have to do is you have to then pull your variance...
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